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lines changed Original file line number Diff line number Diff line change 9999</ div > <!--header-->
100100< div class ="contents ">
101101
102- < p > RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \tfrac {2}{3}\chi(\alpha K-\partial_i\beta^i)\).
102+ < p > RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \frac {2}{3}\chi(\alpha K-\partial_i\beta^i)\).
103103< a href ="#details "> More...</ a > </ p >
104104< div class ="textblock "> < code > #include "< a class ="el " href ="_b_s_s_n_grid_so_a_8hpp_source.html "> ../Fields/BSSNGridSoA.hpp</ a > "</ code > < br />
105105< code > #include "< a class ="el " href ="_grid_layout_8hpp_source.html "> Tensorium_Grid/Grid/GridLayout.hpp</ a > "</ code > < br />
134134< tr class ="memdesc:a63018070ef162fcb1bc235bd8e212f8f "> < td class ="mdescLeft ">  </ td > < td class ="mdescRight "> Fill the RHS buffer for \(\chi\) inside the padded interior region. < br /> </ td > </ tr >
135135</ table >
136136< a name ="details " id ="details "> </ a > < h2 id ="header-details " class ="groupheader "> Detailed Description</ h2 >
137- < div class ="textblock "> < p > RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \tfrac {2}{3}\chi(\alpha K-\partial_i\beta^i)\). </ p >
137+ < div class ="textblock "> < p > RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \frac {2}{3}\chi(\alpha K-\partial_i\beta^i)\). </ p >
138138< p > The implementation evaluates </ p > < p class ="formulaDsp ">
139139\[\partial_t\chi = \beta^i\partial_i\chi + \tfrac{2}{3}\chi(\alpha K-\partial_i\beta^i) + \mathcal{D}_6[\chi]
140140\]
Original file line number Diff line number Diff line change 109109< tr class ="memitem:BSSNEvolutionATilde_2Ehpp " id ="r_BSSNEvolutionATilde_2Ehpp "> < td class ="memItemLeft "> < a href ="_b_s_s_n_evolution_a_tilde_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a >  </ td > < td class ="memItemRight "> < a class ="el " href ="_b_s_s_n_evolution_a_tilde_8hpp.html "> BSSNEvolutionATilde.hpp</ a > </ td > </ tr >
110110< tr class ="memdesc:_b_s_s_n_evolution_a_tilde_8hpp "> < td class ="mdescLeft ">  </ td > < td class ="mdescRight "> RHS for the trace-free extrinsic curvature \(\tilde{A}_{ij}\). < br /> </ td > </ tr >
111111< tr class ="memitem:BSSNEvolutionChi_2Ehpp " id ="r_BSSNEvolutionChi_2Ehpp "> < td class ="memItemLeft "> < a href ="_b_s_s_n_evolution_chi_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a >  </ td > < td class ="memItemRight "> < a class ="el " href ="_b_s_s_n_evolution_chi_8hpp.html "> BSSNEvolutionChi.hpp</ a > </ td > </ tr >
112- < tr class ="memdesc:_b_s_s_n_evolution_chi_8hpp "> < td class ="mdescLeft ">  </ td > < td class ="mdescRight "> RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \tfrac {2}{3}\chi(\alpha K-\partial_i\beta^i)\). < br /> </ td > </ tr >
112+ < tr class ="memdesc:_b_s_s_n_evolution_chi_8hpp "> < td class ="mdescLeft ">  </ td > < td class ="mdescRight "> RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \frac {2}{3}\chi(\alpha K-\partial_i\beta^i)\). < br /> </ td > </ tr >
113113< tr class ="memitem:BSSNEvolutionCommon_2Ehpp " id ="r_BSSNEvolutionCommon_2Ehpp "> < td class ="memItemLeft "> < a href ="_b_s_s_n_evolution_common_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a >  </ td > < td class ="memItemRight "> < a class ="el " href ="_b_s_s_n_evolution_common_8hpp.html "> BSSNEvolutionCommon.hpp</ a > </ td > </ tr >
114114< tr class ="memdesc:_b_s_s_n_evolution_common_8hpp "> < td class ="mdescLeft ">  </ td > < td class ="mdescRight "> Shared utilities (interior clamping helpers) for all RHS kernels. < br /> </ td > </ tr >
115115< tr class ="memitem:BSSNEvolutionGamma_2Ehpp " id ="r_BSSNEvolutionGamma_2Ehpp "> < td class ="memItemLeft "> < a href ="_b_s_s_n_evolution_gamma_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a >  </ td > < td class ="memItemRight "> < a class ="el " href ="_b_s_s_n_evolution_gamma_8hpp.html "> BSSNEvolutionGamma.hpp</ a > </ td > </ tr >
