Stabilizing the Maximal Entropy Moment Method for Rarefied Gas Dynamics at Single-Precision

arXiv:2303.02898v3 Announce Type: replace-cross
Abstract: The maximal entropy moment method (MEM) is systematic solution of the challenging problem: generating extended hydrodynamic equations valid for both dense and rarefied gases. However, simulating MEM suffers from a computational expensive and ill-conditioned maximal entropy problem. It causes numerical overflow and breakdown when the numerical precision is insufficient, especially for flows like high-speed shock waves. It also prevents modern GPUs from accelerating MEM with their enormous single floating-point precision computation power. This paper aims …

abstract arxiv breakdown computational cs.lg dynamics entropy numerical overflow physics.flu-dyn precision solution type