Transformed Flux-Form Semi-Lagrangian Scheme

Abstract

Transformed flux-form semi-Lagrangian (TFSL) scheme provides stable and accurate algorithm to solve the advection-diffusion equation. Different from the existing flux-form semi- Lagrangian schemes, the flux at boundary of grid cell is treated as the temporal mean between present and next time steps. After the temporal-spatial transformation using the characteristic-line concept, the temporal integration of the flux from present to next time step becomes the spatial integration of the flux at the present time step. This scheme is always stable even for large Courant numbers (> 20) with the second order accuracy in both time and space. For the Courant number not larger than 0.5, the TFSL scheme reduces to the Lax-Wendroff scheme. The capability of the TFSL scheme is demonstrated by the simulation of the equatorial Rossby-soliton propagation.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2008
Accession Number
ADA488395

Entities

People

  • Chenwu Fan
  • Peter Cheng Chu

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Advection
  • Algorithms
  • Amplification
  • Applied Mathematics
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Equations
  • Fourier Analysis
  • Fourier Series
  • Grids
  • Longitude
  • Numerical Integration
  • Particles
  • Solitons

Readers

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

Technology Areas

  • Space