一种基于Picard迭代求解不可压缩Navier-Stokes方程的速度修正投影法

Velocity-correction Schemes for Solving Incompressible Navier-Stokes Equations Based on Picard Iteration

  • 摘要: 介绍基于速度修正投影技术处理不可压缩Navier-Stokes方程的实施流程, 并引入Picard线性化处理速度控制方程中的对流项, 从而发展出一种基于Picard迭代的速度修正投影法。相较于传统方法, 经过Picard线性化处理后的投影法可以采用更大的时间步长进行求解, 提高了求解方法的稳定性, 并且收敛精度也符合要求, 证实了求解方法的可靠性。

     

    Abstract: The implementation flow of processing incompressible Navier-Stokes equations based on velocity-correction schemes is introduced, and velocity-correction schemes based on Picard iteration is developed by introducing Picard linearization to process the convection term in the velocity governing equation. Compared with the traditional method, the projection method after Picard linearization can be solved with a larger time step, which improves the stability of the solution method, and the convergence accuracy meets the requirements, which confirms the reliability of the solution method.

     

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