ACCURACY ASSESSMENT OF SUPER COMPACT AND COMPACT SCHEMES FOR SPATIAL DIFFERENCING OF LINEARIZED SHALLOW WATER EQUATIONS

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GHADER SARMAD; ESFAHANIAN V.

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Journal: Journal of the Earth and Space Physics Year:2007 | Volume:33 | Issue:1 Page(s): 107-118

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Title

ACCURACY ASSESSMENT OF SUPER COMPACT AND COMPACT SCHEMES FOR SPATIAL DIFFERENCING OF LINEARIZED SHALLOW WATER EQUATIONS

Author(s)

GHADER SARMAD | ESFAHANIAN V.

Keywords

SUPER COMPACT METHODQ3

COMPACT METHODQ3

NUMERICAL ACCURACYQ3

GEOSTROPHIC ADJUSTMENTQ3

ARAKAWA GRIDSQ3

Abstract

This paper is devoted to assessing the accuracy of the compact and the super-compact finite difference methods for spatial differencing of the linearized shallow water equations. The second-order centered, the fourth-order centered, the fourth-order compact, the sixth-order compact and the sixth-order super-compact schemes are used to carry out the spatial differencing of the linearized shallow water equations on Arakawa's A and C grids. For the frequency and group velocity of linear inertia gravity waves on different numerical methods, the sixth-order super-compact method shows a substantial improvement on traditional centered and compact finite difference schemes.

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APA: Copy

GHADER, SARMAD, & ESFAHANIAN, V.. (2007). ACCURACY ASSESSMENT OF SUPER COMPACT AND COMPACT SCHEMES FOR SPATIAL DIFFERENCING OF LINEARIZED SHALLOW WATER EQUATIONS. JOURNAL OF THE EARTH AND SPACE PHYSICS, 33(1), 107-118. SID. https://sid.ir/paper/80485/en

Vancouver: Copy

GHADER SARMAD, ESFAHANIAN V.. ACCURACY ASSESSMENT OF SUPER COMPACT AND COMPACT SCHEMES FOR SPATIAL DIFFERENCING OF LINEARIZED SHALLOW WATER EQUATIONS. JOURNAL OF THE EARTH AND SPACE PHYSICS[Internet]. 2007;33(1):107-118. Available from: https://sid.ir/paper/80485/en

IEEE: Copy

SARMAD GHADER, and V. ESFAHANIAN, “ACCURACY ASSESSMENT OF SUPER COMPACT AND COMPACT SCHEMES FOR SPATIAL DIFFERENCING OF LINEARIZED SHALLOW WATER EQUATIONS,” JOURNAL OF THE EARTH AND SPACE PHYSICS, vol. 33, no. 1, pp. 107–118, 2007, [Online]. Available: https://sid.ir/paper/80485/en

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