A non-discrete method for computation of residence time in fluid mechanics simulations.

作者: Mahdi Esmaily-Moghadam , Tain-Yen Hsia , Alison L. Marsden

DOI: 10.1063/1.4819142

关键词: Applied mathematicsPlatelet activationRegion of interestResidence time (statistics)PhysicsFluid mechanicsShear flowFlow (mathematics)Eulerian pathSensitivity (control systems)

摘要: Cardiovascular simulations provide a promising means to predict risk of thrombosis in grafts, devices, and surgical anatomies adult pediatric patients. Although the pathways for platelet activation clot formation are not yet fully understood, recent findings suggest that is increased regions flow recirculation high residence time (RT). Current approaches calculating RT typically based on releasing finite number Lagrangian particles into field by tracking their positions. However, special care must be taken achieve temporal spatial convergence, often requiring repeated simulations. In this work, we introduce non-discrete method which calculated an Eulerian framework using advection-diffusion equation. We first present formulation given region interest two alternate definitions. The physical significance sensitivity measures discussed mathematical relation established. An extension point-wise value also presented. methods presented here then applied 2D cavity representative clinical scenarios, involving shunt placement single ventricle heart defects Kawasaki disease. second case study, explored relationship between wall shear stress, parameter particular importance cardiovascular

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