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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:314

Article

Ardakani, Hamid Alemi¹  Bridges, Thomas J.¹  Turner, Matthew R.¹ 

[1] Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England

关键词: Shallow-water sloshing;    Hyperbolic conservation laws;    Finite-volume method;    F-wave-propagation;    Wetting and drying;    Roe solver;   

DOI  :  10.1016/j.jcp.2016.03.037

来源: Elsevier

【 摘 要 】

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 in moving vessels 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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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