A posteriori limiting for 2D Lagrange plus remap schemes solving the hydrodynamics system of equations. (English) Zbl 1410.76208
Summary: In this article, we show the gain in accuracy and robustness brought by the use of an a posteriori MOOD limiting in replacement of the classical slope limiter employed in the remap phase of a legacy second-order Lagrange+Remap scheme solving the Euler system of equations. This simple substitution ensures extended robustness property, better accuracy and ability to capture physical phenomena. Numerical tests in 2D assess those improvements and the relative low cost of this a posteriori approach by reporting the number of troubled cells which demand re-computation. Situations like the occurrence of not-a-number, negative density and spurious numerical oscillations can therefore be cured.
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
remapping; polynomial reconstruction; a posteriori limiting; high accuracy; robustness; Lagrange plus remap; slope limitingReferences:
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