Numerical solution of the Baer-Nunziato relaxation model using the discontinuous Galerkin method

DOI10.1134/S0012266121070119zbMath1496.65170OpenAlexW3196142569WikidataQ115249830 ScholiaQ115249830MaRDI QIDQ2047657

R. R. Tukhvatullina, E. B. Savenkov, M. V. Alekseev

Publication date: 23 August 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121070119

zbMATH Keywords

Jacobi matricesRunge-Kutta methodNewton methodBaer-Nunziato equations, discontinuous Galerkin method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Numerical methods for stiff equations (65L04) First-order hyperbolic equations (35L02)

Uses Software

• HLLC

Cites Work

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