|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes | | Hendrik Ranocha
; Gregor J Gassner
; | | Date: |
28 Sep 2020 | | Abstract: | Recently, it was discovered that the entropy-conserving/dissipative
high-order split-form discontinuous Galerkin discretizations have robustness
issues when trying to solve the simple density wave propagation example for the
compressible Euler equations. The issue is related to missing local linear
stability, i.e. the stability of the discretization towards perturbations added
to a stable base flow. This is strongly related to an anti-diffusion mechanism,
that is inherent in entropy-conserving two-point fluxes, which are a key
ingredient for the high-order discontinuous Galerkin extension. In this paper,
we investigate if pressure equilibrium preservation is a remedy to these
recently found local linear stability issues of
entropy-conservative/dissipative high-order split-form discontinuous Galerkin
methods for the compressible Euler equations. Pressure equilibrium preservation
describes the property of a discretization to keep pressure and velocity
constant for pure density wave propagation. We present the full theoretical
derivation, analysis, and show corresponding numerical results to underline our
findings. The source code to reproduce all numerical experiments presented in
this article is available online (DOI: 10.5281/zenodo.4054366). | | Source: | arXiv, 2009.13139 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER