SpECTRE Documentation Coverage Report
Current view: top level - Evolution/Systems/Ccz4 - ATilde.hpp Hit Total Coverage
Commit: b5f497991094937944b0a3f519166bb54739d08a Lines: 3 4 75.0 %
Date: 2024-03-28 18:20:13
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          Line data    Source code
       1           0 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : #pragma once
       5             : 
       6             : #include <cstddef>
       7             : 
       8             : #include "DataStructures/Tensor/TypeAliases.hpp"
       9             : #include "Utilities/Gsl.hpp"
      10             : 
      11           1 : namespace Ccz4 {
      12             : /// @{
      13             : /*!
      14             :  * \brief Computes the trace-free part of the extrinsic curvature
      15             :  *
      16             :  * \details Computes the trace-free part as:
      17             :  *
      18             :  * \f{align}
      19             :  *     \tilde A_{ij} &= \phi^2 \left(K_{ij} - \frac{1}{3} K \gamma_{ij}\right)
      20             :  * \f}
      21             :  *
      22             :  * where \f$\phi^2\f$ is the square of the conformal factor defined by
      23             :  * `Ccz4::Tags::ConformalFactorSquared`, \f$\gamma_{ij}\f$ is the spatial metric
      24             :  * defined by `gr::Tags::SpatialMetric`, \f$K_{ij}\f$ is the extrinsic curvature
      25             :  * defined by `gr::Tags::ExtrinsicCurvature`, and \f$K\f$ is the trace of the
      26             :  * extrinsic curvature defined by `gr::Tags::TraceExtrinsicCurvature`.
      27             :  */
      28             : template <typename DataType, size_t Dim, typename Frame>
      29           1 : void a_tilde(const gsl::not_null<tnsr::ii<DataType, Dim, Frame>*> result,
      30             :              const gsl::not_null<Scalar<DataType>*> buffer,
      31             :              const Scalar<DataType>& conformal_factor_squared,
      32             :              const tnsr::ii<DataType, Dim, Frame>& spatial_metric,
      33             :              const tnsr::ii<DataType, Dim, Frame>& extrinsic_curvature,
      34             :              const Scalar<DataType>& trace_extrinsic_curvature);
      35             : 
      36             : template <typename DataType, size_t Dim, typename Frame>
      37           1 : tnsr::ii<DataType, Dim, Frame> a_tilde(
      38             :     const Scalar<DataType>& conformal_factor_squared,
      39             :     const tnsr::ii<DataType, Dim, Frame>& spatial_metric,
      40             :     const tnsr::ii<DataType, Dim, Frame>& extrinsic_curvature,
      41             :     const Scalar<DataType>& trace_extrinsic_curvature);
      42             : /// @}
      43             : }  // namespace Ccz4

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