Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations
Author
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Berthon, C.
Author
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Chalons, C.
Author
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Cornet, S.
Author
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Sperone, Gianmarco
Admission date
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2016-06-29T22:01:43Z
Available date
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2016-06-29T22:01:43Z
Publication date
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2016
Cita de ítem
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Bull Braz Math Soc, New Series 47(1), 117-130 (2016)
en_US
Identifier
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1678-7544
Identifier
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DOI: 10.1007/s00574-016-0126-1
Identifier
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https://repositorio.uchile.cl/handle/2250/139286
General note
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Artículo de publicación ISI
en_US
Abstract
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The present work is focused on the numerical approximation of the shallow
water equations. When studying this problem, one faces at least two important issues,
namely the ability of the scheme to preserve the positiveness of the water depth, along
with the ability to capture the stationary states.We propose here aGodunov-typemethod
that fully satisfies the previous conditions, meaning that the method is in particular able
to preserve the steady states with non-zero velocity.