On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations

作     者：Guermond, Jean-Luc Kronbichler, Martin Maier, Matthias Popov, Bojan Tomas, Ignacio 

作者机构：Department of Mathematics Texas A&M University 3368 College StationTX77843 United States Institute for Computational Mechanics Department for Mechanical Engineering Technical University of Munich Germany Division of Scientific Computing Department of Information Technology Uppsala University Sweden Sandia National Laboratories P.O. Box 5800 MS 1320 AlbuquerqueNM87185-1320 United States 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2021年

核心收录：

主　　题：Finite element method 

摘      要：This paper describes in detail the implementation of a finite element technique for solving the compressible Navier-Stokes equations that is provably robust and demonstrates excellent performance on modern computer hardware. The method is second-order accurate in time and space. Robustness here means that the method is proved to be invariant domain preserving under the hyperbolic CFL time step restriction, and the method delivers results that are reproducible. The proposed technique is shown to be accurate on challenging 2D and 3D realistic *** Codes 35L65, 65M60, 65M12, 65N30 Copyright © 2021, The Authors. All rights reserved.