619 lines
47 KiB
XML
619 lines
47 KiB
XML
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<label>serif/discretization/functional_space/space.hpp</label>
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<link refid="space_8hpp"/>
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|||
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|||
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|||
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|||
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|||
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|||
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|
<link refid="numeric_8hpp"/>
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|||
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|||
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|||
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|||
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|||
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|||
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|||
|
|
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|||
|
|
<link refid="cleaning_8hpp"/>
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|||
|
|
<childnode refid="6" relation="include">
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|||
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|
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|||
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|
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|||
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|
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|||
|
|
<label>serif/utils/misc/std_helper/variadic_cleaning.hpp</label>
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|||
|
|
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|||
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|||
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|||
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|||
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|||
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|
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|||
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|
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
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|||
|
|
<label>cstddef</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="42">
|
|||
|
|
<label>cstdint</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="40">
|
|||
|
|
<label>cstdio</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="46">
|
|||
|
|
<label>cstdlib</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="49">
|
|||
|
|
<label>exception</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="20">
|
|||
|
|
<label>format</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="52">
|
|||
|
|
<label>iostream</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="23">
|
|||
|
|
<label>magic_enum/magic_enum_all.hpp</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="33">
|
|||
|
|
<label>nameof.hpp</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="27">
|
|||
|
|
<label>numeric</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="26">
|
|||
|
|
<label>span</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="38">
|
|||
|
|
<label>stdexcept</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="41">
|
|||
|
|
<label>string</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="3">
|
|||
|
|
<label>string_view</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="5">
|
|||
|
|
<label>tuple</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="6">
|
|||
|
|
<label>type_traits</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="47">
|
|||
|
|
<label>unistd.h</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="22">
|
|||
|
|
<label>unordered_map</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="7">
|
|||
|
|
<label>utility</label>
|
|||
|
|
</node>
|
|||
|
|
<node id="44">
|
|||
|
|
<label>version</label>
|
|||
|
|
</node>
|
|||
|
|
</incdepgraph>
|
|||
|
|
<invincdepgraph>
|
|||
|
|
<node id="17">
|
|||
|
|
<label>src/compile_time_checks/serif/backend_independent.cpp</label>
|
|||
|
|
<link refid="backend__independent_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="2">
|
|||
|
|
<label>src/compile_time_checks/serif/model/barotropic_density.cpp</label>
|
|||
|
|
<link refid="barotropic__density_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="3">
|
|||
|
|
<label>src/compile_time_checks/serif/model/density_primal.cpp</label>
|
|||
|
|
<link refid="density__primal_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="4">
|
|||
|
|
<label>src/compile_time_checks/serif/model/execution_validation.cpp</label>
|
|||
|
|
<link refid="execution__validation_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="5">
|
|||
|
|
<label>src/compile_time_checks/serif/model/normalization.cpp</label>
|
|||
|
|
<link refid="normalization_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="6">
