Accurate wall shear stress in immersed flow analysis with application to point cloud-based CFD

2026-09-20

AI Summary

本文提出一种使用非对称Nitsche公式和近壁模型及基于补丁的应力恢复方法，以提高点云CFD中局部壁面剪切应力预测精度。

Abstract

Point cloud-based CFD enables flow analysis directly on discrete points obtained from 3D scanning and medical imaging, bypassing surface reconstruction, geometry cleanup, and boundary-fitted mesh generation. Derived from immersogeometric analysis, the method immerses the point cloud in a background mesh and enforces no-slip conditions on discrete points through a Nitsche-based weak boundary condition (BC). The framework delivers accurate velocity fields, pressure distribution, and integrated loads; however, accurate prediction of the local wall shear stress (WSS) has remained a critical challenge. The geometry intersects the background mesh arbitrarily, producing cut elements that lack the regularity required for consistent gradient evaluation. The issue is compounded by the stabilization term of the weak BC, whose parameter estimation in the symmetric Nitsche formulation is dependent on the cut configuration and affects the variationally consistent definition of traction from which the WSS is computed. In this work, we propose a new method to obtain accurate wall shear stress in immersed flow analysis with application to point cloud-based CFD, using a non-symmetric Nitsche's formulation with near-wall modeling and a patch-based stress recovery approach with traction compatibility. The method is validated on canonical benchmarks and applied to turbulent flow past a sphere and to a patient-specific aorta, showcasing excellent agreement with reference results.

Problem

• point cloud-based CFD
• wall shear stress (WSS)
• immersed flow analysis
• Nitsche's formulation
• cut elements

Innovation

• non-symmetric Nitsche's formulation
• near-wall modeling
• patch-based stress recovery
• traction compatibility
• immersed flow analysis