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【数学论坛】Conservative explicit local time-stepping schemes for the shallow water equations
ag平台网址:2018-04-17  浏览量:

Conservative explicit local time-stepping schemes for the shallow water equations
2018418 16:00-17:00


报告人鞠立力教授Department of Mathematics, University of South CarolinaUSA  

报告摘要: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. Extensive numerical tests are presented to illustrate the performance of the proposed algorithms.

报告人概况:鞠立力教授1995年毕业于武汉大学数学系获数学学士学位, 1998年在中国科ag平台app下载计算数学与科学工程计算研所获得计算数学硕士学位,2002年在美国爱荷华州立大学获得应用数学博士学位。2002-2004年在美国明尼苏达大学数学与应用研究所从事博士后研究。随后进入美国南卡莱罗纳大学工作,历任数学系助理教授(20048-20088),副教授(20088-201212),及正教授(20131-现在)。自2012年起兼任北京计算科学研究中心应用与计算数学实验室客座教授。主要从事数值分析,网格优化,图像处理,高性能科学计算及其在材料与地球科学中的应用等方面的研究工作。至今已发表学术论文80余篇,主持了多项由美国国家科学基金会(NSF)和美国能源部(DOE)等联邦机构资助的科研项目。2012年至2017年任数值分析领域国际重要学术期刊SIAM Journal on Numerical Analysis的编委。  



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