Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid

作者：Ardakani H Alemi^*; Bridges T J; Turner M R

来源：Journal of Computational and Applied Mathematics, 2016, 296: 462-479.

DOI：10.1016/j.cam.2015.09.026

• Two-layer shallow-water equations
• Finite volume methods
• Wave propagation
• Sloshing

A numerical method is proposed to solve the two-layer inviscid, incompressible and immiscible 1D shallow-water equations in a moving vessel with a rigid-lid with different boundary conditions based on the high-resolution f-wave finite volume methods due to Bale et al. (2002). The method splits the jump in the fluxes and source terms including the pressure gradient at the rigid-lid into waves propagating away from each grid cell interface. For the influx-efflux boundary conditions the time dependent source terms are handled via a fractional step approach. In the linear case the numerical solutions are validated by comparison with the exact analytical solutions. Numerical solutions presented for the nonlinear case include shallow-water sloshing waves due to prescribed surge motion of the vessel.

• 出版日期2016-4