A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS

Farid Boushaba; Elmiloud Chaabelasri; Najim Salhi; Imad Elmahi; Fayssal Benkhaldoun; Alistair G. L. Borthwick

A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS

Farid Boushaba, Elmiloud Chaabelasri^*, Najim Salhi, Imad Elmahi, Fayssal Benkhaldoun, Alistair G. L. Borthwick

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

This paper presents details of finite volume and finite element numerical models based on unstructured triangular meshes that are used to solve the two-dimensional nonlinear shallow water equations (SWEs). The finite volume scheme uses Roe's approximate Riemann solver to evaluate the convection terms. Second order accuracy is achieved by means of the MUSCL approach with MinMod and VanAlbada limiters. The finite element model utilizes the Lax-Wendroff two-step scheme, which is second-order in space and time. The models are validated and their relative performance compared for several benchmark problems, including a hydraulic jump, and flows in converging and converging-diverging channels.

Original language	English
Pages (from-to)	413-431
Number of pages	19
Journal	International journal of computational methods
Volume	5
Issue number	3
Publication status	Published - Sept 2008

Keywords / Materials (for Non-textual outputs)

Finite volume
finite element
shallow water
Lax-Wendroff scheme
Roe scheme
transcritical flow
SHALLOW-WATER EQUATIONS
SCHEMES
SYSTEMS
MODEL
DIFFUSION

Cite this

@article{bb11676a8e774d20b1985548563d3f00,

title = "A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS",

abstract = "This paper presents details of finite volume and finite element numerical models based on unstructured triangular meshes that are used to solve the two-dimensional nonlinear shallow water equations (SWEs). The finite volume scheme uses Roe's approximate Riemann solver to evaluate the convection terms. Second order accuracy is achieved by means of the MUSCL approach with MinMod and VanAlbada limiters. The finite element model utilizes the Lax-Wendroff two-step scheme, which is second-order in space and time. The models are validated and their relative performance compared for several benchmark problems, including a hydraulic jump, and flows in converging and converging-diverging channels.",

keywords = "Finite volume, finite element, shallow water, Lax-Wendroff scheme, Roe scheme, transcritical flow, SHALLOW-WATER EQUATIONS, SCHEMES, SYSTEMS, MODEL, DIFFUSION",

author = "Farid Boushaba and Elmiloud Chaabelasri and Najim Salhi and Imad Elmahi and Fayssal Benkhaldoun and Borthwick, {Alistair G. L.}",

year = "2008",

month = sep,

language = "English",

volume = "5",

pages = "413--431",

journal = "International journal of computational methods",

issn = "0219-8762",

publisher = "World Scientific",

number = "3",

}

TY - JOUR

T1 - A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS

AU - Boushaba, Farid

AU - Chaabelasri, Elmiloud

AU - Salhi, Najim

AU - Elmahi, Imad

AU - Benkhaldoun, Fayssal

AU - Borthwick, Alistair G. L.

PY - 2008/9

Y1 - 2008/9

N2 - This paper presents details of finite volume and finite element numerical models based on unstructured triangular meshes that are used to solve the two-dimensional nonlinear shallow water equations (SWEs). The finite volume scheme uses Roe's approximate Riemann solver to evaluate the convection terms. Second order accuracy is achieved by means of the MUSCL approach with MinMod and VanAlbada limiters. The finite element model utilizes the Lax-Wendroff two-step scheme, which is second-order in space and time. The models are validated and their relative performance compared for several benchmark problems, including a hydraulic jump, and flows in converging and converging-diverging channels.

AB - This paper presents details of finite volume and finite element numerical models based on unstructured triangular meshes that are used to solve the two-dimensional nonlinear shallow water equations (SWEs). The finite volume scheme uses Roe's approximate Riemann solver to evaluate the convection terms. Second order accuracy is achieved by means of the MUSCL approach with MinMod and VanAlbada limiters. The finite element model utilizes the Lax-Wendroff two-step scheme, which is second-order in space and time. The models are validated and their relative performance compared for several benchmark problems, including a hydraulic jump, and flows in converging and converging-diverging channels.

KW - Finite volume

KW - finite element

KW - shallow water

KW - Lax-Wendroff scheme

KW - Roe scheme

KW - transcritical flow

KW - SHALLOW-WATER EQUATIONS

KW - SCHEMES

KW - SYSTEMS

KW - MODEL

KW - DIFFUSION

M3 - Article

SN - 0219-8762

VL - 5

SP - 413

EP - 431

JO - International journal of computational methods

JF - International journal of computational methods

IS - 3

ER -

A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Fingerprint

Cite this