A survey on finite volume schemes using triangular meshes

Abstract

This review attempts to place in perspective the variety of simple triangular discretizations which are available for constructing computational meshes in order to use the Finite Volume Method. In general, there are two main schemes for simple finite volume discretizations in triangular meshes: cell-centered and vertex-centered schemes. The two schemes differ in the location of the flux variable in the control volume with respect to the mesh. This review briefly describes some variations of the grid construction and associated techniques. Specifically, the Median Dual and variations, Voronoi Diagram and its dual Delaunay Triangulation, the Green-Gauss integration technique, and the simplified least-square technique are briefly introduced.