A posteriori limiting for 2D Lagrange plus Remap schemes solving the hydrodynamics system of equations

In this article we show the gain in accuracy and robustness brought by the use of a 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.