Implicit high-order discontinuous Galerkin method with HWENO type limiters for steady viscous flow simulations

DOI10.1007/s10409-013-0042-1zbMath1346.76069OpenAlexW1990956878MaRDI QIDQ317952

Jian Yu, Chao Yan, Zhen-Hua Jiang

Publication date: 4 October 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-013-0042-1

zbMATH Keywords

unstructured gridshigh ordermethodimplicitdiscontinuous Galerkin (DG) schemeHWENO

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) Compressible fluids and gas dynamics (76Nxx)

Related Items

A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids, Hybrid central-upwind finite volume schemes for solving the Euler and Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local DG method using WENO type limiters for convection-diffusion problems
• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
• A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
• A fast, matrix-free implicit method for compressible flows on unstructured grids
• Weighted essentially non-oscillatory schemes on triangular meshes
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
• A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
• Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
• Hermite WENO-based limiters for high order discontinuous Galerkin method on unstructured grids
• High-order discontinuous Galerkin methods using an \(hp\)-multigrid approach
• A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
• Implicit LU-SGS algorithm for high-order methods on unstructured grid with \(p\)-multigrid strategy for solving the steady Navier-Stokes equations