A multidimensional characteristic-based method for making incompressible flow calculations on unstructured grids

This paper presents a new multidimensional characteristic-based scheme (MCB) for numerical simulation of incompressible flows on unstructured grids in conjunction with the artificial compressibility method. The original MCB scheme has been proposed by the authors already and this research is the extension of the aforementioned scheme to unstructured grids. The significant difference between MCB and the conventional characteristic-based scheme (CB) is the multidimensional nature of the scheme, which allows information to propagate in any direction instead of only normal to the cell interface. In addition, local time stepping and the residual smoothing technique have been used for convergence acceleration. The accuracy and utility of the proposed scheme have been studied by means of numerical tests for different Reynolds numbers and the results obtained using the new scheme are in good agreement with the standard benchmark solution in the literature.