Setochno-kharakteristicheskiy metod povyshennogo poryadka dlya sistem giperbolicheskikh uravneniy s kusochno-postoyannymi koeffitsientami

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详细

A new approach is considered for increasing the order of accuracy of the grid-characteristic method in the region of coefficient jumps. The approach is based on piecewise polynomial interpolation for schemes of the second and third orders of accuracy for the case where the interface between the media is consistent with a finite-difference grid. The method is intended for numerical simulation of the propagation of dynamic wave disturbances in heterogeneous media. Systems of hyperbolic equations with variable coefficients are used to describe the considered physical processes. The description of the numerical method and the results of its testing are given.

作者简介

N. Khokhlov

Moscow Institute of Physics and Technology

Email: khokhlov.ni@mipt.ru
Dolgoprudnyi, Moscow oblast, 141700, Russia

I. Petrov

Moscow Institute of Physics and Technology

编辑信件的主要联系方式.
Email: petrov@mipt.ru
Dolgoprudnyi, Moscow oblast, 141700, Russia

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