一种二维谱体积方法的改进算法
首发时间:2020-05-22
摘要:谱体积方法是一种本质上解决网格依赖性的高精度CFD计算方法,针对求解二维Euler方程的谱体积方法,提出一种基于切比雪夫多项式的单元分割方法,建立了基于WENO的变量限制器方法,并发展了结合谱体积和控制体的"问题单元"标记方法。采用15 超声速压缩拐角、NACA0012跨声速流动两个典型算例进行验证,结果表明该分区方法具有更好的计算精度,标记方法可有效识别不连续区域,在较少的网格下即可获得与密网格传统有限体积法相当的计算精度。
关键词: 谱体积方法 非结构网格 切比雪夫多项式 限制器 计算流体力学
For information in English, please click here
An improved algorithm for two-dimensional spectral volume method
Abstract:The spectral volume method is a high-precision CFD calculation method that essentially resolves the grid dependence. Focused on the spectral volume method of the two-dimensional compressible Euler equation. A new cell partition method is proposed based on the Chebyshev polynomial, and a WENO-based Variable limiter method is established to develop the "trouble cells" marking method combining with the spectral volume and control volume. Two typical numerical examples of 15 supersonic compression wedge and NACA0012 transonic flow are used to do the verification. The results indicate that the new partitioning method has better accuracy compare with existing methods, and the marking method can effectively identify discontinuous areas. Finally, the SV method on coarse grid can achieve a good precision results equivalent to the common finite volume method under fine grids.
Keywords: Spectral volume method Unstructured grid Chebyshev polynomial Limiter CFD
基金:
引用
No.****
动态公开评议
共计0人参与
勘误表
一种二维谱体积方法的改进算法
评论
全部评论0/1000