国家天元数学中部中心高性能计算系列报告 | 张智文(香港大学)

发布时间: 2020-12-10 11:22

报告题目:A POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows

报告人:张智文 香港大学

报告时间:2020-12-22  09:30 - 10:30

腾讯会议ID:333 312 351

报告入口:https://meeting.tencent.com/s/WnWqyicg8IEJWnWqyicg8IEJ

Abstract: The G-equation is a well-known model for studying front propagation in turbulent combustion. We develop an efficient model reduction method for computing regular solutions of viscous G-equations in incompressible steady and time-periodic cellular flows. Our method is based on the Galerkin proper orthogonal decomposition (POD) method. We also provide rigorous convergence analysis for our method. Numerical results for viscous G-equations and curvature G-equations are presented to demonstrate the accuracy and efficiency of the proposed method. In addition, we study the turbulent flame speeds of the viscous G-equations in incompressible cellular flows.