纯对流流体数值仿真越界求解方法对比

Method Comparison of Over-bound Problem of Pure Convection Flow Numerical Simulation

对于阶梯形标量场的纯对流传递,采用有限容积法离散控制方程,采用Gauss-seidel法进行迭代求解,采用延迟修正增加迭代过程的稳定性。通过不同格式离散对流项得到的计算结果可以看到:一阶迎风格式计算结果精度太低,中心差分格式的结果发生振荡,二阶迎风和QUICK格式精度较高,但会产生越界现象。高阶有界组合格式计算精度高,且具有有界性。

For the pure convention of the step-shape scalar field,the finite volume method is adopted to disperse the governing equation,the Gauss-seidel is used for iteration to solve the equation and the delay correction is adopted to increase the stability of the iterative process. The calculation results show that： the accuracy of the upwind format calculation result of the first order is too low and the result of the central difference format vibrates. The accuracy of the upwind format calculation of the second order and the QUICK format calculation is high,but the cross-border phenomenon occurs. The higher-order bounded combination format has high accuracy with boundedness.