The combined Lagrangian advection method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Dritschel, David G.¹  Fontane, Jerome¹ 

[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland

关键词: Pseudo-spectral;    Contour advection;    Vortex methods;    Two-dimensional turbulence;   

DOI  :  10.1016/j.jcp.2010.03.048

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free