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

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...

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...

Monotonic solution of heterogeneous anisotropic diffusion problems

Article history: Received 14 February 2012 Received in revised form 1 March 2013 Accepted 6 June 2013 Available online 27 June 2013

Modifying Delaunay Refined Two-Dimensional Triangular Meshes

We propose algorithms to modify a mesh of a PSLG through out the interactive addition/deletion of elements to/from the PSLG, keeping the quality of the mesh all along the process. Our algorithms achieve quality by deleting, moving or inserting Steiner points.

Transonic Turbulent Flow Computations on Unstructured Triangular Grids