Jean-François Remacle

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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 twoand 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 realizations. Some(More)
A novel numerical method for solving three-dimensional two phase flow problems is presented. This method combines a quadrature free discontinuous Galerkin method for the level set equation with a pressure stabilized finite element method for the Navier Stokes equations. The main challenge in the computation of such flows is the accurate evaluation of(More)
*Correspondence: tristan.carrier@uclouvain.be 1Université catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering, Bâtiment Euler, Avenue Georges Lemaître 4, Louvain-la-Neuve 1348, Belgium Full list of author information is available at the end of the article Abstract Background: Indirect quad mesh generation methods rely on an(More)
This paper presents a method to generate valid 2D high order meshes with optimized geometrical accuracy. The high order meshing procedure starts with a straight sided mesh. High order points are initially snapped to the real geometry without taking care of the validity of the high order elements. An optimization procedure that both allow to untangle invalid(More)
Abstract. We present a high-order formulation for solving hyperbolic conservation laws using the Discontinuous 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 inviscid Rayleigh Taylor flow(More)
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 twoand three-dimensional problems governed by Euler’s equation. A smoothness indicator is used to isolate jump features where an aligned mesh metric(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)
A numerical method for the simulation of three-dimensional incompressible twophase flows is presented. The proposed algorithm combines an implicit pressure stabilized finite element method for the solution of incompressible two-phase flow problems with a level set method implemented with a quadrature-free Discontinuous Galerkin (DG) method [1]. The use of a(More)