The adaptive GRP scheme for compressible fluid flows over unstructured meshes
From MaRDI portal
Publication:401546
DOI10.1016/j.jcp.2013.02.003zbMath1311.76091OpenAlexW2039232007MaRDI QIDQ401546
Publication date: 27 August 2014
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.02.003
least squares methodGRP solveradaptive moving mesh methodconservative interpolationunstructured triangular meshes
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Compressible fluids and gas dynamics (76N99)
Related Items
Numerical methods for Euler equations with self-similar and quasi self-similar solutions ⋮ An arbitrary Lagrangian-Eulerian RKDG method for compressible Euler equations on unstructured meshes: single-material flow ⋮ Second-order direct Eulerian GRP schemes for radiation hydrodynamical equations ⋮ Application of the GRP Scheme for Cylindrical Compressible Fluid Flows ⋮ Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations ⋮ A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case
- High-order adaptive quadrature-free spectral volume method on unstructured grids
- Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations
- A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case
- An adaptive grid with directional control
- A second-order Godunov-type scheme for compressible fluid dynamics
- Solution of the Euler equations for two dimensional transonic flow by a multigrid method
- An adaptive GRP scheme for compressible fluid flows
- A direct Eulerian GRP scheme for compressible fluid flows
- An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics
- Monoslope and multislope MUSCL methods for unstructured meshes
- A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
- Stability analysis of the cell centered finite-volume MUSCL method on unstructured grids
- The numerical simulation of two-dimensional fluid flow with strong shocks
- The generalized Riemann problem for reactive flows
- Adaptive zoning for singular problems in two dimensions
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- An \(r\)-adaptive finite element method based upon moving mesh PDEs
- A moving mesh finite element algorithm for singular problems in two and three space dimensions
- Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
- A three-dimensional adaptive method based on the iterative grid redistribution
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
- Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes
- Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes
- A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics
- An evaluation of several differencing methods for inviscid fluid flow problems
- Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
- 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
- Moving Finite Elements. I
- An Upwind Second-Order Scheme for Compressible Duct Flows
- An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
- A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations
- Generalized Riemann Problems in Computational Fluid Dynamics
- On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes
- Moving Mesh Finite Element Methods for the Incompressible Navier--Stokes Equations
- Moving mesh methods in multiple dimensions based on harmonic maps
This page was built for publication: The adaptive GRP scheme for compressible fluid flows over unstructured meshes
