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Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equations |
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| Authors: | Gang Chen Min-fu Feng Yin-nian He |
| Institution: | 1. Department of Mathematics, Sichuan University, Chengdu, 610064, P.R. China 2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China |
| Abstract: | This paper proposes a new nonconforming finite difference streamline diffusion method to solve incompressible time-dependent Navier-Stokes equations with a high Reynolds number. The backwards difference in time and the Crouzeix-Raviart (CR) element combined with the P0 element in space are used. The result shows that this scheme has good stabilities and error estimates independent of the viscosity coefficient. |
| Keywords: | Navier-Stokes equation high Reynolds number Ladyzhenskaya-Babugka- Brezzi （LBB） condition finite difference streamline diffusion method discrete Gronwall＇s inequality |
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