SNESMS#
multi-stage smoothers
Options Database Keys#
-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#
- Jam83
Antony Jameson. Solution of the euler equations for two dimensional transonic flow by a multigrid method. Applied mathematics and computation, 13(3-4):327–355, 1983.
- Ket10
David I Ketcheson. Runge–Kutta methods with minimum storage implementations. Journal of Computational Physics, 229(5):1763–1773, 2010.
- PG97
Niles A Pierce and Michael B Giles. Preconditioned multigrid methods for compressible flow calculations on stretched meshes. Journal of Computational Physics, 136(2):425–445, 1997.
- VLTP81
Bram Van Leer, Chang-Hsien Tai, and Kenneth Powell. Design of optimally smoothing multi-stage schemes for the Euler equations. In 9th Computational Fluid Dynamics Conference, 1933. 1981.
See Also#
SNES: Nonlinear Solvers, SNESCreate(), SNES, SNESSetType(), SNESMS, SNESFAS, KSPCHEBYSHEV, SNESMSSetDamping(), SNESMSGetDamping(),
SNESMSSetType(), SNESMSGetType()
Level#
advanced
Location#
Index of all SNES routines
Table of Contents for all manual pages
Index of all manual pages