水动力学研究与进展B辑
水動力學研究與進展B輯
수동역학연구여진전B집
JOURNAL OF HYDRODYNAMICS
2014年
2期
187-198
,共12页
房克照%张哲%邹志利%刘忠波%孙家文
房剋照%張哲%鄒誌利%劉忠波%孫傢文
방극조%장철%추지리%류충파%손가문
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.
