A finite volume method for the approximation of convection-diffusion equations on general meshes

A new finite volume method is presented for approximating convectiondiffusion equations. This method allows general (unstructured, non-matching, distorted) meshes to be used without the numerical results being too much altered. The method has been tested for some well-known benchmarks involving convection and convectiondiffusion operators in two space dimensions. These numerical experiments show that it is between first and second-order accurate, according to the type of the underlying mesh. Further numerical experiments regarding the striation equations have been carried out successfully. Copyright (c) 2012 John Wiley & Sons, Ltd.