Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum
R\'emi Abgrall, Fatemeh Nassajian Mojarrad
TL;DR
This paper develops a flexible numerical scheme for the compressible Euler equations that conserves local angular momentum, compatible with other conservation laws, and can achieve arbitrary order accuracy.
Contribution
It introduces a general framework for constructing high-order schemes that preserve local angular momentum alongside other conservation laws.
Findings
Schemes can be of arbitrary order.
The framework ensures local angular momentum conservation.
Numerical results demonstrate the scheme's effectiveness.
Abstract
We are interested in building schemes for the compressible Euler equations that are also locally conserving the angular momentum. We present a general framework, describe a few examples of schemes and show results. These schemes can be of arbitrary order.
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Taxonomy
TopicsNavier-Stokes equation solutions · Computational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows