Ccz4::fd::SoTimeDerivative Struct Reference

Compute the RHS of the second-order CCZ4 formulation of Einstein's equations [67] with finite differencing. Also update the time derivative at outermost interior points in a sphere domain if Sommerfeld boundary conditions are applied. More...

#include <SoTimeDerivative.hpp>

Static Public Member Functions
template<typename DbTagsList >
static void	apply (const gsl::not_null< db::DataBox< DbTagsList > * > box)

Detailed Description

Compute the RHS of the second-order CCZ4 formulation of Einstein's equations [67] with finite differencing. Also update the time derivative at outermost interior points in a sphere domain if Sommerfeld boundary conditions are applied.

Details

The evolution equations are equations 4(a) - 4(i) of [67] Equations 13 - 27 define identities used in the evolution equations.

Note

Different from the first-order system, the lapse and the conformal factor are evolved instead of their natural logs. The four auxiliary varialbels \(A_i\), \(B_k{}^{i}\), \(D_{kij}\), and \(P_i\) are NOT evolved.

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The documentation for this struct was generated from the following file:

• src/Evolution/Systems/Ccz4/FiniteDifference/SoTimeDerivative.hpp