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Paper: A Simple and Robust Adaptive Time-Stepping Method for Implicit Scheme in Adaptive Mesh-Refinement Codes
Volume: 498, Numerical Modeling of Space Plasma Flows ASTRONUM-2014
Page: 197
Authors: Commerçon, B.; Debout, V.; Teyssier, R.
Abstract: Implicit solvers present strong limitations when used on supercomputing facilities and in particular for adaptive mesh-refinement codes. We present a new method for implicit adaptive time-stepping on adaptive mesh-refinement grids, which we implement it in the RAMSES code.The method is tested against classical diffusion problems and we show that using Dirichlet boundary conditions at level interfaces is a good compromise between robustness and accuracy. This simple but robust method can be applied to a wide variety of physical problems that involve diffusion processes.
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