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Efficient Parallel Solvers for the FireStar3D Wildfire Numerical Simulation Model

Oleg Bessonov Sofiane Meradji 1
1 IMATH - Institut de Mathématiques de Toulon - EA 2134
Abstract : This paper presents efficient parallel methods for solving ill-conditioned linear systems arising in fluid dynamics problems. The first method is based on the Modified LU decomposition, applied as a preconditioner to the Conjugate gradient algorithm. Parallelization of this method is based on the use of nested twisted factorization. Another method is based on a highly parallel Algebraic multigrid algorithm with a new smoother developed for anisotropic grids. Performance comparisons demonstrate superiority of new methods over commonly used variants of the Conjugate gradient method.
Keywords : ill-conditioned linear systems Conjugate gradient preconditioners multigrid smoothers parallelization
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https://hal-univ-tln.archives-ouvertes.fr/hal-02957460
Contributor : Sofiane Meradji <>
Submitted on : Monday, October 5, 2020 - 11:01:18 AM
Last modification on : Tuesday, October 6, 2020 - 3:12:11 AM

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Oleg Bessonov, Sofiane Meradji. Efficient Parallel Solvers for the FireStar3D Wildfire Numerical Simulation Model. Malyshkin V. (eds) Parallel Computing Technologies. PaCT 2019. Lecture Notes in Computer Science, vol 11657. Springer, Cham, pp.140-150, 2019, 978-3-030-25635-7. ⟨10.1007/978-3-030-25636-4_11⟩. ⟨hal-02957460⟩

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