Development and application of generalized MUSTA schemes

Numerical methods for solving non-linear systems of hyperbolic conservation laws via finite volume methods or discontinuous Galerkin finite element methods require, as the building block, a monotone numerical flux. The simplest approach for providing a monotone numerical utilizes a symmetric stencil and does not explicitly make use of wave...

High-resolution combined compact schemes for hyperbolic conservation laws

We develop the conservative upwind combined compact difference scheme. Using this scheme we propose a conservative hybrid combined compact-WENO scheme to obtain the high accurate solution of hyperbolic conservation laws. The conservative upwind combined compact difference scheme is coupled on to a WENO scheme in the hybrid scheme. This hybrid...