论文标题
MMOC在doswell额构方程的逆设计中的计算性能
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
论文作者
论文摘要
运输方程的逆设计可以使用梯度 - 伴侣方法来解决。在此方法中,用于伴随分辨率的数值方案确定了下降算法中下降方向的方向,从而确定了逆设计所消耗的CPU时间。由于CPU时间构成已知的瓶颈,因此必须采用轻巧和快速的方案来解决伴随问题。在这方面,我们建议使用修改的特征方法(MMOC)。尽管没有保存身份保护,但MMOC在计算上具有竞争力。在这项工作中,我们研究了使用MMOC与Lax-Friedrichs和Lax-Wendro相比的优势?逆设计问题的方案。通过测试Doswell额生剂方程,我们观察到MMOC可以在某些模拟条件下提供更有效,更准确的计算。
Inverse design of transport equations can be addressed by using a gradient-adjoint methodology. In this methodology numerical schemes used for the adjoint resolution determine the direction of descent in its iterative algorithm, and consequently the CPU time consumed by the inverse design. As the CPU time constitutes a known bottleneck, it is important to employ light and quick schemes to the adjoint problem. In this regard, we proposed to use the Modified Method of Characteristics (MMOC). Despite not preserving identity conservation, the MMOC is computationally competitive. In this work we investigated the advantage of using the MMOC in comparison with the Lax-Friedrichs and Lax-Wendro? schemes for the inverse design problem. By testing the Doswell frontogenesis equation, we observed that the MMOC can provide more efficient and accurate computation under some simulation conditions.