Capilla Romá, MT.; Balaguer Beser, ÁA. (2012). A well-balanced high-resolution shape-preserving central scheme to solve one-dimensional sediment transport equations. ADVANCES IN ENGINEERING SOFTWARE. 50:19-28. https://doi.org/10.1016/j.advengsoft.2012.04.003
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/30407
Title:
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A well-balanced high-resolution shape-preserving central scheme to solve one-dimensional sediment transport equations
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Author:
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Capilla Romá, Maria Teresa
Balaguer Beser, Ángel Antonio
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] We present a well-balanced high-resolution non-oscillatory central finite volume scheme for solving the
shallow water equations with a non-flat bottom topology. Time integration is obtained following a
Runge¿Kutta ...[+]
[EN] We present a well-balanced high-resolution non-oscillatory central finite volume scheme for solving the
shallow water equations with a non-flat bottom topology. Time integration is obtained following a
Runge¿Kutta procedure, coupled with its natural continuous extension. We use a central scheme with
a point value reconstruction algorithm based on average or flux values, which satisfies the monotonicity
preserving property. We apply a special treatment for the source term spatial integration, which preserves
the time and space accuracy and it results in a well-balanced scheme. Several one-dimensional
test cases are used to verify the behaviour and non-oscillatory properties of our scheme.
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Subjects:
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High-resolution
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Shape-preserving
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Central scheme
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Sediment transport equations
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Balanced source term
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Exact C-property
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Copyrigths:
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Cerrado |
Source:
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ADVANCES IN ENGINEERING SOFTWARE. (issn:
0965-9978
)
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DOI:
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10.1016/j.advengsoft.2012.04.003
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Publisher:
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ELSEVIER SCI LTD
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Publisher version:
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http://dx.doi.org/10.1016/j.advengsoft.2012.04.003
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Project ID:
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info:eu-repo/grantAgreement/MICINN//CGL2009-14220-C02-01/
info:eu-repo/grantAgreement/UPV//PAID-06-10/
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Thanks:
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Angel Balaguer thanks the support of the Spanish Ministry of Education and Science in the framework of the Project CGL2009-14220-C02-01. This work was partially funded by the "Programa de Apoyo a la Investigacion y Desarrollo" ...[+]
Angel Balaguer thanks the support of the Spanish Ministry of Education and Science in the framework of the Project CGL2009-14220-C02-01. This work was partially funded by the "Programa de Apoyo a la Investigacion y Desarrollo" (PAID-06-10) of the Polytechnic University of Valencia. We express our gratitude to the anonymous reviewers for their helpful comments.
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Type:
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Artículo
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