A mixed Lagrangian–Eulerian method for non-linear free surface flows using multigrid on hierarchical Cartesian grids

This article describes a two-dimensional finite difference method for the numerical simulation of fully non-linear irrotational water waves. The computational domain is discretised in an Eulerian fashion using hierarchical Cartesian meshes, whilst the free surface location is explicitly tracked usin...

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Veröffentlicht in:Computers & fluids Jg. 36; H. 5; S. 914 - 923
Hauptverfasser: Silva Santos, Carlos M.P., Greaves, Deborah M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Elsevier Ltd 01.06.2007
Elsevier Science
Schlagworte:
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Physics
Euler Lagrange equation
Wave propagation
Multigrid
Digital simulation
Free surface flow
Modelling
Mesh generation
Hierarchized structure
Liquid sloshing
Cartesian coordinates
Finite difference method
Non linear wave
ISSN:0045-7930, 1879-0747
Online-Zugang:Volltext
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Zusammenfassung:This article describes a two-dimensional finite difference method for the numerical simulation of fully non-linear irrotational water waves. The computational domain is discretised in an Eulerian fashion using hierarchical Cartesian meshes, whilst the free surface location is explicitly tracked using a Lagrangian approach. The accuracy of the method is strongly dependent on the quality of the approximation to the free surface velocities and a novel method to compute these is proposed. A multigrid strategy is implemented to take advantage of the hierarchical nature of the grids, incorporating an efficient technique to generate the coarser grids. The method is verified through simulations of quasi-linear low-amplitude waves and through a comparative study using an asymmetric sloshing wave. The non-linear behaviour of waves of moderate amplitude is also simulated.
Bibliographie:ObjectType-Article-2
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ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2006.08.004