论文标题

平行动力学方案,用于保护法,并有较大的时间步骤

Parallel kinetic schemes for conservation laws, with large time steps

论文作者

Gerhard, Pierre, Helluy, Philippe, Michel-Dansac, Victor, Weber, Bruno

论文摘要

我们提出了一种新的平行不连续的盖尔金方法,用于近似保护法的近似。该方法在较大的时间步骤中保持稳定,同时保持显式方案的复杂性:它不需要在时间迭代时组装和分辨率。该方法基于作者先前研究的保护法制度的动力学表示。在本文中,该方法通过子域策略扩展,该策略可以改善具有分布式内存的计算机上方法的并行缩放。

We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not require the assembly and resolution of large linear systems for the time iterations. The approach is based on a kinetic representation of the system of conservation laws previously investigated by the authors. In this paper, the approach is extended with a subdomain strategy that improves the parallel scaling of the method on computers with distributed memory.

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