基于SIMPLE算法的时间离散格式比较

A Comparison of Temporal Discretization Schemes for the SIMPLE Method

本文在具有高精度空间离散格式的SIMPLE算法计算代码的基础上研究比较了非稳态计算的时间离散格式.分别采用一阶全隐和二阶全隐格式对非稳态的控制方程进行离散,通过方腔驱动流和圆柱绕流两个经典算例的分析,比较了这两种格式在计算精确性和计算效率等方面的性能。

Based on an in-house high-resolution code for steady flows, temporal discretization schemes for the unsteady Navier-Stokes equations are added to the code and tested in this paper. The first order and the second order implicit schemes are considered and tested by calculating the flows in a lid-driven cavity and over a cylinder. Numerical results are compared in order to analyse the accuracy and the computational efficiency of the schemes.