A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows

DOI10.1137/21M1444497zbMath1496.65159OpenAlexW4293692337WikidataQ113779019 ScholiaQ113779019MaRDI QIDQ5101010

Jian Cheng, Fan Zhang

Publication date: 2 September 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1444497

zbMATH Keywords

discontinuous Galerkin methodpositivity-preservinghigh-order methodbound-preservingcompressible two-medium flows

Mathematics Subject Classification ID

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) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (5)

A bound-preserving and positivity-preserving finite volume WENO scheme for solving five-equation model of two-medium flows ⋮ Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila's five-equation model ⋮ A physical-constraint-preserving discontinuous Galerkin method for weakly compressible two-phase flows ⋮ On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics ⋮ A bound-preserving and positivity-preserving high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible multi-medium flows

Uses Software

• HE-E1GODF

Cites Work

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