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Robust control volume finite element methods for numerical wave tanks using extreme adaptive anisotropic meshes

Via-Estrem, L., Salinas, P., Xie, Z., Xiang, J., Latham, J. P., Douglas, S., Nistora, I. and Pain, C. C. 2020. Robust control volume finite element methods for numerical wave tanks using extreme adaptive anisotropic meshes. International Journal for Numerical Methods in Fluids 10.1002/fld.4845

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Abstract

Multiphase inertia‐dominated ow simulations, and free surface ow models in particular, continue to this day to present many challenges in terms of accuracy and computational cost to industry and research communities. Numerical Wave Tanks (NWT) and their use for studying wave‐structure interactions are a good example. FEM with anisotropic meshes combined with dynamic mesh algorithms have already shown the potential to significantly reduce the number of elements and simulation time with no accuracy loss. However, mesh anisotropy can lead to mesh quality‐related instabilities. This paper presents a very robust FEM approach based on a CV discretisation of the pressure field for inertia dominated ows, which can overcome the typically encountered mesh quality limitations associated with extremely anisotropic elements. Highly compressive methods for the water‐air interface are used here. The combination of these methods is validated with multiphase free surface ow benchmark cases, showing very good agreement with experiments even for extremely anisotropic meshes, reducing by up to two orders of magnitude the required number of elements to obtain accurate solutions.

Item Type: Article
Date Type: Published Online
Status: In Press
Schools: Engineering
Publisher: Wiley
ISSN: 0271-2091
Date of Acceptance: 12 April 2020
Last Modified: 25 Jun 2020 19:37
URI: http://orca.cf.ac.uk/id/eprint/131573

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