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Erschienen in: Computational Mechanics 6/2013

01.12.2013 | Original Paper

Finite element computation and experimental validation of sloshing in rectangular tanks

verfasst von: Marcela A. Cruchaga, Ricardo S. Reinoso, Mario A. Storti, Diego J. Celentano, Tayfun E. Tezduyar

Erschienen in: Computational Mechanics | Ausgabe 6/2013

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Abstract

Finite element computation and experimental validation of sloshing in rectangular tanks near the primary and secondary resonance modes are presented. In particular, 2D free-surface evolution is studied. The computational analysis is based on solving the Navier-Stokes equations of incompressible flows with a monolithic solver that includes a stabilized formulation and a Lagrangian tracking technique for updating the free surface. The time-dependent behavior of the numerical and experimental wave heights at different control points are compared, where the experimental data is collected using ultrasonic sensors and a shake table that controls the motion of the rectangular container.

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Literatur
1.
Zurück zum Zitat Faltinsen O, Rognebakke O, Lukovsky I, Timokha A (2000) Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J Fluid Mech 407:201–234MathSciNetCrossRefMATH Faltinsen O, Rognebakke O, Lukovsky I, Timokha A (2000) Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J Fluid Mech 407:201–234MathSciNetCrossRefMATH
2.
Zurück zum Zitat Faltinsen O, Rognebakke O, Timokha A (2005) Resonant three-dimensional nonlinear sloshing in a square-base basin. part 2. effect of higher modes. J Fluid Mech 523(1):199–218MathSciNetCrossRefMATH Faltinsen O, Rognebakke O, Timokha A (2005) Resonant three-dimensional nonlinear sloshing in a square-base basin. part 2. effect of higher modes. J Fluid Mech 523(1):199–218MathSciNetCrossRefMATH
3.
Zurück zum Zitat Faltinsen O, Timokha A (2010) A multimodal method for liquid sloshing in a two-dimensional circular tank. J Fluid Mech 665:457–479MathSciNetCrossRefMATH Faltinsen O, Timokha A (2010) A multimodal method for liquid sloshing in a two-dimensional circular tank. J Fluid Mech 665:457–479MathSciNetCrossRefMATH
4.
Zurück zum Zitat Hughes T, Liu W, Zimmermann T (1981) Lagrangian–Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29:329–349MathSciNetCrossRefMATH Hughes T, Liu W, Zimmermann T (1981) Lagrangian–Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29:329–349MathSciNetCrossRefMATH
5.
Zurück zum Zitat Huerta A, Liu W (1988) Viscous flow with large free surface motion. Comput Methods Appl Mech Eng 69(3):277–324CrossRefMATH Huerta A, Liu W (1988) Viscous flow with large free surface motion. Comput Methods Appl Mech Eng 69(3):277–324CrossRefMATH
6.
Zurück zum Zitat Tezduyar T, Behr M, Liou J (1992) A New strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests. Comput Methods Appl Mech Eng 94:339–351MathSciNetCrossRefMATH Tezduyar T, Behr M, Liou J (1992) A New strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests. Comput Methods Appl Mech Eng 94:339–351MathSciNetCrossRefMATH
7.
Zurück zum Zitat Tezduyar T, Behr M, Mittal S, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Comput Methods Appl Mech Eng 94:353–371MathSciNetCrossRefMATH Tezduyar T, Behr M, Mittal S, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Comput Methods Appl Mech Eng 94:353–371MathSciNetCrossRefMATH
8.
Zurück zum Zitat Tezduyar T, Aliabadi S, Behr M, Johnson A, Mittal S (1993) Parallel finite element computation of 3D flows. Computer 26: 27–36CrossRef Tezduyar T, Aliabadi S, Behr M, Johnson A, Mittal S (1993) Parallel finite element computation of 3D flows. Computer 26: 27–36CrossRef
9.
