ABSTRACT

Fluid-structure interaction problem - unsteady channel flow with a moving indentation problem, which represents flow features of oscillating stenosis of a blood vessel, is numerically simulated here. The flow phenomenon inside the channel with a moving boundary is found to be unsteady and complex mainly due to the presence of the moving boundary and its interaction with flowing fluid. In this paper, a high order accurate Harten Lax and van Leer with contact for artificial compressibility Riemann solver has been used for flow computation. The Riemann solver is modified to incorporate arbitrarily Lagrangian-Eulerian formulation to take care of mesh movement in the computation, where radial basis function is used for dynamically moving the mesh. Higher-order accuracy over unstructured meshes is achieved using quadratic solution reconstruction based on solution dependent weighted least squares based gradient calculation. The present numerical scheme is validated here and the numerical results produced are found to agree with experimental as well as numerical results reported in the literature.

摘要

流体-结构相互作用问题-具有运动压痕问题的不稳定通道流动，在此数值模拟了代表血管振荡狭窄的流动特征。发现具有移动边界的通道内部的流动现象不稳定且复杂，这主要是由于存在移动边界及其与流动流体的相互作用。在本文中，用于人工可压缩性Riemann求解器的具有接触的高阶精确Harten Lax和van Leer已用于流量计算。修改了Riemann解算器以合并任意Lagrangian-Eulerian公式，以照顾计算中的网格运动，其中径向基函数用于动态移动网格。使用基于求解相关加权最小二乘的梯度计算的二次求解重构，可以实现非结构化网格的高阶精度。在这里验证了当前的数值方案，并且发现产生的数值结果与实验以及文献中报道的数值结果一致。