Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations
Abstract
Here, we present a fully discrete approximation technique for the compressible Navier–Stokes equations that is second-order accurate in time and space, semi-implicit, and guaranteed to be invariant domain preserving. The restriction on the time step is the standard hyperbolic CFL condition, i.e. where is some reference velocity scale and the typical meshsize.
- Authors:
-
[1];
- Texas A & M Univ., College Station, TX (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR); US Army Research Office (ARO)
- OSTI Identifier:
- 1769910
- Report Number(s):
- SAND-2021-2077J
Journal ID: ISSN 0045-7825; 693966
- Grant/Contract Number:
- AC04-94AL85000; DMS 1619892; DMS 1620058; DMS 1912847; FA9550-18-1-0397; W911NF-15-1-0517
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computer Methods in Applied Mechanics and Engineering
- Additional Journal Information:
- Journal Volume: 375; Journal ID: ISSN 0045-7825
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Conservation equations; Hyperbolic systems; Navier–Stokes equations; Euler equations; Invariant domains; High-order method; Convex limiting; Finite element method
Citation Formats
Guermond, Jean-Luc, Maier, Matthias, Popov, Bojan, and Tomas, Ignacio. Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations. United States: N. p., 2021.
Web. doi:10.1016/j.cma.2020.113608.
Guermond, Jean-Luc, Maier, Matthias, Popov, Bojan, & Tomas, Ignacio. Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations. United States. https://doi.org/10.1016/j.cma.2020.113608
Guermond, Jean-Luc, Maier, Matthias, Popov, Bojan, and Tomas, Ignacio. Mon .
"Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations". United States. https://doi.org/10.1016/j.cma.2020.113608. https://www.osti.gov/servlets/purl/1769910.
@article{osti_1769910,
title = {Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations},
author = {Guermond, Jean-Luc and Maier, Matthias and Popov, Bojan and Tomas, Ignacio},
abstractNote = {Here, we present a fully discrete approximation technique for the compressible Navier–Stokes equations that is second-order accurate in time and space, semi-implicit, and guaranteed to be invariant domain preserving. The restriction on the time step is the standard hyperbolic CFL condition, i.e. τ≲O(h)/V where V is some reference velocity scale and h the typical meshsize.},
doi = {10.1016/j.cma.2020.113608},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = ,
volume = 375,
place = {United States},
year = {Mon Mar 01 00:00:00 EST 2021},
month = {Mon Mar 01 00:00:00 EST 2021}
}
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