A Cartesian grid method with improvement of resolving the boundary layer structure for two-dimensional incompressible flows,International Journal for Numerical Methods in Fluids

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A Cartesian grid method with improvement of resolving the boundary layer structure for two-dimensional incompressible flows
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-04-18 , DOI: 10.1002/fld.4991
Xin Tong ₁ , Lipo Wang ₂ , Jinqiang Chen ₁ , Hua Ouyang ₁

Affiliation

The Cartesian gird has its unique advantages in computational fluid dynamics, especially for complicated boundary cases. However, the boundary layer structures can not be resolved efficiently and effectively using the Cartesian mesh. To overcome such a problem, a new boundary layer structure resolving (BLSR) algorithm is proposed on the basis of the boundary layer physics and force balance analysis. For the present two-dimensional test cases, numerical results justify that the surface friction and drag force can be more accurately calculated without refining the near-wall resolution. In principle this BLSR algorithm is easy to implement with negligible increase of the computational cost.

中文翻译：

二维不可压缩流边界层结构解析的改进笛卡尔网格法

笛卡尔网格在计算流体动力学方面有其独特的优势，特别是对于复杂的边界情况。然而，使用笛卡尔网格无法有效地解析边界层结构。针对这一问题，在边界层物理和力平衡分析的基础上，提出了一种新的边界层结构解析（BLSR）算法。对于目前的二维测试案例，数值结果证明可以更准确地计算表面摩擦力和阻力，而无需细化近壁分辨率。原则上，这种 BLSR 算法很容易实现，计算成本的增加可以忽略不计。

更新日期：2021-04-18

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