A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

DOI10.4208/cicp.OA-2016-0090zbMath1488.65410OpenAlexW2598074451WikidataQ57426503 ScholiaQ57426503MaRDI QIDQ5159070

No author found.

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2016-0090

zbMATH Keywords

compressible Navier-Stokes equationshybrid gridsdirect discontinuous Galerkin method

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Compressible Navier-Stokes equations (76N06)

Related Items (20)

A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows ⋮ A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations ⋮ A vertex-centered finite volume method with interface sharpening technique for compressible two-phase flows ⋮ Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations ⋮ An implementation of MPI and hybrid OpenMP/MPI parallelization strategies for an implicit 3D DDG solver ⋮ A p-multigrid compact gas-kinetic scheme for steady-state acceleration ⋮ A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow ⋮ A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation ⋮ Symmetry-preserving WENO-type reconstruction schemes in Lagrangian hydrodynamics ⋮ Two-step multi-resolution reconstruction-based compact gas-kinetic scheme on tetrahedral mesh ⋮ Three-dimensional high-order finite-volume method based on compact WENO reconstruction with hybrid unstructured grids ⋮ HODG: high-order discontinuous Galerkin methods for solving compressible Euler and Navier-Stokes equations -- an open-source component-based development framework ⋮ A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids ⋮ Exponential boundary-layer approximation space for solving the compressible laminar Navier-Stokes equations ⋮ A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids ⋮ A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations ⋮ An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations ⋮ A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity ⋮ A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids ⋮ A Gradient Compression-Based Compact High-Order Gas-Kinetic Scheme on 3D Hybrid Unstructured Meshes

Uses Software

• METIS

Cites Work

• The direct discontinuous Galerkin (DDG) viscous flux scheme for the high order spectral volume method
• A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
• A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
• An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
• An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
• A fast, matrix-free implicit method for compressible flows on unstructured grids
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
• A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids
• Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
• Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
• A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
• Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations
• Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations
• Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations
• The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
• The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
• The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

This page was built for publication: A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids