A well-balanced high-resolution shape-preserving central scheme to solve one-dimensional sediment transport equations

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...

Full description

Saved in:
Bibliographic Details
Published inAdvances in engineering software (1992) Vol. 50; pp. 19 - 28
Main Authors Capilla, M.T., Balaguer-Beser, A.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2012
Subjects
Balanced source term
Central scheme
Computer programs
Exact C-property
Flux
High-resolution
Mathematical analysis
Preserves
Runge-Kutta method
Sediment transport
Sediment transport equations
Shallow water equations
Shape-preserving
Time integration
Balanced source term
High-resolution
Exact C-property
Sediment transport equations
Shape-preserving
Central scheme
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0965-9978
DOI:10.1016/j.advengsoft.2012.04.003