We investigate oneand multi-dimensional stability of noncharacteristic boundary layers in the limit approaching a standing planar shock wave Ū(x1), x1 > 0, obtaining necessary conditions of (i) weak stability of the limiting shock, (ii) weak stability of the constant layer u ≡ U− := limz→−∞ Ū(z), and (iii) nonnegativity of a modified Lopatinski determinant similar to that of the inviscid shock ...

In this paper, the Lax-Wendroff difference scheme has been presented for solving one-dimensional wave equation with integral boundary conditions. First, given solution domain is discretized and derivative involving spatial variable replaced by central finite approximation of functional values at each grid point using Taylor series expansion. Then, resulting second-order linear ordinary differen...

Abstract A number of physical processes in laser-plasma interaction can be described with the two-fluid plasma model. We report on a solver for three-dimensional model equations. This is particularly suited simulating between short laser pulses plasmas. The fluid relies two-step Lax–Wendroff split fourth-order Runge–Kutta scheme, and we use Pseudo-Spectral Analytical Time-Domain (PSATD) method ...

this paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. the method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions.the construction of the nonstandard method is based on the special treatment of the interface using suitable jump condition...

Abstract We perform a comparative accuracy study of the Rusanov, CABARETM, and WENO5 difference schemes used to compute dam break problem for shallow water theory equations. demonstrate that all three have first order convergence inside region occupied by centered rarefaction wave, Rusanov scheme has second in area constant flow between shock while CABARETM there is no local this area. This due...

An explicit algorithm that yields finite difference schemes of any desired order of accuracy for solving quasi-linear hyperbolic systems of partial differential equations in several space dimensions is presented. These schemes are shown to be stable under certain conditions. The stability conditions in the one-dimensional case are derived for any order of accuracy. Analytic stability proofs for...

The effects of using both directions and directional subdividing on adaptive gridembedding on the computational time and the number of grid points required for the same accuracy are considered. Directional subdividing is used from the beginning of the adaptation procedure without any restriction. To avoid the complication of unstructured grid, the semi-structured grid was used. It is used to so...