Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
The improvement of existing limiters in MUSCL-type numerical methods for the numerical solution of two-dimensional hyperbolic conservation laws is the central theme of the present paper. The framework of MUSCL-type schemes on triangular grids is exploited. Local constraints on the linear reconstruction of the solution are imposed so that an appropriate maximum principle is satisfied. This opens way to the development of new MUSCL-type schemes. Numerical results are given for a scalar problem as well as for the shallow water equation.
scientific article; zbMATH DE number 1384970
scientific article