Modelling of 2-D extended Boussinesq equations using a hybrid numerical scheme

In this paper, a hybrid finite-difference and finite-volume numerical scheme is developed to solve the 2-D Boussinesq equations. The governing equations are the extended version of Madsen and Sorensen＇s formulations. The governing equations are firstly rearranged into a conservative form. The finite...

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Bibliographic Details
Published inJournal of hydrodynamics. Series B Vol. 26; no. 2; pp. 187 - 198
Main Author 房克照 张哲 邹志利 刘忠波 孙家文
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.04.2014
Subjects
Boussinesq方程
Engineering
Engineering Fluid Dynamics
Hydrology/Water Resources
Numerical and Computational Physics
Simulation
TVD格式
建模
控制方程
数值方法
有限体积法
有限差分法
混合
Boussinesq equations
TVD
hybrid scheme
Riemann solver
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Summary:In this paper, a hybrid finite-difference and finite-volume numerical scheme is developed to solve the 2-D Boussinesq equations. The governing equations are the extended version of Madsen and Sorensen＇s formulations. The governing equations are firstly rearranged into a conservative form. The finite volume method with the HLLC Riemann solver is used to discretize the flux term while the remaining terms are discretized by using the finite difference method. The fourth order MUSCL-TVD scheme is employed to reconstruct the variables at the left and right states of the cell interface. The time marching is performed by using the explicit second-order MUSCL-Hancock scheme with the adaptive time step. The developed model is validated against various experimental measurements for wave propagation, breaking and runup on three dimensional bathymetries.
Bibliography:31-1563/T
hybrid scheme, Boussinesq equations, TVD, Riemann solver
In this paper, a hybrid finite-difference and finite-volume numerical scheme is developed to solve the 2-D Boussinesq equations. The governing equations are the extended version of Madsen and Sorensen＇s formulations. The governing equations are firstly rearranged into a conservative form. The finite volume method with the HLLC Riemann solver is used to discretize the flux term while the remaining terms are discretized by using the finite difference method. The fourth order MUSCL-TVD scheme is employed to reconstruct the variables at the left and right states of the cell interface. The time marching is performed by using the explicit second-order MUSCL-Hancock scheme with the adaptive time step. The developed model is validated against various experimental measurements for wave propagation, breaking and runup on three dimensional bathymetries.
FANG Ke-zhao , ZHANG Zhe , ZOU Zhi-li , LIU Zhong-bo （ State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China National Marine Environment Monitoring Center, State Oceanic Administration, Dalian 116023, China）
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(14)60021-4