Shallow-water sloshing in a moving vessel with variable cross-section and wetting-drying using an extension of George's well-balanced finite volume solver
Shallow-water sloshing in a moving vessel with variable cross-section and wetting-drying using an extension of George's well-balanced finite volume solver
复制标题
DOI：
10.1016/j.jcp.2016.03.037
复制
发表时间：
2016-06
期刊：
影响因子：
--
通讯作者：
H. Ardakani;T. Bridges;M. Turner
中科院分区：
文献类型：
--
作者：
H. Ardakani;T. Bridges;M. Turner
将George(2008)[12]提出的一类增广近似Riemann求解器推广到具有变底部地形和变截面干湿两种情况下的浅水运动方程的求解。给出了平衡律系的一类Roe型迎风解算器，它考虑了定态解。用Roe型数值解对新的增广f波数值解进行了验证。将该理论推广到求解由OWEL(Offshore Wave Energy Ltd.)提出的海洋波浪能量转换器(WEC)中的浅水晃动引起的具有进出口边界条件的任意截面船舶内的浅水流动[1]。采用分步方法处理随时间变化的强迫函数。将数值解与具有时变源函数的平衡律系统的扩展新Roe型求解器进行了比较。浅水晃动有限体积求解器可与龙格-库塔积分器耦合，用于船舶运动。
A class of augmented approximate Riemann solvers due to George (2008) [12] is extended to solve the shallow-water equations in a moving vessel with variable bottom topography and variable cross-section with wetting and drying. A class of Roe-type upwind solvers for the system of balance laws is derived which respects the steady-state solutions. The numerical solutions of the new adapted augmented f-wave solvers are validated against the Roe-type solvers. The theory is extended to solve the shallow-water flows inmovingvessels with arbitrary cross-section with influx–efflux boundary conditions motivated by the shallow-water sloshing in the ocean wave energy converter (WEC) proposed by Offshore Wave Energy Ltd. (OWEL) [1]. A fractional step approach is used to handle the time-dependent forcing functions. The numerical solutions are compared to an extended new Roe-type solver for the system of balance laws with a time-dependent source function. The shallow-water sloshing finite volume solver can be coupled to a Runge–Kutta integrator for the vessel motion.