Original file line number Diff line number Diff line change 156156< tr id ="row_0_0_3_0_1_1_0_ " class ="odd " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_grid_derivatives_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_grid_derivatives_8hpp.html " target ="_self "> BSSNGridDerivatives.hpp</ a > </ td > < td class ="desc "> High-order finite-difference stencils and dissipation operators used by the BSSN grid </ td > </ tr >
157157< tr id ="row_0_0_3_0_1_2_ " class ="odd "> < td class ="entry "> < span style ="width:80px;display:inline-block; ">  </ span > < span id ="arr_0_0_3_0_1_2_ " class ="arrow " onclick ="dynsection.toggleFolder('0_0_3_0_1_2_') "> < span class ="arrowhead closed "> </ span > </ span > < span id ="img_0_0_3_0_1_2_ " class ="iconfolder " onclick ="dynsection.toggleFolder('0_0_3_0_1_2_') "> < div class ="folder-icon "> </ div > </ span > < a class ="el " href ="dir_73f1d5e07bd4a55778447360a5071440.html " target ="_self "> Evolution</ a > </ td > < td class ="desc "> </ td > </ tr >
158158< tr id ="row_0_0_3_0_1_2_0_ " class ="even " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_evolution_a_tilde_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_evolution_a_tilde_8hpp.html " target ="_self "> BSSNEvolutionATilde.hpp</ a > </ td > < td class ="desc "> RHS for the trace-free extrinsic curvature \(\tilde{A}_{ij}\) </ td > </ tr >
159- < tr id ="row_0_0_3_0_1_2_1_ " class ="even " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_evolution_chi_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_evolution_chi_8hpp.html " target ="_self "> BSSNEvolutionChi.hpp</ a > </ td > < td class ="desc "> RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \tfrac {2}{3}\chi(\alpha K-\partial_i\beta^i)\) </ td > </ tr >
159+ < tr id ="row_0_0_3_0_1_2_1_ " class ="even " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_evolution_chi_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_evolution_chi_8hpp.html " target ="_self "> BSSNEvolutionChi.hpp</ a > </ td > < td class ="desc "> RHS for the conformal factor equation \((\partial_t-\mathcal{L}_\beta)\chi = \frac {2}{3}\chi(\alpha K-\partial_i\beta^i)\) </ td > </ tr >
160160< tr id ="row_0_0_3_0_1_2_2_ " class ="even " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_evolution_common_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_evolution_common_8hpp.html " target ="_self "> BSSNEvolutionCommon.hpp</ a > </ td > < td class ="desc "> Shared utilities (interior clamping helpers) for all RHS kernels </ td > </ tr >
161161< tr id ="row_0_0_3_0_1_2_3_ " class ="even " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_evolution_gamma_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_evolution_gamma_8hpp.html " target ="_self "> BSSNEvolutionGamma.hpp</ a > </ td > < td class ="desc "> RHS for the contracted connection \(\tilde{\Gamma}^i\) </ td > </ tr >
162162< tr id ="row_0_0_3_0_1_2_4_ " class ="even " style ="display:none; "> < td class ="entry "> < span style ="width:112px;display:inline-block; ">  </ span > < a href ="_b_s_s_n_evolution_gamma_tilde_8hpp_source.html "> < span class ="icondoc "> < div class ="doc-icon "> </ div > </ span > </ a > < a class ="el " href ="_b_s_s_n_evolution_gamma_tilde_8hpp.html " target ="_self "> BSSNEvolutionGammaTilde.hpp</ a > </ td > < td class ="desc "> RHS for the conformal metric \(\tilde{\gamma}_{ij}\) </ td > </ tr >
Original file line number Diff line number Diff line change 55
66/* *
77 * @file BSSNEvolutionChi.hpp
8- * @brief RHS for the conformal factor equation \f$(\partial_t-\mathcal{L}_\beta)\chi = \tfrac {2}{3}\chi(\alpha K-\partial_i\beta^i)\f$.
8+ * @brief RHS for the conformal factor equation \f$(\partial_t-\mathcal{L}_\beta)\chi = \frac {2}{3}\chi(\alpha K-\partial_i\beta^i)\f$.
99 * @details The implementation evaluates
1010 * \f[
1111 * \partial_t\chi = \beta^i\partial_i\chi + \tfrac{2}{3}\chi(\alpha K-\partial_i\beta^i) + \mathcal{D}_6[\chi]
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