Modeling Free Surface Flows Using Stabilized Finite Element Method

Modeling Free Surface Flows Using Stabilized Finite Element Method

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...

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Main Authors: Deepak Garg, Antonella Longo, Paolo Papale
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/6154251
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spelling doaj-a5b12fd100f14251a22e29851737d83e2020-11-24T20:41:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/61542516154251Modeling Free Surface Flows Using Stabilized Finite Element MethodDeepak Garg0Antonella Longo1Paolo Papale2Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Via Uguccione della Faggiola 32, I-56126 Pisa, ItalyIstituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Via Uguccione della Faggiola 32, I-56126 Pisa, ItalyIstituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Via Uguccione della Faggiola 32, I-56126 Pisa, ItalyThis 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.http://dx.doi.org/10.1155/2018/6154251
collection DOAJ
language English
format Article
sources DOAJ
author Deepak Garg
Antonella Longo
Paolo Papale
spellingShingle Deepak Garg
Antonella Longo
Paolo Papale
Modeling Free Surface Flows Using Stabilized Finite Element Method
Mathematical Problems in Engineering
author_facet Deepak Garg
Antonella Longo
Paolo Papale
author_sort Deepak Garg
title Modeling Free Surface Flows Using Stabilized Finite Element Method
title_short Modeling Free Surface Flows Using Stabilized Finite Element Method
title_full Modeling Free Surface Flows Using Stabilized Finite Element Method
title_fullStr Modeling Free Surface Flows Using Stabilized Finite Element Method
title_full_unstemmed Modeling Free Surface Flows Using Stabilized Finite Element Method
title_sort modeling free surface flows using stabilized finite element method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/6154251
work_keys_str_mv AT deepakgarg modelingfreesurfaceflowsusingstabilizedfiniteelementmethod
AT antonellalongo modelingfreesurfaceflowsusingstabilizedfiniteelementmethod
AT paolopapale modelingfreesurfaceflowsusingstabilizedfiniteelementmethod
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