Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes

Geometric Properties of the Local Refinement in Unstructured Triangular Meshes

In this work we study the propagation problem due to the conformity process in the longestedge based refinement algorithms for triangular unstructured meshes. The geometric properties in study answers the important question of how the size of the triangulation is affected when local refinement is applied. We prove both theoretically and empirically that the propagation of a single triangle refi...

Monotonic solution of flow and transport problems in heterogeneous media using Delaunay unstructured triangular meshes

Transport problems occurring in porous media and including convection, diffusion and chemical reactions, can be well represented by systems of Partial Differential Equations. In this paper, a numerical procedure is proposed for the fast and robust solution of flow and transport problems in 2D heterogeneous saturated media. The governing equations are spatially discretized with unstructured tria...

Force-Directed Methods for Smoothing Unstructured Triangular and Tetrahedral Meshes

P-Conservative Solution Interpolation on Unstructured Triangular Meshes

This document presents an interpolation operator on unstructured triangular meshes that verifies the properties of mass conservation, P-exactness (order 2) and maximum principle. This operator is important for the resolution of the conservation laws in CFD by means of mesh adaptation methods as the conservation properties is not verified throughout the computation. Indeed, the mass preservation...

Optimization-based Fluid Simulation on Unstructured Meshes

We present a novel approach to fluid simulation, allowing us to take into account the surface energy in a precise manner. This new approach combines a novel, topology-adaptive approach to deformable interface tracking, called the deformable simplicial complexes method (DSC) with an optimization-based, linear finite element method for solving the incompressible Euler equations. The deformable si...