Effective solving of three-dimensional gas dynamics problems with the Runge-Kutta discontinuous Galerkin method

DOI10.1134/S0965542516030118zbMath1382.76171MaRDI QIDQ2630042

B. A. Korneev, V. D. Levchenko

Publication date: 8 July 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Euler equationsgas dynamicshigh-performance computingbubble-shock interactionRKDG methodlrnla algorithms

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Uses Software

• HE-E1GODF

Cites Work

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• RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation
• Эффективное решение трехмерных задач газовой динамики Рунге–Кутты разрывным методом Галеркина
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Total variation diminishing Runge-Kutta schemes
• A computational parameter study for the three-dimensional shock–bubble interaction

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