Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid
Alemi Ardakani, H
Journal of Computational and Applied Mathematics
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.
The research reported in this paper is supported by the Engineering and Physical Sciences Research Council Grant EP/K008188/1. Due to conﬁdentiality agreements with research collaborators, supporting data can only be made available to bona ﬁde researchers subject to a non-disclosure agreement. Details of the data and how to request access are available from the University of Surrey publications repository: email@example.com
This is the author accepted manuscript. The final version is available from the publisher via the DOI in this record
Vol. 296, pp. 462 - 479