学术报告--冷伟:Conservative Explicit Local Time­stepping Schemes for the Shallow Water Equations
发布者: 刘召
发布时间:2020-11-11
浏览次数:205






Conservative Explicit Local Time­stepping Schemes for the Shallow Water Equations


要:

In this talk we present high­ order explicit local time­stepping (LTS) schemes 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 (SSP­RK) methods, but different time step sizes can be used in different regions of the domain through the coupling of coarse­fine time discretizations on the interfaces, 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 SSP­RK 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 time­stepping schemes. Extensive numerical tests are also presented to demonstrate the performance of the proposed algorithms.


报告人:冷伟,中国科学院计算数学与科学工程计算研究所副研究员

  

间:20201113周五上9:00-10:00

在线报告:腾讯会议 ID:518 105 482    密码2020


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学术报告--冷伟:Conservative Explicit Local Time­stepping Schemes for the Shallow Water Equations

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Conservative Explicit Local Time­stepping Schemes for the Shallow Water Equations


要:

In this talk we present high­ order explicit local time­stepping (LTS) schemes 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 (SSP­RK) methods, but different time step sizes can be used in different regions of the domain through the coupling of coarse­fine time discretizations on the interfaces, 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 SSP­RK 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 time­stepping schemes. Extensive numerical tests are also presented to demonstrate the performance of the proposed algorithms.


报告人:冷伟,中国科学院计算数学与科学工程计算研究所副研究员

  

间:20201113周五上9:00-10:00

在线报告:腾讯会议 ID:518 105 482    密码2020


欢迎广大师生参加!






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