A. Tételin, C. Le Touze, P. Villedieu
In finite volume schemes with MUSCL interpolation of scalar variables at the faces of control volumes, a slope limiting function is used in order to prevent non-physical oscillations of the solution. More particularly, these functions are designed to ensure a certain monotonicity criterion at each face of the control volume, criterion which then ensures a stability property of the scheme. For vectorial variables, these slope limiting functions are generally applied componentwise, but this may result in a frame-dependance, as well as a loss of accuracy due to false detection of extrema. In this paper, a new vectorial interpolation method is introduced, which is frame-invariant, second-order accurate and stable in a sense that will be defined.
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Published on 24/11/22Accepted on 24/11/22Submitted on 24/11/22
Volume Science Computing, 2022DOI: 10.23967/eccomas.2022.290Licence: CC BY-NC-SA license
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