A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance (Q2460239)
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| Language | Label | Description | Also known as |
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| English | A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance |
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A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance (English)
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14 November 2007
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The goal is to propose a fourth-order numerical method for the planetary geostrophic equation with an inviscid balance equation. The authors present a fourth-order numerical method, including spatial discretization of the transport equation on a regular grid, the determination of the velocity field on a staggered grid, and the time stepping. Moreover, the fourth-order convergence analysis is provided under an appropriate regularity assumption on the exact solution.
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staggered grid
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convergence
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transport equation
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