A residual-based h-adaptive reconstructed discontinuous Galerkin method for the compressible Euler equations on unstructured grids

DOI10.1016/j.compfluid.2017.08.016zbMath1390.76379OpenAlexW2744711875MaRDI QIDQ1648481

Tiegang Liu, Shengjiao Yu, Huiqiang Yue, Jian Cheng

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.08.016

zbMATH Keywords

compressible Euler equationshigh-order methodreconstructed discontinuous Galerkin methodh-adaptive method

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Compressible fluids and gas dynamics (76Nxx)

Related Items (6)

A high order compact least-squares reconstructed discontinuous Galerkin method for the steady-state compressible flows on hybrid grids ⋮ A reconstructed direct discontinuous Galerkin method for simulating the compressible laminar and turbulent flows on hybrid grids ⋮ A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids ⋮ A two-stage fourth-order discontinuous Galerkin method based on the GRP solver for the compressible Euler equations ⋮ An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations ⋮ Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension

Uses Software

• deal.ii

Cites Work

• Unnamed Item
• Unnamed Item
• Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
• A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems
• A class of hybrid DG/FV methods for conservation laws. II: Two-dimensional cases
• Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
• A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids
• An adaptive finite volume solver for steady Euler equations with non-oscillatory \(k\)-exact reconstruction
• Adjoint-based \(h\)-\(p\) adaptive discontinuous Galerkin methods for the 2D compressible Euler equations
• 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
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• An implicit Hermite WENO reconstruction-based discontinuous Galerkin method on tetrahedral grids
• A class of DG/FV hybrid schemes for conservation law IV: 2D viscous flows and implicit algorithm for steady cases
• A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids
• A hybrid reconstructed discontinuous Galerkin method for compressible flows on arbitrary grids
• A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids
• Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
• A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
• A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids
• A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
• A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
• deal.II—A general-purpose object-oriented finite element library
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
• A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids
• High‐order CFD methods: current status and perspective
• Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations

This page was built for publication: A residual-based h-adaptive reconstructed discontinuous Galerkin method for the compressible Euler equations on unstructured grids