A conservative finite-volume second-order-accurate projection method on hybrid unstructured grids

This paper describes a finite volume discretization method to compute stead y, two-dimensional incompressible viscous recirculating flows using hybrid unstructured meshes, composed of triangles and quadrilaterals. However, the proposed formulation is not restricted to these topologies. The new method includes a second-order least squares scheme for convection discretization, and a fractional step projection method based on a staggere d grid arrangement for pressure velocity coupling. Numerical results are re ported to demonstrate the robustness, second-order accuracy, and flexibilit y of the proposed method. To the authors' knowledge, this paper represents the first general unstruct ured grid finite volume method to achieve full second-order accuracy for th e steady incompressible 2D version of Navier-Stokes equations. (C) 1999 Aca demic Press.