A multi-moment nite volume method for incompressible Navier-Stokes equations on unstructured grids
A robust and accurate nite volume method (FVM) is proposed for incompressible viscous uid dynamics on triangular and tetrahedral unstructured grids.Different from conven- tional FVM where the volume integrated average (VIA) value is the only computational variable,the present formulation treats both the VIA and the point values (PV) at the cell vertexes as the computational variables which are updated at each time step.The VIA is computed from a nite volume scheme of ux form,and is thus numerically conservative.The PV is updated from the dierential form of the governing equation that does not have to be conservative but can be solved in a very e cient way.Including PV as the additional variable enables us to make higher-order reconstructions over compact mesh stencil to improve the accuracy,and moreover,the resulting numerical model is more robust for unstructured grids.We present the numerical formulations in both two and three dimensions on triangular and tetrahedral mesh elements.Numerical results of several benchmark tests are also presented to verify the proposed numerical method as an accurate and robust solver for incompressible ows on unstructured grids.
Finite volume method unstructured grid robustness accuracy triangular/tetrahedral mesh incompressible ow multi-moment compact-stencil
Bin Xie Feng Xiao
Department of Energy Sciences, Tokyo Institute of Technology,4259 Nagatsuta Midori-ku, Yokohama, 226-8502, Japan
国际会议
The 8th International Conference of Computational Fluid Dynamics, (ICCFD8)(第八届国际计算流体力学会议)
成都
英文
1-22
2014-07-25（万方平台首次上网日期，不代表论文的发表时间）