EulerJacobian.hpp File Reference

Jacobian storage and factorization structures for implicit time stepping. More...

#include "DNDS/Defines.hpp"
#include "Euler.hpp"
#include "DNDS/ArrayDerived/ArrayEigenUniMatrixBatch.hpp"
#include "Solver/Direct.hpp"

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Classes
class	DNDS::Euler::JacobianDiagBlock< nVarsFixed >
	Per-cell diagonal or block-diagonal Jacobian storage for implicit time stepping. More...
struct	DNDS::Euler::JacobianLocalLU< nVarsFixed >
	Complete LU factorization of the cell-local Jacobian for GMRES preconditioning. More...
struct	DNDS::Euler::JacobianLocalLDLT< nVarsFixed >
	Symmetric LDLT factorization of the cell-local Jacobian. More...

Namespaces
namespace	DNDS
	the host side operators are provided as implemented
namespace	DNDS::Euler

Detailed Description

Jacobian storage and factorization structures for implicit time stepping.

Provides block-diagonal and sparse-local Jacobian data structures used in the implicit solver (e.g. backward-Euler, LUSGS, GMRES with ILU/LDLT preconditioning):

• JacobianDiagBlock: per-cell diagonal or block-diagonal Jacobian with forward multiply and inverse operations.
• JacobianLocalLU: full LU factorization of the cell-local Jacobian using the mesh adjacency structure (SerialSymLUStructure).
• JacobianLocalLDLT: symmetric LDLT factorization variant (lower + diagonal only).

All classes are templated on nVarsFixed for compile-time Eigen sizing.

Definition in file EulerJacobian.hpp.