Xu Minghai1，Tao Wenquan2
(1.College of Transport ＆ Storage and Civil Engineering,University of Petroleum(East China),Dongying 257061, China;2.School of Energy and Power Engineering,Xi'an Jiaotong University,Xi'an 710049,China)
Abstract:A method for solving steady incompressible Navier-Stokes equations on hybrid unstructured grids was presented. The pressure correction method, originally developed by Date for flow on structured grids, was employed to enforce mass conservation on hybrid unstructured grids. All the variables were defined at the center of each cell while the face velocities were calculated by interpolation at the midpoints of the corresponding cell faces. The convection flux was calculated with upwind least-square method and the diffusion flux was calculated with the gradient projection method. Both the momentum and Poisson equations were integrated with the finite volume method which is independent of cell shapes. The algebraic equations were solved with GaussSeidel method. The present numerical method
was applied to two different benchmark problems and is confirmed to be accurate and efficient.
Keywords:unstructured grids; pressure correction; NavierStokes equations; colocated grid