An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
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Publication:2128389
DOI10.1016/j.jcp.2021.110135OpenAlexW3021355649MaRDI QIDQ2128389
Florent Renac, Frédéric Coquel, Pratik Rai, Claude Marmignon
Publication date: 21 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.14422
discontinuous Galerkin methodsummation-by-partsBaer-Nunziato modelcompressible two-phase flowsentropy stable scheme
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
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Uses Software
Cites Work
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios
- Runge-Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- The Riemann problem for the Baer-Nunziato two-phase flow model
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- A conservative interface method for compressible flows
- Implementation of WENO schemes in compressible multicomponent flow problems
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- A comment on the computation of non-conservative products
- HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
- A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
- ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A multiphase Godunov method for compressible multifluid and multiphase flows
- Closure laws for a two-fluid two-pressure model
- Upwind methods for the Baer-Nunziato equations and higher-order reconstruction using artificial viscosity
- A new comment on the computation of non-conservative products using Roe-type path conservative schemes
- An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
- A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes
- How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
- Definition and weak stability of nonconservative products
- On positivity preserving finite volume schemes for Euler equations
- Kinetic energy and entropy preserving schemes for compressible flows by split convective forms
- High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows
- Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
- A Godunov-type method for the seven-equation model of compressible two-phase flow
- Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
- Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method
- Strong Stability-Preserving High-Order Time Discretization Methods
- Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Well-Balanced Schemes and Path-Conservative Numerical Methods
- A high-resolution scheme for compressible multicomponent flows with shock waves
- Why many theories of shock waves are necessary: kinetic relations for non-conservative systems
- Impact of volume viscosity on a shock–hydrogen-bubble interaction
- Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- On the dynamics of a shock–bubble interaction
- A multiphase model with internal degrees of freedom: application to shock–bubble interaction
- Entropy-stable space–time DG schemes for non-conservative hyperbolic systems
- Numerical methods with controlled dissipation for small-scale dependent shocks
- Central Schemes for Nonconservative Hyperbolic Systems
- A kinetic energy preserving nodal discontinuous Galerkin spectral element method
- NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- Systems of conservation laws
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