|
|||
|
|
<label>src/compile_time_checks/serif/operators/plan.cpp</label>
|
|||
|
|
<link refid="operators_2plan_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="7">
|
|||
|
|
<label>src/compile_time_checks/serif/solver/normalization/plan.cpp</label>
|
|||
|
|
<link refid="solver_2normalization_2plan_8cpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="12">
|
|||
|
|
<label>src/include/serif/backend/mfem/serialize/configuration.hpp</label>
|
|||
|
|
<link refid="backend_2mfem_2serialize_2configuration_8hpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="11">
|
|||
|
|
<label>src/include/serif/backend/mfem/serialize/discretization.hpp</label>
|
|||
|
|
<link refid="serialize_2discretization_8hpp"/>
|
|||
|
|
<childnode refid="12" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="14">
|
|||
|
|
<label>src/include/serif/backend/mfem/serialize/options.hpp</label>
|
|||
|
|
<link refid="backend_2mfem_2serialize_2options_8hpp"/>
|
|||
|
|
</node>
|
|||
|
|
<node id="1">
|
|||
|
|
<label>src/include/serif/equations/angular_momentum.hpp</label>
|
|||
|
|
<link refid="angular__momentum_8hpp"/>
|
|||
|
|
<childnode refid="2" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="3" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="4" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="5" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="6" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="7" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="8" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="8">
|
|||
|
|
<label>src/include/serif/equations/equations.hpp</label>
|
|||
|
|
<link refid="equations_2equations_8hpp"/>
|
|||
|
|
<childnode refid="9" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="9">
|
|||
|
|
<label>src/include/serif/utils/serialize/equations.hpp</label>
|
|||
|
|
<link refid="utils_2serialize_2equations_8hpp"/>
|
|||
|
|
<childnode refid="10" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="10">
|
|||
|
|
<label>src/include/serif/utils/serialize/model.hpp</label>
|
|||
|
|
<link refid="utils_2serialize_2model_8hpp"/>
|
|||
|
|
<childnode refid="11" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="13" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="15" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="13">
|
|||
|
|
<label>src/include/serif/utils/serialize/numerics.hpp</label>
|
|||
|
|
<link refid="numerics_8hpp"/>
|
|||
|
|
<childnode refid="12" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="14" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
<childnode refid="15" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="16">
|
|||
|
|
<label>src/include/serif/utils/serialize/serialize.hpp</label>
|
|||
|
|
<link refid="serialize_8hpp"/>
|
|||
|
|
<childnode refid="17" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
<node id="15">
|
|||
|
|
<label>src/include/serif/utils/serialize/solver.hpp</label>
|
|||
|
|
<link refid="utils_2serialize_2solver_8hpp"/>
|
|||
|
|
<childnode refid="16" relation="include">
|
|||
|
|
</childnode>
|
|||
|
|
</node>
|
|||
|
|
</invincdepgraph>
|
|||
|
|
<innerclass refid="classserif_1_1equations_1_1_angular_momentum_constraint" prot="public">serif::equations::AngularMomentumConstraint</innerclass>
|
|||
|
|
<innernamespace refid="namespaceserif">serif</innernamespace>
|
|||
|
|
<innernamespace refid="namespaceserif_1_1equations">serif::equations</innernamespace>
|
|||
|
|
<briefdescription>
|
|||
|
|
<para>File containing the angular momentum constraint equation, which enforces a global constraint on the total angular momentum of a system. </para>
|
|||
|
|
</briefdescription>
|
|||
|
|
<detaileddescription>
|
|||
|
|
<para><simplesect kind="author"><para>Emily M. Boudreaux</para>
|
|||
|
|
</simplesect>
|
|||
|
|
</para>
|
|||
|
|
<para><simplesect kind="note"><para>The angular momentum constraint is a global constraint that is enforced by integrating the point-wise contributions of the angular momentum density over the entire domain. The integrand is given by <formula id="57">$ j_\parallel = \rho \Omega s^2$</formula>, where <formula id="58">$s^2 = |\hat{n} × (r − r_{c})|^2$</formula> is the cylindrical radius squared, and <formula id="59">$\hat{n}$</formula> is the unit rotation axis. The solver will integrate this over the domain and compare it to the target angular momentum to enforce the constraint.</para>
|
|||
|
|
</simplesect>
|
|||
|
|
A few important notes about the implementation</para>
|
|||
|
|
<para><itemizedlist>
|
|||
|
|
<listitem><para>The way the equation system plugs into the mfem backend is such that equations should only ever return point wise contributions to the residual, not a global integrated residual. This is why we return <formula id="57">$ j_\parallel = \rho \Omega s^2$</formula> as the residual, rather than <formula id="60">$ j_\parallel - J_{\text{target}}$</formula>. However we still need to subtract the target angular momentum from the integrated residual to enforce the constraint. This is done by implementing the method ::residual_offset() which returns <formula id="61">$ -J_{\text{target}}$</formula>. The backend will automatically detect and, if present, subtract this from the integrated residual to enforce the constraint.</para>