Zurück zum Zitat Tezduyar T, Aliabadi S, Behr M, Mittal S (1994) Massively parallel finite element simulation of compressible and incompressible flows. Comput Methods Appl Mech Eng 119:157–177CrossRefMATH Tezduyar T, Aliabadi S, Behr M, Mittal S (1994) Massively parallel finite element simulation of compressible and incompressible flows. Comput Methods Appl Mech Eng 119:157–177CrossRefMATH
10.
Zurück zum Zitat Battaglia L, D’Elía J, Storti M (2011) Simulación numérica de la agitación en tanques de almacenamiento de líquidos mediante una estrategia lagrangiana euleriana arbitraria. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 28(2):124–134CrossRef Battaglia L, D’Elía J, Storti M (2011) Simulación numérica de la agitación en tanques de almacenamiento de líquidos mediante una estrategia lagrangiana euleriana arbitraria. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 28(2):124–134CrossRef
11.
Zurück zum Zitat Tezduyar T, Aliabadi S, Behr M (1998) Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces. Comput Methods Appl Mech Eng 155:235–248CrossRefMATH Tezduyar T, Aliabadi S, Behr M (1998) Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces. Comput Methods Appl Mech Eng 155:235–248CrossRefMATH
12.
Zurück zum Zitat Aliabadi S, Tezduyar T (2000) Stabilized-finite-element/interface-capturing technique for parallel computation of unsteady flows with interfaces. Comput Methods Appl Mech Eng 190:243–261CrossRefMATH Aliabadi S, Tezduyar T (2000) Stabilized-finite-element/interface-capturing technique for parallel computation of unsteady flows with interfaces. Comput Methods Appl Mech Eng 190:243–261CrossRefMATH
13.
Zurück zum Zitat Tezduyar T, Aliabadi S (2000) EDICT for 3D computation of two-fluid interfaces. Comput Methods Appl Mech Eng 190: 403–410CrossRefMATH Tezduyar T, Aliabadi S (2000) EDICT for 3D computation of two-fluid interfaces. Comput Methods Appl Mech Eng 190: 403–410CrossRefMATH
14.
Zurück zum Zitat Akyildız H, Erdem Ünal N (2006) Sloshing in a three-dimensional rectangular tank: numerical simulation and experimental validation. Ocean Eng 33(16):2135–2149CrossRef Akyildız H, Erdem Ünal N (2006) Sloshing in a three-dimensional rectangular tank: numerical simulation and experimental validation. Ocean Eng 33(16):2135–2149CrossRef
15.
Zurück zum Zitat Liu D, Lin P (2008) A numerical study of three-dimensional liquid sloshing in tanks. J Comput Phys 227(8):3921–3939CrossRefMATH Liu D, Lin P (2008) A numerical study of three-dimensional liquid sloshing in tanks. J Comput Phys 227(8):3921–3939CrossRefMATH
16.
Zurück zum Zitat Löhner R, Yang C, Oñate E (2006) Simulation of flows with violent free surface motion and moving objects using unstructured grids. Int J Numer Methods Fluids 53(8):1315–1338 Löhner R, Yang C, Oñate E (2006) Simulation of flows with violent free surface motion and moving objects using unstructured grids. Int J Numer Methods Fluids 53(8):1315–1338
17.
Zurück zum Zitat Virella J, Prato C, Godoy L (2008) Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions. J Sound Vib 312(3):442–460CrossRef Virella J, Prato C, Godoy L (2008) Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions. J Sound Vib 312(3):442–460CrossRef
18.
Zurück zum Zitat Tezduyar T (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Comput Methods Eng 8:83–130CrossRefMATH Tezduyar T (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Comput Methods Eng 8:83–130CrossRefMATH
19.
Zurück zum Zitat Tezduyar T (2006) Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces. Comput Methods Appl Mech Eng 195:2983– 3000MathSciNetCrossRefMATH Tezduyar T (2006) Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces. Comput Methods Appl Mech Eng 195:2983– 3000MathSciNetCrossRefMATH
20.
