Runge-Kutta discontinuous Galerkin method for Baer-Nunziato model with `simple WENO' limiting of conservative variables
type: Item
instance of: scholarly article
title: Runge-Kutta discontinuous Galerkin method for Baer-Nunziato model with `simple WENO' limiting of conservative variables
zbMATH Open document ID: 1469.65145
author: Mikhail Alekseev
author: Evgeny Savenkov
published in: Russian Journal of Numerical Analysis and Mathematical Modelling
publication date: 2021-06-03T00:00:00Z
review text: This article discusses some applications to Runge-Kutta discontinuous Galerkin method for solving Baer-Nunziato hyperbolic model for nonequilibrium two-phase flows. The approach relies on the application of the simple WENO limiter directly to the conservative variables. Numerical experiments are also included.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 76N99
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7354772
zbMATH Keywords: Baer-Nunziato model
zbMATH Keywords: Runge-Kutta discontinuous Galerkin method
zbMATH Keywords: simple WENO limiter
zbMATH Keywords: multiphase flows
zbMATH Keywords: conservation law
zbMATH Keywords: hyperbolic PDE with non-conservative products
describes a project that uses: HLLC
MaRDI profile type: Publication
full work available at URL: rnam-2021-0006
OpenAlex ID: W3154073260
cites work: The Riemann problem for the Baer-Nunziato two-phase flow model
cites work: A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
cites work: Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows
cites work: Exact and approximate solutions of Riemann problems in nonlinear elasticity
cites work: Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
cites work: The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
cites work: Definition and weak stability of nonconservative products
cites work: A finite-volume method for compressible non-equilibrium two-phase flows in networks of elastic pipelines using the Baer-Nunziato model
cites work: \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
cites work: High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems
cites work: A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
cites work: Solid-fluid diffuse interface model in cases of extreme deformations
cites work: Runge-Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models
cites work: A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces
cites work: Upwind methods for the Baer-Nunziato equations and higher-order reconstruction using artificial viscosity
cites work: Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
cites work: Limiters for high-order discontinuous Galerkin methods
cites work: Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
cites work: A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings
cites work: A five equation reduced model for compressible two-phase flow problems
cites work: Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
cites work: Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
cites work: A Simple Method for Compressible Multifluid Flows
cites work: HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
cites work: Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter
DOI: 10.1515/RNAM-2021-0006
description: scientific article; zbMATH DE number 7354772