An Explicit Time-Difference Scheme with an Adams–Bashforth Predictor and a Trapezoidal Corrector-Reference-Cited by-同舟云学术

An Explicit Time-Difference Scheme with an Adams–Bashforth Predictor and a Trapezoidal Corrector

Published:2012-01-01 Issue:1 Volume:140 Page:307-322
ISSN:0027-0644
Container-title:Monthly Weather Review
language:en
Short-container-title:

Author:

Kar Sajal K.¹

Affiliation:

1. I. M. Systems Group, Inc., Rockville, Maryland

Abstract

Abstract A new predictor-corrector time-difference scheme that employs a second-order Adams–Bashforth scheme for the predictor and a trapezoidal scheme for the corrector is introduced. The von Neumann stability properties of the proposed Adams–Bashforth trapezoidal scheme are determined for the oscillation and friction equations. Effectiveness of the scheme is demonstrated through a number of time integrations using finite-difference numerical models of varying complexities in one and two spatial dimensions. The proposed scheme has useful implications for the fully implicit schemes currently employed in some semi-Lagrangian models of the atmosphere.

Publisher

American Meteorological Society

Subject

Atmospheric Science

Link

http://journals.ametsoc.org/mwr/article-pdf/140/1/307/4265946/mwr-d-10-05066_1.pdf

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