|
|||
|
|
</listitem><listitem><para>The solver can choose to validate the angular momentum constraint by integrating the ::validation_integrand() over the domain and then passing this result to ::validate_integral(double result). Note that this is not specific to this equation but a feature of the overall system </para>
|
|||
|
|
</listitem></itemizedlist>
|
|||
|
|
</para>
|
|||
|
|
</detaileddescription>
|
|||
|
|
<programlisting>
|
|||
|
|
<codeline lineno="1"><highlight class="preprocessor">#pragma<sp/>once</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="2"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="24"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="25"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><cmath></highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="26"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><string_view></highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="27"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="28"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>"<ref refid="equations_2contributions_8hpp" kindref="compound">serif/equations/contributions.hpp</ref>"</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="29"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>"<ref refid="point_8hpp" kindref="compound">serif/equations/point.hpp</ref>"</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="30"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>"<ref refid="rigid__rotation_8hpp" kindref="compound">serif/equations/rigid_rotation.hpp</ref>"</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="31"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="32" refid="namespaceserif_1_1equations" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1equations" kindref="compound">serif::equations</ref></highlight></codeline>
|
|||
|
|
<codeline lineno="33"><highlight class="normal">{</highlight></codeline>
|
|||
|
|
<codeline lineno="45" refid="classserif_1_1equations_1_1_angular_momentum_constraint" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">class<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a652fac054ce929739c60a13dadfd9071" kindref="member">AngularMomentumConstraint</ref><sp/>final<sp/>:<sp/></highlight><highlight class="keyword">public</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1equations_1_1_contribution" kindref="compound">Contribution</ref><discretization::forms::Operand<discretization::blocks::rotation::angular_velocity>></highlight></codeline>
|
|||
|
|
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
|
|||
|
|
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">public</highlight><highlight class="normal">:</highlight></codeline>
|
|||
|
|
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf4a227c1e5a52627eca735051b64849" kindref="member">Density</ref><sp/>=<sp/><ref refid="structserif_1_1discretization_1_1blocks_1_1density_1_1mass" kindref="compound">discretization::blocks::density::mass</ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a81fe8a00051a58771486bcb0f408fa82" kindref="member">ResidualQuantity</ref><sp/>=<sp/><ref refid="structserif_1_1dimensions_1_1_angular_momentum" kindref="compound">dimensions::AngularMomentum</ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf680d6cac22c684ce3d76230c9e58dc" kindref="member">AngularVelocity</ref><sp/>=<sp/><ref refid="structserif_1_1discretization_1_1blocks_1_1rotation_1_1angular__velocity" kindref="compound">discretization::blocks::rotation::angular_velocity</ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1abe60597bee603a1c76bac47c1b1f72e9" kindref="member">DensityValue</ref><sp/>=<sp/><ref refid="structserif_1_1discretization_1_1forms_1_1_operand" kindref="compound">discretization::forms::Operand<Density></ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a7ceda836712735d55961e387b623afb1" kindref="member">AngularVelocityValue</ref><sp/>=<sp/><ref refid="structserif_1_1discretization_1_1forms_1_1_operand" kindref="compound">discretization::forms::Operand<AngularVelocity></ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1ac749374c3a1d4215741ddc15da123cb9" kindref="member">Operands</ref><sp/>=<sp/><ref refid="structserif_1_1utils_1_1types_1_1_type_list" kindref="compound">utils::types::TypeList<DensityValue, AngularVelocityValue></ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="54"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>std::string_view<sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1ae8710c57ed9a6336e86c9da263ef0641" kindref="member">name</ref><sp/>=<sp/></highlight><highlight class="stringliteral">"angular<sp/>momentum"</highlight><highlight class="normal">;</highlight></codeline>
