Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 18, 2020 Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

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

Краткое описание

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.


Articles with similar content:

Comparison of Preconditioned Density-Based Algorithm with Pressure-Velocity Correction Algorithm for Incompressible Convection
International Heat Transfer Conference 15, Vol.36, 2014, issue
Chun Shen, Xin-Lin Xia, Feng-Xian Sun
A ROBUST MULTI-TIME SCALE METHOD FOR STIFF COMBUSTION CHEMISTRY
International Journal of Energetic Materials and Chemical Propulsion, Vol.14, 2015, issue 3
Hiroshi Terashima, Mitsuo Koshi, Youhi Morii
Toward a Nonintrusive Stochastic Multiscale Design System for Composite Materials
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 6
Jacob Fish, Wei Wu
A NOVEL HYBRID APPROACH FOR SIMPLIFIED NEUTROSOPHIC DECISION-MAKING WITH COMPLETELY UNKNOWN WEIGHT INFORMATION
International Journal for Uncertainty Quantification, Vol.8, 2018, issue 2
R?dvan Şahin, Gökçe Dilek Küçük
Pseudoprojection Estimation Algorithms Based on Approximation of Orthogonal Projection Operation
Journal of Automation and Information Sciences, Vol.52, 2020, issue 3
Oleg G. Rudenko , Alexander A. Bezsonov , Boris D. Liberol