A Multiple-Grid Technique–Based Finite Element Solution of Free-Surface Flows in a Trapezoidal Open Channel

Author(s):  
Souad Mnassri ◽  
Ali Triki
2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Deepak Garg ◽  
Antonella Longo ◽  
Paolo Papale

This work aims to develop a numerical wave tank for viscous and inviscid flows. The Navier-Stokes equations are solved by time-discontinuous stabilized space-time finite element method. The numerical scheme tracks the free surface location using fluid velocity. A segregated algorithm is proposed to iteratively couple the fluid flow and mesh deformation problems. The numerical scheme and the developed computer code are validated over three free surface problems: solitary wave propagation, the collision between two counter moving waves, and wave damping in a viscous fluid. The benchmark tests demonstrate that the numerical approach is effective and an attractive tool for simulating viscous and inviscid free surface flows.


2006 ◽  
Vol 1 (4) ◽  
pp. 237-252 ◽  
Author(s):  
Eugenio Oñate ◽  
Miguel A. Celigueta ◽  
Sergio R. Idelsohn

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