Numerical simulation of the long-wave runup on a coast

L. B. Chubarov 1  and Z. I. Fedotova 1
  • 1 Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia

In this paper, we describe the finite difference method of solving the problem of long-wave runup on a coast by shallow water equations. We justify the method and also give the estimate of its accuracy, which is obtained in the numerical experiments for a model nonlinear problem that has an analytical solution. We consider the method application to the solution of problems with complex geometry.

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The journal provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, select papers on the basis of their high scientific standard, innovative approach and topical interest.