|
|||
|
|
<codeline lineno="56"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">explicit</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a652fac054ce929739c60a13dadfd9071" kindref="member">AngularMomentumConstraint</ref>(</highlight></codeline>
|
|||
|
|
<codeline lineno="59"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>target_axial_angular_momentum,</highlight></codeline>
|
|||
|
|
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_rigid_rotation_1a1e11c2a12ffc17fd826e02ec5ac19311" kindref="member">RigidRotation::Vector</ref><sp/>&rotation_axis<sp/>=<sp/>{0.0,<sp/>0.0,<sp/>1.0},</highlight></codeline>
|
|||
|
|
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_rigid_rotation_1a1e11c2a12ffc17fd826e02ec5ac19311" kindref="member">RigidRotation::Vector</ref><sp/>&axis_origin<sp/>=<sp/>{}</highlight></codeline>
|
|||
|
|
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/>:</highlight></codeline>
|
|||
|
|
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a4eaebc743ccc77773ad7e2e8a03bebea" kindref="member">m_target_axial_angular_momentum</ref>(target_axial_angular_momentum),</highlight></codeline>
|
|||
|
|
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a818654195e9cfa29ef68b141f16ef4ce" kindref="member">m_unit_rotation</ref>(<ref refid="classserif_1_1equations_1_1_rigid_rotation_1a3aace3f5fe0ec7d0714b21862b7ca199" kindref="member">RigidRotation::unit_rotation</ref>(rotation_axis,<sp/>axis_origin))</highlight></codeline>
|
|||
|
|
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
|
|||
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<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1utils_1_1errors" kindref="compound">utils::errors</ref>;</highlight></codeline>
|
|||
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|
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure<SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument>(std::isfinite(target_axial_angular_momentum)<sp/>&&<sp/>target_axial_angular_momentum<sp/>>=<sp/>0.0,<sp/></highlight><highlight class="stringliteral">"Target<sp/>angular<sp/>momentum<sp/>must<sp/>be<sp/>finite<sp/>and<sp/>nonnegative."</highlight><highlight class="normal">);</highlight></codeline>
|
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<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
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<codeline lineno="69"><highlight class="normal"></highlight></codeline>
|
|||
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<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/><ref refid="structserif_1_1equations_1_1_point_linearization" kindref="compound">PointLinearization<Operands></ref><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a018d2c56124baf1a4943cfc720595e7a" kindref="member">evaluate</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1equations_1_1_equation_point" kindref="compound">EquationPoint<Operands></ref>&<sp/>point)</highlight><highlight class="keyword"><sp/>const</highlight></codeline>
|
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<codeline lineno="92"><highlight class="keyword"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="normal">{</highlight></codeline>
|
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<codeline lineno="93"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>mass_density<sp/>=<sp/>point.<ref refid="structserif_1_1equations_1_1_equation_point_1a9a3734ccf2487dfccfc2613917f7d4e8" kindref="member">fields</ref>.get<<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf4a227c1e5a52627eca735051b64849" kindref="member">Density</ref>>();</highlight></codeline>
|
|||
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<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>angular_velocity<sp/>=<sp/>point.<ref refid="structserif_1_1equations_1_1_equation_point_1a9a3734ccf2487dfccfc2613917f7d4e8" kindref="member">fields</ref>.get<<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf680d6cac22c684ce3d76230c9e58dc" kindref="member">AngularVelocity</ref>>();</highlight></codeline>
|
|||
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<codeline lineno="95"><highlight class="normal"></highlight></codeline>
|
|||
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<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Unit<sp/>rotation:<sp/>s²<sp/>=<sp/>2Ψ₁<sp/>=<sp/>|n̂<sp/>×<sp/>(r<sp/>−<sp/>rₐ)|²;<sp/>∇Ψ₁<sp/>=<sp/>λ⊥.</highlight><highlight class="normal"></highlight></codeline>
|
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<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>cylindrical_radius_squared<sp/>=<sp/>2.0<sp/>*<sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a818654195e9cfa29ef68b141f16ef4ce" kindref="member">m_unit_rotation</ref>.centrifugal_potential(point.<ref refid="structserif_1_1equations_1_1_equation_point_1ab6f0241afc0150684f4917a3b6cdce36" kindref="member">position</ref>);</highlight></codeline>
|
|||
