Open AccessComparison of Efficient Explicit Schemes for Shallow-Water Equations—Characteristics-Based Fractional-Step Method and Multimoment Eulerian Scheme
Author(s) -
Yohsuke Imai,
Takayuki Aoki,
M. Shoucri
Publication year - 2007
Publication title -
journal of applied meteorology and climatology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.079
H-Index - 134
eISSN - 1558-8432
pISSN - 1558-8424
DOI - 10.1175/jam2474.1
Subject(s) - shallow water equations , interpolation (computer graphics) , mathematics , eulerian path , hydrostatic equilibrium , computer science , operator (biology) , scheme (mathematics) , hermite interpolation , mathematical optimization , hermite polynomials , mathematical analysis , animation , biochemistry , chemistry , physics , computer graphics (images) , repressor , lagrangian , quantum mechanics , transcription factor , gene
Two explicit schemes for the numerical solution of the shallow-water equations are examined. The directional-splitting fractional-step method permits relatively large time steps without an iterative process by using a treatment based on the characteristics of the governing equations. The interpolated differential operator (IDO) scheme has fourth-order accuracy in time and space by using a Hermite interpolation function covering local domains, and accurate results are obtained with coarse meshes. It is shown that the two schemes are very efficient for hydrostatic meteorological models from the viewpoints of numerical accuracy and central processing unit time, and the fact that they are explicit makes them suitable for computers with parallel architecture.