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Erschienen in:
28.06.2016
Highly scalable implementation of an implicit matrix-free solver for gas dynamics on GPU-accelerated clusters
Erschienen in: The Journal of Supercomputing | Ausgabe 2/2017
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Abstract
A numerical approach for solving gas dynamics on Cartesian grids is considered which employs an implicit time marching scheme with the matrix-free Lower-Upper Symmetric Gauss–Seidel (LU-SGS) method for solving discrete equations. Boundary conditions are treated with an embedded-boundary method. The method has two attractive features—(1) algorithmic uniformity of calculations and (2) structured memory accesses that well fit massively parallel architectures with GPU accelerators. We propose a novel CUDA+MPI computational algorithm scalable up to hundreds of GPUs and give in-depth analysis of its implementation (interoperability issues, libraries tuning).