@inproceedings{493a707cc42c4621af43ca58e3b56028,
title = "Parallel domain-decomposition preconditioning for computational fluid dynamics",
abstract = "Algebraic preconditioning algorithms suitable for computational fluid dynamics (CFD) based on overlapping and non-overlapping domain decomposition (DD) are considered. Specific distinction is given to techniques well-suited for time-dependent and steady-state computations of fluid flow. For time-dependent flow calculations, the overlapping Schwarz algorithm suggested by Wu et al. [28] together with stabilised (upwind) spatial discretisation shows acceptable scalability and parallel performance without requiring a coarse space correction. For steady-state flow computations, a family of non-overlapping Schur complement DD techniques are developed. In the Schur complement DD technique, the triangulation is first partitioned into a number of non-overlapping subdomains and interfaces. The permutation of the mesh vertices based on subdomains and interfaces induces a natural 2 × 2 block partitioning of the discretisation matrix. Exact LU factorisation of this block system introduces a Schur complement matrix which couples subdomains and the interface together. A family of simplifying techniques for constructing the Schur complement and applying the 2 × 2 block system as a DD preconditioner are developed. Sample fluid flow calculations are presented to demonstrate performance characteristics of the simplified preconditioners.",
author = "Barth, {Timothy J.} and Chan, {Tony F.} and Tang, {Wei Pai}",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1999.; 3rd International Meeting on Vector and Parallel Processing, VECPAR 1998 ; Conference date: 21-06-1998 Through 23-06-1998",
year = "1999",
doi = "10.1007/10703040_15",
language = "English (US)",
isbn = "3540662286",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "176--202",
editor = "Dongarra, {Jack J.} and Palma, {Jos{\'e} M.L.M.} and Dongarra, {Jack J.} and Vicente Hern{\'a}ndez",
booktitle = "Vector and Parallel Processing – VECPAR 1998 - 3rd International Conference, Selected Papers and Invited Talks",
address = "Germany",
}