dc.contributor.author | Alemi Ardakani, H | |
dc.contributor.author | Bridges, TJ | |
dc.contributor.author | Turner, MR | |
dc.date.accessioned | 2018-03-02T12:07:41Z | |
dc.date.issued | 2016-04-01 | |
dc.description.abstract | 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. | en_GB |
dc.description.sponsorship | 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: researchdata@surrey.ac.uk | en_GB |
dc.identifier.citation | Vol. 296, pp. 462 - 479 | en_GB |
dc.identifier.doi | 10.1016/j.cam.2015.09.026 | |
dc.identifier.uri | http://hdl.handle.net/10871/31782 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.subject | Two-layer shallow-water equations | en_GB |
dc.subject | Finite volume methods | en_GB |
dc.subject | Wave propagation | en_GB |
dc.subject | Sloshing | en_GB |
dc.title | Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2018-03-02T12:07:41Z | |
dc.identifier.issn | 0377-0427 | |
dc.description | This is the author accepted manuscript. The final version is available from the publisher via the DOI in this record | en_GB |
dc.identifier.journal | Journal of Computational and Applied Mathematics | en_GB |