A direct Eulerian GRP scheme for compressible fluid flows
From MaRDI portal
Publication:853166
DOI10.1016/j.jcp.2006.01.044zbMath1158.76375OpenAlexW2034926075MaRDI QIDQ853166
Gerald Warnecke, Matania Ben-Artzi, Jiequan Li
Publication date: 15 November 2006
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.01.044
Riemann invariantscharacteristic coordinatesthe Eulerian versionthe generalized Riemann problem scheme
PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items
Two-stage fourth-order gas-kinetic scheme for three-dimensional Euler and Navier-Stokes solutions, Essentially non-oscillatory and weighted essentially non-oscillatory schemes, A random choice method based on the generalized Riemann problem for the Euler equations in gas dynamics, Implementation of the GRP scheme for computing radially symmetric compressible fluid flows, A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis, An Energy-Splitting High-Order Numerical Method for Multi-material Flows, Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem, One-sided GRP solver and numerical boundary conditions for compressible fluid flows, Arbitrary high order discontinuous Galerkin schemes based on the GRP method for compressible Euler equations, High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids, An adaptive GRP scheme for compressible fluid flows, Multi-dimensional finite volume scheme for the vorticity transport equations, ADER-WENO finite volume schemes with space-time adaptive mesh refinement, Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions, The generalized Riemann problems for compressible fluid flows: towards high order, A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics, Lax-Wendroff flux reconstruction method for hyperbolic conservation laws, Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step, Remark on the generalized Riemann problem method for compressible fluid flows, An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations, Riemann problem for constant flow with single-point heating source, Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions, A second-order modified ghost fluid method (2nd-MGFM) with discontinuous Galerkin method for 1-D compressible multi-medium problem with cylindrical and spherical symmetry, Simplification of the flux function for a high-order gas-kinetic evolution model, Development of an improved spatial reconstruction technique for the HLL method and its applications, The adaptive GRP scheme for compressible fluid flows over unstructured meshes, A high-resolution scheme for axisymmetric hydrodynamics based on the 2D GRP solvers, A two-stage fourth-order gas-kinetic scheme on unstructured hybrid mesh, Thermodynamical effects and high resolution methods for compressible fluid flows, Stiffened gas approximation and GRP resolution for compressible fluid flows of real materials, Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows, A one-stage high-order gas-kinetic scheme for multi-component flows with interface-sharpening technique, High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws, A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case, Characteristic decomposition of the \(2\times 2\) quasilinear strictly hyperbolic systems, A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws, Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 -- September 4, 2021 (hybrid meeting), Lax-Wendroff solvers-based Hermite reconstruction for hyperbolic problems, A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case, A two-stage fourth-order discontinuous Galerkin method based on the GRP solver for the compressible Euler equations, The simulation of compressible multi-fluid flows by a GRP-based energy-splitting method, Second-order direct Eulerian GRP schemes for radiation hydrodynamical equations, Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities, A High-Resolution Cell-Centered Lagrangian Method with a Vorticity-Based Adaptive Nodal Solver for Two-Dimensional Compressible Euler Equations, Application of the GRP Scheme for Cylindrical Compressible Fluid Flows, Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization, Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC), Computing oscillatory solutions of the Euler system via 𝒦-convergence, Solvers for the high-order Riemann problem for hyperbolic balance laws, A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations, An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver, Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations, A family of HLL-type solvers for the generalized Riemann problem, A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers. II: High order numerical boundary conditions, HFVS: an arbitrary high order approach based on flux vector splitting, A characteristic space-time conservation element and solution element method for conservation laws, Modified ghost fluid method with acceleration correction (MGFM/AC), A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics, Non-equilibrium steady states in quantum critical systems with Lifshitz scaling, A Two-Stage Fourth Order Time-Accurate Discretization for Lax--Wendroff Type Flow Solvers I. Hyperbolic Conservation Laws, Finite-volume schemes for shallow-water equations, Riemann problem and Godunov-type scheme for a two-layer blood flow model, A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries, A GRP-based high resolution ghost fluid method for compressible multi-medium fluid flows. I: One-dimensional case, Criteria for nonuniqueness of Riemann solutions to compressible duct flows, Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables, Implementation of the HLL-GRP solver for multidimensional ideal MHD simulations based on finite volume method, New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows, Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A second-order Godunov-type scheme for compressible fluid dynamics
- An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics
- On Godunov-type methods near low densities
- The numerical simulation of two-dimensional fluid flow with strong shocks
- The generalized Riemann problem for reactive flows
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- On the 2-D Riemann problem for the compressible Euler equations I: Interaction of shocks and rarefaction waves
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- Systems of conservation laws. Two-dimensional Riemann problems
- An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Accurate partial difference methods. II: Non-linear problems
- Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
- The generalized Riemann problem method for the shallow water equations with bottom topography
- An Upwind Second-Order Scheme for Compressible Duct Flows
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- Generalized Riemann Problems in Computational Fluid Dynamics
