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Modeling Free Surface Flows Using Stabilized Finite Element Method

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  • Deepak Garg
  • Antonella Longo
  • Paolo Papale

Abstract

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.

Suggested Citation

  • Deepak Garg & Antonella Longo & Paolo Papale, 2018. "Modeling Free Surface Flows Using Stabilized Finite Element Method," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, June.
    • Handle: RePEc:hin:jnlmpe:6154251
    DOI: 10.1155/2018/6154251
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