Learn More
We present a high-order formulation for solving hyperbolic conservation laws using the Discon-tinuous Galerkin Method (DGM). We introduce an orthogonal basis for the spatial discretization and use explicit Runge-Kutta time discretization. Some results of higher-order adaptive refinement calculations are presented for in-viscid Rayleigh Taylor flow(More)
SUMMARY An anisotropic adaptive analysis procedure based on a discontinuous Galerkin finite element discretization and local mesh modification of simplex elements is presented. The procedure is applied to transient 2-and 3-dimensional problems governed by Euler's equation. A smoothness indicator is used to isolate jump features where an aligned mesh metric(More)
A quadrature free, Runge–Kutta discontinuous Galerkin method (QF-RK-DGM) is developed to solve the level set equation written in a conservative form on two-and tri-dimensional unstructured grids. We show that the DGM implementation of the level set approach brings a lot of additional benefits as compared to traditional ENO level set real-izations. Some(More)
In this paper, we describe a way to compute accurate bounds on Jacobian determinants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the distortion of(More)
The paper presents an a priori procedure to control the element size and shape variation for meshing algorithms governed by anisotropic sizing specifications. The field of desired element size and shape is represented by a background structure. The procedure consists in replacing the initial field with a smoothed one that preserves anisotropic features and(More)
In this paper, we present a new point of view for efficiently managing general parallel mesh representations. Taking as a slarting point the Algorithm Oriented Mesh Database (AOMD) of [1] we extend the concepts to a parallel mesh representation. The important aspects of parallel adaptivity and dynamic load balancing are discussed. We finally show how AOMD(More)
SUMMARY A general method for the post-processing treatment of high order finite element fields is presented. The method applies to general polynomial fields, including discontinuous finite element fields. The technique uses error estimation and h-refinement to provide an optimal visualization grid. Some filtering is added to the algorithm in order to focus(More)