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.
U2 - 10.1142/s0219876208001522
DO - 10.1142/s0219876208001522
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 -