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...

Conservative numerical methods for advanced model kinetic equations

Model kinetic equations are often used to describe rarefied gas flows in the broad range of flow regimes. Accurate model kinetic equations were proposed by Shakhov [1] for monatomic gases and by Rykov [2] for diatomic gases. The main advantage of these model equations over other models reported in the literature is that the model collision...