Space-Time Transformation in Flux-form Semi-Lagrangian Schemes

Abstract

With a finite volume approach, a flux-form semi-Lagrangian (TFSL) scheme with space-time transformation was developed to provide stable and accurate algorithm in solving the advection-diffusion equation. Different from the existing flux-form semi-Lagrangian schemes, the temporal integration of the flux from the present to the next time step is transformed into a spatial integration of the flux at the side of a grid cell (space) for the present time step using the characteristic-line concept. The TFSL scheme not only keeps the good features of the semi-Lagrangian schemes (no Courant number limitation), but also has higher accuracy (of a second order in both time and space). The capability of the TFSL scheme is demonstrated by the simulation of the equatorial Rossby-soliton propagation. Computational stability and high accuracy makes this scheme useful in ocean modeling, computational fluid dynamics, and numerical weather prediction.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2010
Accession Number
ADA535083

Entities

People

  • Chenwu Fan
  • Peter Cheng Chu

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Advection
  • Algorithms
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Diffusion
  • Dynamics
  • Equations
  • Fluid Dynamics
  • Grids
  • Numerical Integration
  • Particles
  • Simulations
  • Solitons
  • Two Dimensional
  • Weather Forecasting

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space