Zurück zum Zitat Cruchaga M, Celentano D, Tezduyar T (2005) Moving-interface computations with the edge-tracked interface locator technique (ETILT). Int J Numer Methods Fluids 47:451–469CrossRefMATH Cruchaga M, Celentano D, Tezduyar T (2005) Moving-interface computations with the edge-tracked interface locator technique (ETILT). Int J Numer Methods Fluids 47:451–469CrossRefMATH
21.
Zurück zum Zitat Akin J, Tezduyar T, Ungor M (2007) Computation of flow problems with the mixed interface-tracking interface-capturing technique (MITICT). Comput Fluids 36:2–11CrossRefMATH Akin J, Tezduyar T, Ungor M (2007) Computation of flow problems with the mixed interface-tracking interface-capturing technique (MITICT). Comput Fluids 36:2–11CrossRefMATH
22.
Zurück zum Zitat Cruchaga M, Celentano D, Tezduyar T (2007) A numerical model based on the mixed interface-tracking/interface capturing technique (MITICT) for flows with fluid–solid and fluid–fluid interfaces. Int J Numer Methods Fluids 54(6):1021–1030CrossRefMATH Cruchaga M, Celentano D, Tezduyar T (2007) A numerical model based on the mixed interface-tracking/interface capturing technique (MITICT) for flows with fluid–solid and fluid–fluid interfaces. Int J Numer Methods Fluids 54(6):1021–1030CrossRefMATH
23.
Zurück zum Zitat Cruchaga M, Celentano D, Tezduyar T (2007) Collapse of a liquid column: numerical simulation and experimental validation. Comput Mech 39(4):453–476CrossRefMATH Cruchaga M, Celentano D, Tezduyar T (2007) Collapse of a liquid column: numerical simulation and experimental validation. Comput Mech 39(4):453–476CrossRefMATH
24.
Zurück zum Zitat Cruchaga M, Muñoz C, Celentano D (2008) Simulation and experimental validation of the motion of immersed rigid bodies in viscous flows. Comput Methods Appl Mech Eng 197(33–40):2823–2835CrossRefMATH Cruchaga M, Muñoz C, Celentano D (2008) Simulation and experimental validation of the motion of immersed rigid bodies in viscous flows. Comput Methods Appl Mech Eng 197(33–40):2823–2835CrossRefMATH
25.
Zurück zum Zitat Cruchaga M, Löhner R, Celentano D (2012) Spheres falling into viscous flows: experimental and numerical analysis. Int J Numer Methods Fluid 69(9):1496–1521CrossRef Cruchaga M, Löhner R, Celentano D (2012) Spheres falling into viscous flows: experimental and numerical analysis. Int J Numer Methods Fluid 69(9):1496–1521CrossRef
26.
Zurück zum Zitat Battaglia L, Storti M, D’Elía J (2010) Simulation of free-surface flows by a finite element interface capturing technique. Int J Comput Fluid Dyn 24(3–4):121–133MathSciNetCrossRefMATH Battaglia L, Storti M, D’Elía J (2010) Simulation of free-surface flows by a finite element interface capturing technique. Int J Comput Fluid Dyn 24(3–4):121–133MathSciNetCrossRefMATH
27.
Zurück zum Zitat Battaglia L, Storti M, D’Elía J (2010) Bounded renormalization with continuous penalization for level set interface-capturing methods. Int J Numer Methods Eng 84(7):830–848CrossRefMATH Battaglia L, Storti M, D’Elía J (2010) Bounded renormalization with continuous penalization for level set interface-capturing methods. Int J Numer Methods Eng 84(7):830–848CrossRefMATH
28.
Zurück zum Zitat Ausas R, Dari E, Buscaglia G (2011) A geometric mass-preserving redistancing scheme for the level set function. Int J Numer Methods Fluids 65(8):989–1010CrossRefMATH Ausas R, Dari E, Buscaglia G (2011) A geometric mass-preserving redistancing scheme for the level set function. Int J Numer Methods Fluids 65(8):989–1010CrossRefMATH
29.
