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

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.

published proceedings

  • Computer Methods in Applied Mechanics and Engineering

altmetric score

  • 0.25

author list (cited authors)

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

citation count

  • 2

complete list of authors

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

publication date

  • March 2021