On the Importance of High-Frequency Damping in High-Order Conservative Finite-Difference Schemes for Viscous Fluxes
| Autor: | Amareshwara Sainadh Chamarthi, Sean Bokor, Steven H. Frankel |
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| Rok vydání: | 2022 |
| Předmět: |
Physics::Fluid Dynamics
Computational Mathematics Numerical Analysis Physics and Astronomy (miscellaneous) Applied Mathematics Modeling and Simulation FOS: Mathematics FOS: Physical sciences Mathematics - Numerical Analysis Numerical Analysis (math.NA) Computational Physics (physics.comp-ph) Physics - Computational Physics Computer Science Applications |
| Zdroj: | Journal of Computational Physics |
| DOI: | 10.48550/arxiv.2204.00393 |
| Popis: | This paper discusses the importance of high-frequency damping in high-order conservative finite-difference schemes for viscous terms in the Navier-Stokes equations. Investigating nonlinear instability encountered in a high-resolution viscous shock-tube simulation, we have discovered that a modification to the viscous scheme rather than the inviscid scheme resolves a problem with spurious oscillations around shocks. The modification introduces a term responsible for high-frequency damping that is missing in a conservative high-order viscous scheme. The importance of damping has been known for schemes designed for unstructured grids. However, it has not been recognized well in very high-order difference schemes, especially in conservative difference schemes. Here, we discuss how it is easily missed in a conservative scheme and how to improve such schemes by a suitably designed damping term. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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