Application of WENO-Schemes for Modelling Shock-Wave Processes

This paper analyzes weighted essentially non-oscillatory (WENO)-schemes for the solution of one-dimensional Euler equations with a Mie−Grüneisen type of equation of state. The least dissipative and oscillatory modifications of WENO-schemes in characteristic variables with a monotonicity-preserving (...

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Bibliographic Details
Published in:	Mathematical models and computer simulations Vol. 16; no. 4; pp. 536 - 547
Main Authors:	Belolutskiy, F. A., Shepelev, V. V., Fortova, S. V.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 2024 Springer Nature B.V
Subjects:	Equations of state Essentially non-oscillatory schemes Euler-Lagrange equation Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Shock waves Simulation and Modeling shock waves in metals computational fluid dynamics equations of state WENO
Online Access:	Get full text
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Summary:	This paper analyzes weighted essentially non-oscillatory (WENO)-schemes for the solution of one-dimensional Euler equations with a Mie−Grüneisen type of equation of state. The least dissipative and oscillatory modifications of WENO-schemes in characteristic variables with a monotonicity-preserving (MP) limiter are presented. A modified scheme, MP-WENO-SM, is developed, demonstrating the smallest amplitude of oscillations in the solution of the test problems with discontinuous initial data.
ISSN:	2070-0482 2070-0490
DOI:	10.1134/S2070048224700200