基于压力校正增量形式投影方法对含哥氏力的Navier-Stokes方程的误差分析方法

摘要

This paper deals with the incompressible and nonlinear issue of the coriolis force, contained in the Navier-Stokes equations with coriolis force in hydromechanics. We make the error analysis for the unsteady incompressible Navier-Stokes equations with coriolis force by using the incremental pressure-correction projection scheme. The main result is that the time accuracy of velocity is approximately first-order and that of the pressure is approximately weak first-order. In the end, the correctness of the propose results is verified by a numerical example.%为解决流体力学中含哥氏力的Navier-Stokes方程中的哥氏力不可压及非线性问题,本文利用压力校正增量形式投影方法对含哥氏力的Navier-Stokes方程进行了误差分析,得到速度的时间精度是一阶的,压力的时间精度是弱一阶的结果.最后,通过数值实例验证了结论的正确性.