DOI: 10.1002/2017MS001065
Scopus记录号: 2-s2.0-85040031267
论文题名: An Optimally Stable and Accurate Second-Order SSP Runge-Kutta IMEX Scheme for Atmospheric Applications
作者: Rokhzadi A ; , Mohammadian A ; , Charron M
刊名: Journal of Advances in Modeling Earth Systems
ISSN: 19422466
出版年: 2018
卷: 10, 期: 1 起始页码: 18
结束页码: 42
语种: 英语
英文关键词: Atmospheric thermodynamics
; Earth atmosphere
; Stability
; Atmospheric applications
; Boussinesq
; Boussinesq equations
; IMEX
; Non-hydrostatic
; Optimal scheme
; Second-order accuracy
; Strong stability preserving
; Runge Kutta methods
; accuracy assessment
; atmosphere
; compressibility
; computer simulation
; methodology
; numerical method
; optimization
; performance assessment
; reaction rate
英文摘要: The objective of this paper is to develop an optimized implicit-explicit (IMEX) Runge-Kutta scheme for atmospheric applications focusing on stability and accuracy. Following the common terminology, the proposed method is called IMEX-SSP2(2,3,2), as it has second-order accuracy and is composed of diagonally implicit two-stage and explicit three-stage parts. This scheme enjoys the Strong Stability Preserving (SSP) property for both parts. This new scheme is applied to nonhydrostatic compressible Boussinesq equations in two different arrangements, including (i) semiimplicit and (ii) Horizontally Explicit-Vertically Implicit (HEVI) forms. The new scheme preserves the SSP property for larger regions of absolute monotonicity compared to the well-studied scheme in the same class. In addition, numerical tests confirm that the IMEX-SSP2(2,3,2) improves the maximum stable time step as well as the level of accuracy and computational cost compared to other schemes in the same class. It is demonstrated that the A-stability property as well as satisfying “second-stage order” and stiffly accurate conditions lead the proposed scheme to better performance than existing schemes for the applications examined herein. © 2017. The Authors. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/75671
Appears in Collections: 影响、适应和脆弱性 气候变化与战略
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作者单位: Department of Civil Engineering, University of Ottawa, Ottawa, ON, Canada; Atmospheric Numerical Weather Prediction Research Division, Environment Canada, Montreal, QC, Canada
Recommended Citation:
Rokhzadi A,, Mohammadian A,, Charron M. An Optimally Stable and Accurate Second-Order SSP Runge-Kutta IMEX Scheme for Atmospheric Applications[J]. Journal of Advances in Modeling Earth Systems,2018-01-01,10(1)