A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows
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Publication:2222976
DOI10.1016/j.jcp.2019.109059zbMath1453.76063OpenAlexW2982410956MaRDI QIDQ2222976
Tiegang Liu, Jian Cheng, Fan Zhang
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109059
discontinuous Galerkin methodhigh-order methods\( \gamma \)-based modeltwo-medium compressible flows
Shock waves and blast waves in fluid mechanics (76L05) 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) Liquid-gas two-phase flows, bubbly flows (76T10) Two gas multicomponent flows (76T17)
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Cites Work
- Unnamed Item
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- Positivity-preserving Lagrangian scheme for multi-material compressible flow
- Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces
- On the treatment of contact discontinuities using WENO schemes
- Runge-Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models
- A front-tracking method with projected interface conditions for compressible multi-fluid flows
- A generalized approach for sub- and super-critical flows using the local discontinuous Galerkin method
- A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
- A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
- Accuracies and conservation errors of various ghost fluid methods for multi-medium Riemann problem
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
- RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations
- A five equation reduced model for compressible two-phase flow problems
- A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
- Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods
- Finite-volume WENO scheme for viscous compressible multicomponent flows
- Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)
- On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow
- Implementation of WENO schemes in compressible multicomponent flow problems
- Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: one-dimensional case
- High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
- A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods
- A comment on the computation of non-conservative products
- Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
- A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A multiphase Godunov method for compressible multifluid and multiphase flows
- An efficient shock-capturing algorithm for compressible multicomponent problems
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Ghost fluid method for strong shock impacting on material interface.
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- Simple and robust HLLC extensions of two-fluid AUSM for multiphase flow computations
- Runge-Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow
- Numerical simulations of compressible multicomponent and multiphase flow using a high-order targeted ENO (TENO) finite-volume method
- Explicit interface treatments for compressible gas-liquid simulations
- A Lagrangian discontinuous Galerkin hydrodynamic method
- Characteristic-based and interface-sharpening algorithm for high-order simulations of immiscible compressible multi-material flows
- The ghost fluid method for compressible gas-water simulation
- A five-equation model for the simulation of interfaces between compressible fluids
- How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
- Definition and weak stability of nonconservative products
- A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state
- Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods
- A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids
- A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme
- A discontinuous Galerkin method for viscous compressible multifluids
- Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- A robust and accurate approach to computing compressible multiphase flow: Stratified flow model and AUSM\(^+\)-up scheme
- A robust and efficient finite volume method for compressible inviscid and viscous two-phase flows
- High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces
- Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
- Limiters for high-order discontinuous Galerkin methods
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- Adaptive characteristics-based matching for compressible multifluid dynamics
- A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
- An interface capturing method for the simulation of multi-phase compressible flows
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
- A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Local Discontinuous Galerkin Methods for the Stokes System
- A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- A Simple Method for Compressible Multifluid Flows
- Practical Techniques in Ghost Fluid Method for Compressible Multi-Medium Flows
- A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- The simulation of compressible multi-medium flow. I: A new methodology with test applications to 1D gas-gas and gas-water cases. II: Applications to 2D underwater shock refraction
- Computations of compressible multifluids.
- A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Grüneisen equation of state
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