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Conservative explicit local time-stepping schemes for the shallow water equations
时间  Datetime
2018-04-15 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Prof. Lili Ju
单位  Affiliation
Department of Mathematics, University of South Carolina, USA
邀请人  Host
Jianguo Huang
报告摘要  Abstract

In this talk we present explicit local time-stepping 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 integrations are designed based on the strong stability preserving Runge-Kutta methods, but different time step sizes can be used in different regions of the domain and are only restricted by respective local CFL conditions. The proposed local time-stepping schemes preserve all important properties in the discrete sense, such as exact conservation of the mass and potential vorticity and conservation of the total energy within time-truncation errors. Various numerical examples are tested to illustrate the performance of the proposed algorithms.