A MOOD-MUSCL hybrid formulation for the non-conservative shallow-water system
The stability of the high-order finite volume method for hyperbolic systems is based on the use of non-linear procedures that prevent the presence of the so-called non-physical oscillations. Standard techniques use the a priori approach where the procedure is carried out with the current time step solution. The a posteriori approach lies on an advanced in time candidate solution and a posterior evaluation of its stability. The authors first present a comparison between these two approaches applied to non-conservative shallow-water equations together in the framework of second-order linear reconstruction. Such comparison led the author to propose a new hybrid version combining the most positive aspects of both methods.
scientific article; zbMATH DE number 7359307
scientific article