Journal ArticleDOI
Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
TLDR
In this paper, the problem of obtaining convergence to steady state solutions of the Euler equations when limiters are used in conjunction with upwind schemes on unstructured grids is addressed.About:
This article is published in Journal of Computational Physics.The article was published on 1995-04-01. It has received 885 citations till now. The article focuses on the topics: Flux limiter & Unstructured grid.read more
Citations
More filters
Journal ArticleDOI
Analysis and design of numerical schemes for gas dynamics, 1: artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence
TL;DR: A new formulation of symmetric limned positive (SLIP) schemes is presented, which can be generalized to produce schemes with arbitrary high order of accuracy in regions where the solution contains no extrema, and which can also be implemented on multi-dimensional unstructured meshes.
Journal ArticleDOI
Space--time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows: I. general formulation
TL;DR: Simulations show that using the data at the superconvergence points, the accuracy of the numerical discretization is O(h5/2) in space for smooth subsonic flows, both on structured and on locally refined meshes, and that the space-time adaptation can significantly improve the accuracy and efficiency of the numeric method.
Journal ArticleDOI
Parameter-Free Simple Low-Dissipation AUSM-Family Scheme for All Speeds
Eiji Shima,Keiichi Kitamura +1 more
TL;DR: In this paper, a simple low-dissipation numerical flux function of the AUSM-family for all speeds, called the simple low dissipation AUSMs, was proposed.
Journal ArticleDOI
Unstructured grid techniques
TL;DR: An overview of the current state of the art in unstructured mesh techniques for computational fluid dynamics is given, including mesh generation and adaptation, spatial discretization, and solution techniques for steady flows.
Journal ArticleDOI
TVD schemes for unstructured grids
Marwan Darwish,Fadl Moukalled +1 more
TL;DR: This paper proposes a simple method that allows the implementation of the full spectrum of TVD schemes in unstructured grids, while recovering their exact formulation on structured grids.