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<codeline lineno="98"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="99"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>dI∥/dV<sp/>=<sp/>ρs²;<sp/>λ⊥<sp/>is<sp/>the<sp/>displacement<sp/>perpendicular<sp/>to<sp/>the<sp/>axis.</highlight><highlight class="normal"></highlight></codeline>
|
|||
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<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>moment_of_inertia_density<sp/>=<sp/>mass_density<sp/>*<sp/>cylindrical_radius_squared;</highlight></codeline>
|
|||
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|
<codeline lineno="101"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>perpendicular_displacement<sp/>=<sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a818654195e9cfa29ef68b141f16ef4ce" kindref="member">m_unit_rotation</ref>.centrifugal_potential_gradient(point.<ref refid="structserif_1_1equations_1_1_equation_point_1ab6f0241afc0150684f4917a3b6cdce36" kindref="member">position</ref>);</highlight></codeline>
|
|||
|
|
<codeline lineno="102"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="103"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1equations_1_1_point_linearization" kindref="compound">PointLinearization<Operands></ref><sp/>result;</highlight></codeline>
|
|||
|
|
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result.<ref refid="structserif_1_1equations_1_1_point_linearization_1a9bc0792fca97f037ddede6adacf0f422" kindref="member">residual</ref><sp/>=<sp/>angular_velocity<sp/>*<sp/>moment_of_inertia_density;<sp/></highlight><highlight class="comment">//<sp/>j∥<sp/>=<sp/>Ωρs².</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
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<codeline lineno="105"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result.<ref refid="structserif_1_1equations_1_1_point_linearization_1a67c6f514532b7eae1456c4f70d964878" kindref="member">field_derivatives</ref>.get<<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf4a227c1e5a52627eca735051b64849" kindref="member">Density</ref>>()<sp/>=<sp/>angular_velocity<sp/>*<sp/>cylindrical_radius_squared;<sp/></highlight><highlight class="comment">//<sp/>∂j∥/∂ρ<sp/>=<sp/>Ωs².</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result.<ref refid="structserif_1_1equations_1_1_point_linearization_1a67c6f514532b7eae1456c4f70d964878" kindref="member">field_derivatives</ref>.get<<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf680d6cac22c684ce3d76230c9e58dc" kindref="member">AngularVelocity</ref>>()<sp/>=<sp/>moment_of_inertia_density;<sp/></highlight><highlight class="comment">//<sp/>∂j∥/∂Ω<sp/>=<sp/>ρs².</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="108"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>∇j∥<sp/>=<sp/>2Ωρλ⊥,<sp/>holding<sp/>ρ<sp/>and<sp/>Ω<sp/>fixed.</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>component<sp/>=<sp/>0;<sp/>component<sp/><<sp/>3;<sp/>++component)</highlight></codeline>
|
|||
|
|
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
|
|||
|
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<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result.<ref refid="structserif_1_1equations_1_1_point_linearization_1aca51342a3b8658954b1dc0c1ff3e8209" kindref="member">position_derivative</ref>[component]<sp/>=<sp/>2.0<sp/>*<sp/>angular_velocity<sp/>*<sp/>mass_density<sp/>*<sp/>perpendicular_displacement[component];</highlight></codeline>
|
|||
|
|
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
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<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
|
|||
|
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<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
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<codeline lineno="116"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="129"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a207e9e607971ca80673baf599e2d17fa" kindref="member">additional_order</ref>(<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1abe60597bee603a1c76bac47c1b1f72e9" kindref="member">DensityValue</ref>,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>position_order)</highlight></codeline>
|
|||
|
|
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
|
|||
|
|
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>2<sp/>*<sp/>position_order;</highlight></codeline>
|
|||
|
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<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
|
|
<codeline lineno="133"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="145"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a207e9e607971ca80673baf599e2d17fa" kindref="member">additional_order</ref>(<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a7ceda836712735d55961e387b623afb1" kindref="member">AngularVelocityValue</ref>,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>position_order)</highlight></codeline>
|
|||
|
|
<codeline lineno="146"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
