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Space–time SUPG formulation of the shallow‐water equations
Author(s) -
Takase Shinsuke,
Kashiyama Kazuo,
Tanaka Seizo,
Tezduyar Tayfun E.
Publication year - 2010
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2464
Subject(s) - context (archaeology) , shock (circulatory) , compressibility , mathematics , shallow water equations , space (punctuation) , computer science , mathematical optimization , mathematical analysis , engineering , geology , aerospace engineering , medicine , paleontology , operating system
Abstract We present a new space–time SUPG formulation of the shallow‐water equations. In this formulation, we use a stabilization parameter that was introduced for compressible flows and a new shock‐capturing parameter. In the context of two test problems, we evaluate the performance of the new shock‐capturing parameter. We also evaluate the performance of the space–time SUPG formulation compared to the semi‐discrete SUPG formulation, where the system of semi‐discrete equations is solved with the central‐difference (Crank–Nicolson) time‐integration algorithm. Copyright © 2010 John Wiley & Sons, Ltd.