Zurück zum Zitat Ausas R, Buscaglia G, Idelsohn S (2012) A new enrichment space for the treatment of discontinuous pressures in multi-fluid flows. Int J Numer Methods Fluids 70(7):829–850MathSciNetCrossRef Ausas R, Buscaglia G, Idelsohn S (2012) A new enrichment space for the treatment of discontinuous pressures in multi-fluid flows. Int J Numer Methods Fluids 70(7):829–850MathSciNetCrossRef
30.
Zurück zum Zitat Coppola-Owen A, Codina R (2005) Improving Eulerian two-phase flow finite element approximation with discontinuous gradient pressure shape functions. Int J Numer Methods Fluids 49(12):1287–1304MathSciNetCrossRefMATH Coppola-Owen A, Codina R (2005) Improving Eulerian two-phase flow finite element approximation with discontinuous gradient pressure shape functions. Int J Numer Methods Fluids 49(12):1287–1304MathSciNetCrossRefMATH
31.
Zurück zum Zitat Cruchaga M, Celentano D, Tezduyar T (2001) A moving Lagrangian interface technique for flow computations over fixed meshes. Comput Methods Appl Mech Eng 191(6):525–543CrossRefMATH Cruchaga M, Celentano D, Tezduyar T (2001) A moving Lagrangian interface technique for flow computations over fixed meshes. Comput Methods Appl Mech Eng 191(6):525–543CrossRefMATH
32.
Zurück zum Zitat Cruchaga M, Celentano D, Breitkopf P, Villon P, Rassineux A (2006) A front remeshing technique for a Lagrangian description of moving interfaces in two-fluid flows. Int J Numer Methods Eng 66(13):2035–2063CrossRefMATH Cruchaga M, Celentano D, Breitkopf P, Villon P, Rassineux A (2006) A front remeshing technique for a Lagrangian description of moving interfaces in two-fluid flows. Int J Numer Methods Eng 66(13):2035–2063CrossRefMATH
33.
Zurück zum Zitat Cruchaga M, Celentano D, Breitkopf P, Villon P, Rassineux A (2010) A surface remeshing technique for a Lagrangian description of 3d two-fluid flow problems. Int J Numer Methods Fluids 63(4):415–430MATH Cruchaga M, Celentano D, Breitkopf P, Villon P, Rassineux A (2010) A surface remeshing technique for a Lagrangian description of 3d two-fluid flow problems. Int J Numer Methods Fluids 63(4):415–430MATH
34.
Zurück zum Zitat Idelsohn R, Storti M, Oñate E (2001) Lagrangian formulations to solve free surface incompressible inviscid fluid flows. Comput Methods Appl Mech Eng 191(6):583–593CrossRefMATH Idelsohn R, Storti M, Oñate E (2001) Lagrangian formulations to solve free surface incompressible inviscid fluid flows. Comput Methods Appl Mech Eng 191(6):583–593CrossRefMATH
35.
Zurück zum Zitat Idelsohn S, Oñate E, Del Pin F, Calvo N (2006) Fluid-structure interaction using the particle finite element method. Comput Methods Appl Mech Eng 195(17):2100–2123CrossRefMATH Idelsohn S, Oñate E, Del Pin F, Calvo N (2006) Fluid-structure interaction using the particle finite element method. Comput Methods Appl Mech Eng 195(17):2100–2123CrossRefMATH
36.
Zurück zum Zitat Takizawa K, Yabe T, Tsugawa Y, Tezduyar T, Mizoe H (2007) Computation of free-surface flows and fluid-object interactions with the cip method based on adaptive meshless soroban grids. Comput Mech 40:167–183CrossRefMATH Takizawa K, Yabe T, Tsugawa Y, Tezduyar T, Mizoe H (2007) Computation of free-surface flows and fluid-object interactions with the cip method based on adaptive meshless soroban grids. Comput Mech 40:167–183CrossRefMATH
37.
