高效处理几何奇异性的浸没边界法：应用于肋条
Handling geometric singularities efficiently with the immersed-boundary method: application to riblets
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中文总结 AI 辅助
本文提出一种增强的浸没边界法，通过匹配稳态斯托克斯解高效处理几何奇异性，在肋条流动的层流与湍流测试中，以较低计算成本重现参考结果。
中文摘要 AI 辅助
我们提出了一种对经典浸没边界法的增强，用于不可压缩纳维-斯托克斯方程的直接数值模拟，旨在高效处理几何奇异性。该方法具有通用性，本文在覆盖有小型纵向肋条的平面壁面上的流动背景下进行描述。该增强方法规定边界附近的解匹配稳态斯托克斯解。通过这种方式，在速度梯度最强且粘性效应占主导的尖锐拐角处，可以使用与光滑壁面所需的网格相当的网格来处理。该方法需要获得局部斯托克斯解，该解可以通过解析或数值方式获得。讨论了两种测试案例：一种肋条上的层流，用于测量突出高度，以及一种带有肋壁的全湍流通道流。在两种情况下，该方法以显著较低的计算成本重现了参考结果。
英文摘要
We present an enhancement of classical immersed boundary methods for the direct numerical simulation of the incompressible Navier-Stokes equations, designed to efficiently cope with geometrical singularities. The method, while general, is described here in the context of the flow over a plane wall covered by small longitudinal riblets. The enhancement consists in prescribing that the solution near the boundary matches the steady Stokes solution. In this way, sharp corners, where velocity gradients are strongest and viscous effects dominate, become tractable with grids comparable to those necessary for a smooth wall. The method requires the availability of a local Stokes solution, that can be obtained either analytically or numerically. Two test cases are discussed: the laminar flow over one riblet, which allows to measure protrusion heights, and a fully turbulent channel flow with ribbed walls. In both cases, the method reproduces reference results at a substantially lower computational cost.
发表机构
- Institute of Fluid Mechanics, Karlsruhe Institute of Technology（卡尔斯鲁厄理工学院流体力学研究所）
- Dept. of Aerospace Engineering, Politecnico di Milano（米兰理工大学航空航天工程系）
- Dip. di Ingegneria Industriale, Università di Salerno（萨莱诺大学工业工程系）
机构由 AI 辅助整理，请以论文原文为准。
