Abstract
AbstractBoussinesq theory can model quite accurately viscous flows that involve multiple fluids with interfaces between them, so long as there is not much difference between the densities of the various fluids. However, the Boussinesq approximation is generally poor when the density ratio between the fluids is large. Here, we propose an Extended Boussinesq approximate equation, that allows for large density ratios, while still remaining straightforward to implement. Examples are given for planar Rayleigh–Taylor instability, where the Boussinesq and the novel Extended Boussinesq models are compared with the predictions of an SPH fluid dynamics code, to confirm this approach.
Publisher
Springer Science and Business Media LLC
Subject
General Engineering,General Mathematics
Reference33 articles.
1. Wehausen JV, Laitone EV (1960) Surface waves. In: Handbuch der Pysik, vol 9. Springer, Berlin, pp 446–778
2. Wackers J, Koren B, Raven HC, van der Ploeg A, Starke AR, Deng GB, Queutey P, Visonneau M, Hino T, Ohashi K (2011) Free-surface viscous flow solution methods for ship hydrodynamics. Arch Comput Methods Eng 18:1–41
3. Lamb H (1945) Hydrodynamics, 6th edn. Dover, New York
4. Forbes LK, Walters SJ, Hocking GC (2021) Ideal planar fluid flow over a submerged obstacle: review and extension. ANZIAM J 63:377–419
5. Chandrasekhar S (1961) Hydrodynamic and hydromagnetic stability. Dover, New York
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献