WENO格式在稳态问题中的应用

Numerical study on the WENO scheme in steady flow problem

高阶、高分辨率的WENO格式大大加强了对于复杂流场结构的分辨能力和计算精度 ,但计算时间较TVD格式有了明显的增加。近似隐式分裂的LU方法能够加快求解稳态问题的收敛速度。本文结合WENO格式和LU方法实现了求解稳态问题的有效方法 ,它使得求解稳态问题在收敛速度和计算精度上都有了较大的提高。通过算例的数值分析可以看出 ,上述方法不但收敛速度有了明显的提高 。

High order, high resolution WENO scheme can improved the resolution and accuracy of the complex flow structure. Approximated implicit split lower upper method can speed up the convergence for time-marching problem. By combining WENO scheme and LU method, an efficient algorithm for steady flow calculating is presented. The numerical results show that the algorithm can speed up the convergence , and is distinguished for describing the complex structure of flow.