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Wave propagation and reflection in irregular grids for hyperbolic equations. (English) Zbl 0625.65118

The results of numerical experiments with the numerical solution of several equations of mathematical physics having wave like solutions are discussed. The numerical methods use irregular (nonuniform) grids. The one-dimensional case is considered. Numerical results show that some irregular grids can be used to simulate some important physical phenomena (like wave packet propagation, asymptotic distribution of energy, wave reflection etc.). Some practical hints are given. The paper discusses the qualitative aspects of the solution only; neither the estimations of the error of the solution nor the programs are given. The paper gives the outputs of numerical experiments in graphical form.
Reviewer: J.Král

MSC:

65Z05 Applications to the sciences
35L15 Initial value problems for second-order hyperbolic equations
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76N15 Gas dynamics (general theory)
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