Abstract
A numerical method of particles based on approximation of the system of gas dynamics equations in a form of nonlinear wave equations (NWE) of the second order in time and space variables is formulated. Based on the NWE, it is possible to construct the finite-difference and finite-element schemes with balance cells both as finite volumes and as Lagrange particles. The study of the method of particles and the numerical computation are performed for two-dimensional problems of gas dynamics in Lagrange variables on triangular grids.
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