讲座题目：Mathematical Modeling and Finite Element Methods for the Blood Solute Dynamics Model
主 讲 人：Md. Abdullah Al Mahbub（Comilla University）
讲座时间：2026年5月12日上午08:50
讲座地点：钱伟长楼201会议室
欢迎有兴趣的师生前来聆听、交流。
数学与数据科学学院
2026年5月10日
讲座内容简介：
In this talk, we discuss the mathematical formulation and numerical solutions of the sophisticated blood solute dynamics model to understand the solute absorption processes by the arterial wall and the specific fluid flow behavior and mechanism in a diseased region. We try to understand the different version of blood flow models for the Newtonian and non-Newtonian flows in the lumen and arterial wall. These models utilizes the Navier-Stokes or Oldroyad-B model equations to represent blood velocity and pressure and stress in the lumen according to the nature of the fluids. On the other hand, advection-diffusion equation for the solute transport in the vascular lumen, and a pure-diffusion equation for the solute dynamics in the arterial wall, where the convection can be ignored. To capture the interfacial impact efficiently, two coupling conditions between the arterial lumen and the wall is imposed. Different kinds of finite element algorithms are used to solve the nonlinear PDE systems. Moreover, we investigate and compare the mathematical models and numerical schemes to demonstrate the proposed numerical methods' accuracy, efficiency, and validity using idealized computational geometries. After that, the models are utilized to realistic geometries to investigate velocity contour, streamline, solute concentration and pressure contour. Finally, we investigate the solute concentration on the wall and fluid, permeability and shear stress on the wall for more realistic geometries.
主讲人简介：
Md. Abdullah Al Mahbub, Ph.D., is currently working as a Professor in the Department of Mathematics, Comilla University, Bangladesh. He has research interests in Computational fluid dynamics, Numerical solution of partial differential equations (PDEs), Finite element methods, Finite difference methods, Large scale computations, Mathematical modeling and numerical approximations of the surface and subsurface flows including Navier/Stokes-Darcy models, dual-porosity-Navier/Stokes models, triple-porosity-Navier/Stokes models, fractured porous medium, Hydrocarbon reservoirs, Closed and open-loop geothermal systems, Blood solute dynamics models, Magneto-hydrodynamics (MHD), Mathematical modeling in Biology, and Dynamical systems. He has published papers in SIAM SISC, CMAME, JCP, JSC ANM, IJNME, MCS and other reputed journals.