|
|||
|
|
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>Density::FunctionalSpace::order<sp/>+<sp/>2<sp/>*<sp/>position_order;</highlight></codeline>
|
|||
|
|
<codeline lineno="148"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
|
|
<codeline lineno="149"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="161"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1ad905d5e44f072b2269b1453dac627404" kindref="member">residual_offset</ref>()</highlight><highlight class="keyword"><sp/>const</highlight></codeline>
|
|||
|
|
<codeline lineno="162"><highlight class="keyword"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="normal">{</highlight></codeline>
|
|||
|
|
<codeline lineno="163"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>-<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a4eaebc743ccc77773ad7e2e8a03bebea" kindref="member">m_target_axial_angular_momentum</ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="164"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
|
|
<codeline lineno="165"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="166"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="183"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a7a9840656fb6e5c8eabd8ad880a012b4" kindref="member">validation_integrand</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1equations_1_1_equation_point" kindref="compound">EquationPoint<Operands></ref>&,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1equations_1_1_point_linearization" kindref="compound">PointLinearization<Operands></ref>&<sp/>physics)</highlight></codeline>
|
|||
|
|
<codeline lineno="184"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
|
|||
|
|
<codeline lineno="185"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>physics.<ref refid="structserif_1_1equations_1_1_point_linearization_1a67c6f514532b7eae1456c4f70d964878" kindref="member">field_derivatives</ref>.get<<ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1adf680d6cac22c684ce3d76230c9e58dc" kindref="member">AngularVelocity</ref>>();</highlight></codeline>
|
|||
|
|
<codeline lineno="186"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
|
|
<codeline lineno="187"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="199"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1ad7526c9c4bd5000609d270da74856b4b" kindref="member">validate_integral</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>axial_moment_of_inertia)<sp/>{</highlight></codeline>
|
|||
|
|
<codeline lineno="200"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1utils_1_1errors" kindref="compound">utils::errors</ref>;</highlight></codeline>
|
|||
|
|
<codeline lineno="201"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure<SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::domain_error>(std::isfinite(axial_moment_of_inertia)<sp/>&&<sp/>axial_moment_of_inertia<sp/>>=<sp/>0.0,<sp/></highlight><highlight class="stringliteral">"The<sp/>moment<sp/>of<sp/>inertia<sp/>must<sp/>be<sp/>finite<sp/>and<sp/>nonnegative."</highlight><highlight class="normal">);</highlight></codeline>
|
|||
|
|
<codeline lineno="202"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|||
|
|
<codeline lineno="203"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="205"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_rigid_rotation" kindref="compound">RigidRotation</ref>&<sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a0ac8ce019a136a77bc106f5b5f06912c" kindref="member">rotation</ref>()<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">noexcept</highlight><highlight class="normal"><sp/>{<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a818654195e9cfa29ef68b141f16ef4ce" kindref="member">m_unit_rotation</ref>;<sp/>}</highlight></codeline>
|
|||
|
|
<codeline lineno="206"><highlight class="normal"></highlight></codeline>
|
|||
|
|
<codeline lineno="207"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">private</highlight><highlight class="normal">:</highlight></codeline>
|
|||
|
|
<codeline lineno="208"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a4eaebc743ccc77773ad7e2e8a03bebea" kindref="member">m_target_axial_angular_momentum</ref>;<sp/><sp/></highlight></codeline>
|
|||
|
|
<codeline lineno="209"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1equations_1_1_rigid_rotation" kindref="compound">RigidRotation</ref><sp/><ref refid="classserif_1_1equations_1_1_angular_momentum_constraint_1a818654195e9cfa29ef68b141f16ef4ce" kindref="member">m_unit_rotation</ref>;<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
|
|||
|
|
<codeline lineno="210"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
|
|||
|
|
<codeline lineno="211"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>serif::equations</highlight><highlight class="normal"></highlight></codeline>
|
|||
|
|
</programlisting>
|
|||
|
|
<location file="src/include/serif/equations/angular_momentum.hpp"/>
|
|||
|
|
</compounddef>
|
|||
|
|
</doxygen>
|