A discontinuous Galerkin method for viscous compressible multifluids
From MaRDI portal
Publication:2270069
DOI10.1016/j.jcp.2009.11.033zbMath1303.76088arXiv0905.2250OpenAlexW2013991279MaRDI QIDQ2270069
Publication date: 12 March 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.2250
numerical methodsmixingcompressible flowmultiphaseRunge-KuttaNavier-Stokesdiscontinuous Galerkinbarotropicmultifluidviscousmulticomponentacousticchemicalmiscible
PDEs in connection with fluid mechanics (35Q35) 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) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings, A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces, Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors, High-order positivity-preserving method in the flux reconstruction framework for the simulation of two-medium flow, Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations, A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows, Discontinuous Galerkin methods for plasma physics in the scrape-off layer of tokamaks, Quantum hydrodynamics with trajectories: the nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Incompressible rate-type fluids with pressure and shear-rate dependent material moduli
- On compressible Navier-Stokes equations with density dependent viscosities in bounded domains
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- First order quasilinear equations with boundary conditions in the \(L^{\infty}\) framework
- On a robust discontinuous Galerkin technique for the solution of compressible flow
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A nonreflecting outflow boundary condition for subsonic Navier-Stokes calculations
- A particle-fluid numerical model for liquid sprays
- Boundary conditions for direct simulations of compressible viscous flows
- Numerical calculation of multiphase fluid flow
- Improved boundary conditions for viscous, reacting, compressible flows.
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- On viscous shallow water equations (Saint-Venant model) and the quasi-geostrophic limit
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations.
- Pulsatile flow of a chemically-reacting nonlinear fluid
- Analysis of the discontinuous Galerkin method for nonlinear convection--diffusion problems
- Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations
- Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations
- First order quasilinear equations with boundary conditions
- On the Barotropic Compressible Navier–Stokes Equations
- EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS FOR A COMPRESSIBLE MULTIPHASE NAVIER–STOKES MISCIBLE FLUID-FLOW PROBLEM IN DIMENSION n = 1
- Convergence of Generalized MUSCL Schemes
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Initial boundary value problems for incompletely parabolic systems
- Incompletely Parabolic Problems in Fluid Dynamics
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- On the Convergence to Steady State of Solutions of Nonlinear Hyperbolic-Parabolic Systems
- On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow
- Recent Mathematical Results and Open Problems about Shallow Water Equations
- On steady flows of fluids with pressure– and shear–dependent viscosities
- Initial boundary value problems for hyperbolic systems
- Well-posed transparent boundary conditions for the shallow water equations
- Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas
