Two-Dimensional Thermal Diffusion Equation Solver Based on Unstructured Transmission-Line Modelling and Optimal Delaunay Triangular Meshes

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.

A cell-centered diffusion scheme on two-dimensional unstructured meshes

We propose a new cell-centered diffusion scheme on unstructured meshes. The main feature of this scheme lies in the introduction of two normal fluxes and two temperatures on each edge. A local variational formulation written for each corner cell provides the discretization of the normal fluxes. This discretization yields a linear relation between the normal fluxes and the temperatures defined o...

Hierarchical Basis for the Convection-Diffusion Equation on Unstructured Meshes

Hierarchical Basis for the Convection-Diffusion Equation on Unstructured Meshes

A Two-Dimensional Fourth-Order CESE Method for the Euler Equations on Triangular Unstructured Meshes

Previously, Chang reported a new high-order Conservation Element Solution Element (CESE) method for solving nonlinear, scalar, hyperbolic partial differential equations in one dimensional space. Bilyeu et al. have extended Chang’s scheme for solving a onedimensional, coupled equations with an arbitrary order of accuracy. In the present paper, the one-dimensional, high-order CESE method is exten...