Alemi Ardakani paper on f-wave finite-volume methods appears in JFS

thumbnail_equationsThe paper “Adaptation of f-wave finite volume methods to the Boonkasame–Milewski non-Boussinesq two-layer shallow interfacial sloshing equations coupled to the vessel motion”, sole-authored by Hamid Alemi Ardakani, has been accepted for publication in the Journal of Fluids and Structures.  In the paper f-wave finite-volume methods for the reduced two-layer inviscid, incompressible and immiscible shallow interfacial sloshing equations with a rigid-lid in the non-Boussinesq limit due to Boonkasame and Milewski (2011) are adapted to the dynamically coupled problem (see left for schematic and governing equations), and numerical results are presented for the case when the vessel motion is governed by a nonlinear spring.  Of particular interest is the partition of energy between the vessel and fluid motion. The new solvers are fast, stable, to machine accuracy, and can cover a wide range of parameters. The motivation is modelling of ocean wave energy harvesters.