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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i3.90
pages 399-409

Improved Semi-Lagrangian Stabilizing Correction Scheme for Shallow Water Equations

Andrei Bourchtein
Pelotas State University, Department of Mathematics, Rua Anchieta 4715 bloco K, ap.304, Pelotas 96020-250, Brazil
Ludmila Bourchtein
Pelotas State University, Department of Mathematics, Rua Anchieta 4715 bloco K, ap.304, Pelotas 96020-250, Brazil

ABSTRACT

An improved splitting method based on a stabilizing correction scheme is used for solving shallow water equations. Recently introduced by Douglas, Kim, and Lim, (Douglas, J., Kim, S., and Lim, H., Contemp. Math. 329:99-104, 2003), the technique is applied to reduce splitting errors. Accuracy and stability analysis showed that the developed scheme allows us to choose large time steps and it is more accurate when compared to the standard splitting method. The results of numerical experiments confirmed that the presented scheme has almost the same computational efficiency as the basic stabilizing correction method and continues to be accurate and stable for time steps up to 1 hr, when the primitive method fails.


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