Speaker: Lin Zeng, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences

Time: 10:15-11:15 a.m., Sep 10, 2024, GMT+8

Venue: Rm. 225, Siyuan Hall, Zhihua Building, PKU

Abstract: 

In this talk, I will present a highly parallel method for the incompressible Navier-Stokes and Darcy equations for the simulation of the blood flows in the full three-dimensional patient-specific human liver, which include hepatic artery, portal vein, hepatic vein and hepatic tissue. To compute the blood flows, a scalable parallel method is used to implicitly solve the unsteady incompressible Navier-Stokes and Darcy equations discretized with a stabilized finite element method on fully unstructured meshes. The parallel algebraic solver includes an Newton method, a Krylov subspace method (GMRES) and an overlapping Schwarz preconditioner. As applications, I also simulate the flow in a patient with hepatectomy and calculate the Portal Pressure Gradient (PPG)， where PPG is a gold standard value to assess the portal hypertension. Moreover, the robustness and scalability of the algorithm are also investigated. A 83% parallel efficiency is achieved for solving a problem with 7 million elements on a supercomputer with more than 1000 processor cores.

Source: School of Mathematical Sciences, PKU