Abstract： The formula and solution procedure of characteristics based on incremental and non-incremental split scheme are given in this paper,and the Babuska-Brezzi condition of the two schemes is discussed.The convective acceleration term disappears along the characteristic.The momentum equation is solved by non-incremental split method,which satisfies the Babuska-Brezzi condition.Thus there is no restriction on the nature of the interpolation function.At last T3P3 element is used to solve incompressible N-S equation.The result shows that the characteristics based on non-incremental split scheme has good performance.
[1]Nithiarasu P,Zienkiewicz O C.Analysis of an explicit and matrix free fractional step method for incompressible flows[J].Computer Methods in Applied Mechanics and Engineering,2006,195:5537-5551.[2]Zienkiewicz O C,Taylor R L.The finite element patch test revisited A computer test for convergence,validation and error estimates[J].Computer Methods in Applied Mechanics and Engineering,1997,149:223-254.[3]Mukhopadhyay A,Biswas G,Sundararajan T.Numerical investigation of confined wakes behind a square cylinder in cylinder in a channel[J].International Journal for Numerical Methods in Fluids,1992,14:1473-1484.[4]Breuer M,Bernsdorf J,Zeiser T,et al.Accurate computations of the laminar flow past a square cylinder based on two different methods:lattice Boltzmann and finite volume[J].The International Journal of Heat and Fluid Flow,2000,21:186-196.
