Meshless method for shallow water equations with free surface flow

Darbani, Mohsen; Ouahsine, Abdellatif; Villon, Pierre; Naceur, Hakim; Smaoui, Hassan

doi:10.1016/j.amc.2010.07.048

Cited by 16 publications

(2 citation statements)

References 17 publications

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“…The restriction of the present work to plane flows allows using the procedure introduced by Ruschak [22], which takes advantage of the special expression of curvature in that case κ n = dt dl (12) and leads to…”

Section: Weak Formmentioning

confidence: 99%

“…A complete literature review of the NEM is beyond this paper, but the work of Cueto et al [7] about non convex boundaries in solid mechanics and its extensions to the flows of complex fluids by Martínez et al [8] and to fluid dynamics by González et al [9] are worth noting in connection with the present work. Shallow water flows have also been simulated with the NEM by Ata et al [10], who applied the technique developed by Yvonnet et al [11] for non convex boundaries, and by Darbani et al [12]. Moreover, surface tension has been included by Defauchy et al [13] recently, for application to polymer powder sintering, but without fluid-solid contact.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Extension of the natural element method to surface tension and wettability for the simulation of polymer flows at the micro and nano scales

Teyssèdre

Pierre

2013

Journal of Non-Newtonian Fluid Mechanics

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe natural element method is used to simulate two-dimensional viscous flows where interfacial effects must be taken into account, for application to polymer melts at the micro and nano scales. The variational formulation includes surface tension on the free surfaces, a net wetting force is applied at the contact line where the fluid reaches a solid surface, and the Navier-slip condition is used along fluid-solid interfaces. No dynamic wetting angle is prescribed, and the contact angle obtained results from the other material parameters and from overall flow conditions. A comparison with an analytical solution in a simple surface tension-driven flow is given, and contact with a rigid solid is involved in the transient spreading of a droplet and in the steady movement of a meniscus between two plates.

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Section: Weak Formmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extension of the natural element method to surface tension and wettability for the simulation of polymer flows at the micro and nano scales

Teyssèdre

Pierre

2013

Journal of Non-Newtonian Fluid Mechanics

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Improved Implicit Immersed Boundary Method via Operator Splitting

Cai¹,

Ouahsine²,

Favier³

et al. 2016

Computational Methods in Applied Sciences

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2nd International Conference on Multiscale Computational Methods for Solids and Fluids, Sarajevo, BOSNIA & HERCEG, JUN 10-12, 2015International audienceWe present an implicit immersed boundary method via operator splitting technique for simulating fluid flow over moving solid with complex shape. An additional moving force equation is derived in order to impose the interface velocity condition exactly on the immersed surface. The moving force matrix is formulated to be symmetric and positive definite, thus its calculation is computational inexpensive by using the conjugate gradient method. Moreover, the proposed immersed boundary method is incorporated into the rotational incremental projection method as a plug-in. No numerical boundary layers will be generated towards the velocity and pressure during the calculation. The method is validated through various benchmark tests

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