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Three-Dimensional Simulation of Pulsatile Flow Through a Porous Bulge

机译：通过多孔凸起的脉动流的三维模拟

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摘要

The present research deals with simulation of pulsatile flow through a tubular bulge filled with homogeneous, isotropic, saturated porous medium. For comparison, flow fields are also computed for the flow through clear medium in the same geometry. Both cases involve three-dimensional, unsteady, laminar, incompressible flow of Newtonian fluid. Flow through the porous medium is modeled via Forchheimer-Brinkman-extended Darcy model. While semi-analytical solutions are presented for the asymptotic cases, numerical techniques are used for the general solutions of the conservation equations. The governing equations, in both porous and clear media, are discretized by an implicit finite volume technique over an unstructured tetrahedral mesh. The resulting algebraic equations are solved using stabilized biconjugate gradient technique. Simulations include Darcy numbers of and at Reynolds numbers of 500 and 2000 based on the peak incoming average velocity and main tube diameter. The Womersley number is chosen to be 11.3 to mimic biomedical application. Results show that the porous medium naturalizes the recirculations and secondary flows while experiencing higher-pressure drop and wall shear compared to that of the clear medium.
机译：本研究处理了通过均质，各向同性，饱和多孔介质填充的管状凸起的脉动流的模拟。为了进行比较，还计算了流经相同几何形状的透明介质的流场。这两种情况都涉及牛顿流体的三维，不稳定，层状，不可压缩流动。通过Forchheimer-Brinkman扩展的Darcy模型对通过多孔介质的流动进行建模。虽然给出了渐近情况的半解析解，但是数值技术被用于守恒方程的一般解。通过隐式有限体积技术在非结构化四面体网格上离散化了多孔介质和透明介质中的控制方程。使用稳定的双共轭梯度技术求解所得的代数方程。根据峰值平均速度和主管直径，模拟包括达西数为500和2000的雷诺数，雷诺数为500和2000。模拟生物医学应用的Womersley数选择为11.3。结果表明，与透明介质相比，多孔介质使再循环和二次流自然化，同时经历了更高的压降和壁切变。

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