Using a combination of Godunov and Rusanov solvers based on the piecewise parabolic reconstruction of primitive variables for numerical simulation of supernovae Ia type explosion (Q2095847)

A low-dissipation modification of Godunov's method has been described, verified, and investigated. This method is based on a multidimensional piecewise-parabolic representation of numerical solutions on a local stencil. In order to verify the method, classical hydrodynamic tests and a model problem of multi-ignition of a thermonuclear supernova explosion are used. The order of accuracy of the numerical method was studied for infinitely differentiable solutions. The efficiency of a parallel implementation of the numerical method is also investigated.