Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations Academic Article

abstract

• 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, ie $ au lesssim mathcal{O}(h)/V$ where $V$ is some reference velocity scale and $h$ the typical meshsize.

authors

• Maier, Matthias Sebastian
• Popov, Bojan

published proceedings

• COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

altmetric score

• 0.25

author list (cited authors)

• Guermond, J., Maier, M., Popav, B., & Tomas, I.

citation count

• 19

complete list of authors

• Guermond, Jean-Luc||Maier, Matthias||Popav, Bojan||Tomas, Ignacio

publication date

• March 2021

publisher

• Elsevier  Publisher

published in

• Computer Methods in Applied Mechanics and Engineering  Journal

keywords

• Conservation Equations
• Convex Limiting
• Euler Equations
• Finite Element Method
• High-order Method
• Hyperbolic Systems
• Invariant Domains
• Navier-stokes Equations

Digital Object Identifier (DOI)

• 10.1016/j.cma.2020.113608

start page

• 113608

end page

• 113608

volume

• 375

URL

• http://dx.doi.org/10.1016/j.cma.2020.113608