报告人：鞠立力教授（University of South Carolina）
时 间：2019年12月28日上午10：30-11：30
地点：华南数学应用与交叉研究中心学术报告厅111
题目：Conservative Explicit Local Time-stepping Schemes for the Shallow Water Equations
摘要：
In this talk we present explicit local time-stepping (LTS) schemes with second and third order accuracy for the shallow water equations. The system is discretized in space by a C-grid staggering method, namely the TRiSK scheme adopted in MPAS-Ocean, a global ocean model with the capability of resolving multiple resolutions within a single simulation. The time integration is designed based on the strong stability preserving Runge-Kutta (SSP-RK) methods, but different time step sizes can be used in different regions of the domain through the coupling of coarse-fine time discretizations on the interface, and are only restricted by respective local CFL conditions. The proposed LTS schemes are of predictor-corrector type in which the predictors are constructed based on Taylor series expansions and SSP-RK stepping algorithms. The schemes preserve some important physical quantities in the discrete sense, such as exact conservation of the mass and potential vorticity and conservation of the total energy within time truncation errors. Moreover, they inherit the natural parallelism of the original explicit global time-stepping schemes. Extensive numerical tests are presented to
illustrate the performance of the proposed algorithms.
报告人简介：
鞠立力教授于2002年在 Iowa State University 取得应用数学博士学位后，于2002年到2004年在 University of Minnesota 做博士后，之后在 University of South Carolina 任职至今。鞠立力教授的研究兴趣有 Numerical methods and analysis, Computational geoscience, Computational materials science, Imaging and computer vision, Deep learning and applications, High-performance computing。