Zurück zum Zitat Yabe T, Takizawa K, Tezduyar T, Im H (2007) Computation of fluid–solid and fluid–fluid interfaces with the cip method based on adaptive soroban grids—an overview. Int J Numer Methods Fluids 54:841–853MathSciNetCrossRefMATH Yabe T, Takizawa K, Tezduyar T, Im H (2007) Computation of fluid–solid and fluid–fluid interfaces with the cip method based on adaptive soroban grids—an overview. Int J Numer Methods Fluids 54:841–853MathSciNetCrossRefMATH
38.
Zurück zum Zitat Takizawa K, Tanizawa K, Yabe T, Tezduyar T (2007) Ship hydrodynamics computations with the CIP method based on adaptive soroban grids. Int J Numer Methods Fluids 54:1011–1019CrossRefMATH Takizawa K, Tanizawa K, Yabe T, Tezduyar T (2007) Ship hydrodynamics computations with the CIP method based on adaptive soroban grids. Int J Numer Methods Fluids 54:1011–1019CrossRefMATH
39.
Zurück zum Zitat Quanser (2013) STII Manual. On line access:www.quanser.com. Quanser (2013) STII Manual. On line access:www.quanser.com.
40.
Zurück zum Zitat Cruchaga M, Oñate E (1997) A finite element formulation for incompressible flow problems using a generalized streamline operator. Comput Methods Appl Mech Eng 143(1):49–67CrossRefMATH Cruchaga M, Oñate E (1997) A finite element formulation for incompressible flow problems using a generalized streamline operator. Comput Methods Appl Mech Eng 143(1):49–67CrossRefMATH
41.
Zurück zum Zitat Tezduyar T, Park Y (1986) Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction equations. Comput Methods Appl Mech Eng 59:307–325CrossRefMATH Tezduyar T, Park Y (1986) Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction equations. Comput Methods Appl Mech Eng 59:307–325CrossRefMATH
42.
Zurück zum Zitat Tezduyar T (2003) Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43:555–575MathSciNetCrossRefMATH Tezduyar T (2003) Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43:555–575MathSciNetCrossRefMATH
43.
Zurück zum Zitat Cruchaga M, Celentano D, Tezduyar T (2009) Computational modeling of the collapse of a liquid column over an obstacle and experimental validation. J Appl Mech 76:021202CrossRef Cruchaga M, Celentano D, Tezduyar T (2009) Computational modeling of the collapse of a liquid column over an obstacle and experimental validation. J Appl Mech 76:021202CrossRef
44.
Zurück zum Zitat Rispoli F, Corsini A, Tezduyar T (2007) Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD). Comput Fluids 36:121–126 Rispoli F, Corsini A, Tezduyar T (2007) Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD). Comput Fluids 36:121–126
45.
Zurück zum Zitat Corsini A, Rispoli F, Santoriello A, Tezduyar T (2006) Improved discontinuity-capturing finite element techniques for reaction effects in turbulence computation. Comput Mech 38:356–364 Corsini A, Rispoli F, Santoriello A, Tezduyar T (2006) Improved discontinuity-capturing finite element techniques for reaction effects in turbulence computation. Comput Mech 38:356–364
46.
Zurück zum Zitat Corsini A, Rispoli F, Sheard A, Tezduyar T (2012) Computational analysis of noise reduction devices in axial fans with stabilized finite element formulations. Comput Mech 50:695–705MathSciNetCrossRefMATH Corsini A, Rispoli F, Sheard A, Tezduyar T (2012) Computational analysis of noise reduction devices in axial fans with stabilized finite element formulations. Comput Mech 50:695–705MathSciNetCrossRefMATH
Metadaten
Titel
Finite element computation and experimental validation of sloshing in rectangular tanks
verfasst von
Marcela A. Cruchaga
Ricardo S. Reinoso
Mario A. Storti
Diego J. Celentano
Tayfun E. Tezduyar
Publikationsdatum
01.12.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2013
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0877-0

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