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The combined Lagrangian advection method

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Abstract

We present and test a new hybrid numerical method for simulating layerwise-two-dimensional geophysical flows. The method radically extends the original Contour-Advective Semi-Lagrangian (CASL) algorithm [5] by combining three computational elements for the advection of general tracers (e.g. potential vorticity, water vapor, etc.): (1) a pseudo-spectral method for large scales, (2) Lagrangian contours for intermediate to small scales, and (3) Lagrangian particles for the representation of general forcing and dissipation. The pseudo-spectral method is both efficient and highly accurate at large scales, while contour advection is efficient and accurate at small scales, allowing one to simulate extremely fine-scale structure well below the basic grid scale used to represent the velocity field. The particles allow one to efficiently incorporate general forcing and dissipation. (C) 2010 Elsevier Inc. All rights reserved.

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Original languageEnglish
Pages (from-to)5408-5417
Number of pages10
JournalJournal of Computational Physics
Volume229
Issue number14
DOIs
Publication statusPublished - 20 Jul 2010

    Research areas

  • Pseudo-spectral, Contour advection, Vortex methods, Two-dimensional turbulence, GEOPHYSICAL FLOWS, CONTOUR DYNAMICS, ALGORITHM, EQUATIONS

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