ON A GRID-CHARACTERISTIC SECOND ORDER SCHEME FOR SYSTEMS OF HYPERBOLIC EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS ON NON-FITTED MESHES

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Abstract

In this paper, a novel approach to increasing the accuracy of the grid-characteristic method in the area of a coefficient jump for cases of an non-fitted computational grid is presented.

About the authors

K. E. Shilnikov

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute); Moscow Institute of Physics and Technology, MIPT, Phystech

Moscow, Russia

N. I. Khokhlov

Moscow Institute of Physics and Technology, MIPT, Phystech; Scientific Research Institute for System Analysis of the National Research Centre “Kurchatov Institute”; Autonomous noncommercial organization of higher education "Innopolis University

Email: khokhlov.ni@mipt.ru
Moscow, Russia

I. B. Petrov

Moscow Institute of Physics and Technology, MIPT, Phystech

Corresponding member of the RAS Moscow, Russia

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