We deal with the numerical simulation of a flow of solid-liquid-gas slurries with the virtual mass effect. The governing systmn of equations is strongly nonlinear hyperbolic with nonconservative terms. We propose a numerical scheme which belongs to the class of finite volume methods. In order to increase the order of convergence we apply a higher order reconstruction technique. Several numerical examples demonstrating the efficiency of the schemes are presented. and Obsahuje seznam literatury
We deal with the numerical simulation of a motion of viscous compressible fluids. We discretize the governing Navier-Stokes equations by the backward difference formula - discontinuous Galerkin finite element (BDF-DGFE) method, which exhibits a sufficiently stable, efficient and accurate numerical scheme. The BDF-DGFE method requires a solution of one linear algebra system at each time step. In this paper, we deal with these linear algebra systems with the aid of an iterative solver. We discuss the choice of the preconditioner, stopping criterion and the choice of the time step and propose a new strategy which leads to an efficient and accurate numerical scheme.