A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
Reads0
Chats0
TLDR
The numerical results indicate that this reconstruction-based discontinuous Galerkin (RDG) method is able to deliver the same accuracy as the well-known Bassi-Rebay II scheme, at a half of its computing costs for the discretization of the viscous fluxes in the Navier-Stokes equations, clearly demonstrating its superior performance over the existing DG methods.About:
This article is published in Journal of Computational Physics.The article was published on 2010-09-01 and is currently open access. It has received 196 citations till now. The article focuses on the topics: Discontinuous Galerkin method & Euler equations.read more
Citations
More filters
A Ghost-Cell Immersed Boundary Method for Flow in Complex Geometry
Yu-Heng Tseng,Joel H. Ferziger +1 more
TL;DR: An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented in this paper, where a boundary condition is enforced through a ghost cell method.
Journal ArticleDOI
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics
TL;DR: The direct connection between the HPR model and the classical hyperbolic-parabolic Navier-Stokes-Fourier theory is established for the first time via a formal asymptotic analysis in the stiff relaxation limit.
Proceedings ArticleDOI
Beyond Interface Gradient: A General Principle for Constructing Diffusion Schemes
TL;DR: A general principle for constructing time-accurate diffusion schemes, which is applicable to various discretization methods, includingnite-volume, residual- distribution, discontinuous-Galerkin, and spectral-volume methods, based on a hyperbolic relaxation-system model for diffusion.
Journal ArticleDOI
A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids
TL;DR: The numerical experiments indicate that the HWENO (P"1P"2) method is able to capture shock waves within one cell without any spurious oscillations, and achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method.
Journal ArticleDOI
A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
TL;DR: The main finding of this paper is that the combination of ADER with MOOD generally outperforms the one of ADer and WENO either because at given accuracy MOOD is less expensive (memory and/or CPU time), or because it is more accurate for a given grid resolution.
References
More filters
Journal ArticleDOI
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
U Ghia,K.N Ghia,C. T. Shin +2 more
TL;DR: The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions.
Journal ArticleDOI
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
TL;DR: In this paper, a framework for the analysis of a large class of discontinuous Galerkin methods for second-order elliptic problems is provided, which allows for the understanding and comparison of most of the discontinuous methods that have been proposed over the past three decades.
Journal ArticleDOI
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
Bernardo Cockburn,Chi-Wang Shu +1 more
TL;DR: It is proven that for scalar equations, the LDG methods are L2-stable in the nonlinear case and in the linear case, it is shown that if polynomials of degree k are used, the methods are kth order accurate for general triangulations.
Book
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
Jan S. Hesthaven,Tim Warburton +1 more
TL;DR: The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations.
Related Papers (5)
The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V
Bernardo Cockburn,Chi-Wang Shu +1 more
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
Bernardo Cockburn,Chi-Wang Shu +1 more