petsc-3.14.6 2021-03-30

SNESMS

multi-stage smoothers

Options Database

	-snes_ms_type	- type of multi-stage smoother
	-snes_ms_damping	- damping for multi-stage method

Notes

These multistage methods are explicit Runge-Kutta methods that are often used as smoothers for FAS multigrid for transport problems. In the linear case, these are equivalent to polynomial smoothers (such as Chebyshev).

Multi-stage smoothers should usually be preconditioned by point-block Jacobi to ensure proper scaling and to normalize the wave speeds.

The methods are specified in low storage form (Ketcheson 2010). New methods can be registered with SNESMSRegister().

References

	1.	- Ketcheson (2010) Runge Kutta methods with minimum storage implementations (https://doi.org/10.1016/j.jcp.2009.11.006).
	2.	- Jameson (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method (https://doi.org/10.1016/0096-3003(83)90019-X).
	3.	- Pierce and Giles (1997) Preconditioned multigrid methods for compressible flow calculations on stretched meshes (https://doi.org/10.1006/jcph.1997.5772).
	4.	- Van Leer, Tai, and Powell (1989) Design of optimally smoothing multi-stage schemes for the Euler equations (https://doi.org/10.2514/6.1989-1933).

Level

beginner

Location