Acta Scientiarum Naturalium Universitatis Pekinensis

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Convergence of Pressure for Viscosity Splitting Schemes

YING Lungan   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:1997-01-15 Online:1997-09-20 Published:1997-09-20

粘性分离格式中压力的收敛性

应隆安   

  1. 北京大学数学学院,北京,100871

Abstract: Three dimensional initial boundary value problem of the Navier-Stokes equation is considered. The equation is split into an Euler equationand a non-stationary Stokes equation within each time step. Under the hypothesis that the original problem possesses a smooth solution, the L2 norm of the errors of the pressure is obtained.

Key words: Navier-Stokes equations, viscosity splitting, pressure

摘要: 考虑Navier-Stokes方程的三维初边值问题。在每一个时间步方程分离为一个Euler方程和一个非定常的Stokes方程。在原问题具有一个光滑解的假设下,得到了压力的误差的L2模估计。

关键词: Navier-Stokes方程, 粘性分离, 压力

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