A wave generation toolbox for the open-source CFD library: OpenFoam

SUMMARY The open‐source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations coupled with a volume of fluid method. In this paper, it is demonstrated how this has been extended with a generic wave generation and absorpti...

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Veröffentlicht in:	International journal for numerical methods in fluids Jg. 70; H. 9; S. 1073 - 1088
Hauptverfasser:	Jacobsen, Niels G., Fuhrman, David R., Fredsøe, Jørgen
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Chichester Blackwell Publishing Ltd 30.11.2012 Wiley
Schlagworte:	Applied sciences Buildings. Public works Computational methods in fluid dynamics Exact sciences and technology finite volume Fluid dynamics free surface Fundamental areas of phenomenology (including applications) Hydraulic constructions marine hydrodynamics Navier-Stokes Physics Port facilities and coastal structures. Lighthouses and beacons turbulent flow two-phase flows Navier―Stokes Computational fluid dynamics Program library Digital simulation marine hydrodynamics turbulent flow finite volume Wave breaking Open source software Finite volume methods free surface Wave propagation two-phase flows Free surface flow Modelling Coastal structure Navier-Stokes equations
ISSN:	0271-2091, 1097-0363
Online-Zugang:	Volltext
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Abstract	SUMMARY The open‐source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations coupled with a volume of fluid method. In this paper, it is demonstrated how this has been extended with a generic wave generation and absorption method termed ‘wave relaxation zones’, on which a detailed account is given. The ability to use OpenFoam for the modelling of waves is demonstrated using two benchmark test cases, which show the ability to model wave propagation and wave breaking. Furthermore, the reflection coefficient from outlet relaxation zones is considered for a range of parameters. The toolbox is implemented in C++, and the flexibility in deriving new relaxation methods and implementing new wave theories along with other shapes of the relaxation zone is outlined. Subsequent to the publication of this paper, the toolbox has been made freely available through the OpenFoam‐Extend Community. Copyright © 2011 John Wiley & Sons, Ltd.
AbstractList	SUMMARY The open‐source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations coupled with a volume of fluid method. In this paper, it is demonstrated how this has been extended with a generic wave generation and absorption method termed ‘wave relaxation zones’, on which a detailed account is given. The ability to use OpenFoam for the modelling of waves is demonstrated using two benchmark test cases, which show the ability to model wave propagation and wave breaking. Furthermore, the reflection coefficient from outlet relaxation zones is considered for a range of parameters. The toolbox is implemented in C++, and the flexibility in deriving new relaxation methods and implementing new wave theories along with other shapes of the relaxation zone is outlined. Subsequent to the publication of this paper, the toolbox has been made freely available through the OpenFoam‐Extend Community. Copyright © 2011 John Wiley & Sons, Ltd. The open‐source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations coupled with a volume of fluid method. In this paper, it is demonstrated how this has been extended with a generic wave generation and absorption method termed ‘wave relaxation zones’, on which a detailed account is given. The ability to use OpenFoam for the modelling of waves is demonstrated using two benchmark test cases, which show the ability to model wave propagation and wave breaking. Furthermore, the reflection coefficient from outlet relaxation zones is considered for a range of parameters. The toolbox is implemented in C++, and the flexibility in deriving new relaxation methods and implementing new wave theories along with other shapes of the relaxation zone is outlined. Subsequent to the publication of this paper, the toolbox has been made freely available through the OpenFoam‐Extend Community. Copyright © 2011 John Wiley & Sons, Ltd.
Author	Fuhrman, David R. Fredsøe, Jørgen Jacobsen, Niels G.
Author_xml	– sequence: 1 givenname: Niels G. surname: Jacobsen fullname: Jacobsen, Niels G. email: Niels G. Jacobsen, Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Bygn. 403, 2800, Kgs. Lyngby, Denmark., ngja@mek.dtu.dk organization: Department of Mechanical Engineering, Technical University of Denmark, Nils KoppelsAllé, Bygn. 403, 2800, Kgs. Lyngby, Denmark – sequence: 2 givenname: David R. surname: Fuhrman fullname: Fuhrman, David R. organization: Department of Mechanical Engineering, Technical University of Denmark, Nils KoppelsAllé, Bygn. 403, 2800, Kgs. Lyngby, Denmark – sequence: 3 givenname: Jørgen surname: Fredsøe fullname: Fredsøe, Jørgen organization: Department of Mechanical Engineering, Technical University of Denmark, Nils KoppelsAllé, Bygn. 403, 2800, Kgs. Lyngby, Denmark
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References	Chapalain G, Cointe R, Temperville A. Observed and modeled resonantly interacting progressive water-waves. Coastal Engineering1992; 16(3):267-300. Ferziger JH, Peric M.Computational methods for fluid dynamics, 3rd ed.Springer: Berlin, 2002. Booij N, Ris RC, Holthuijsen LH. A third-generation wave model for coastal regions-1. Model description and validation. Journal of Geophysical Research-Oceans1999; 104(C4):7649-7666. Berberović E, Van Hinsberg NP, Jakirlić S, Roisman IV, Tropea C.Drop impact onto a liquid layer of finite thickness: dynamics of the cavity evolution. Physical Review E-Statistical, Nonlinear, and Soft Matter Physics2009; 79(3):1-15. Art.no: 036 306. Penney WG, Price AT.Part I. The diffraction theory of sea waves and the shelter afforded by breakwaters. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences1952; 244(882):236-253. Liu YM, Yue DKP.On generalized Bragg scattering of surface waves by bottom ripples. Journal of Fluid Mechanics1998; 356: 297-326. Sharma JN, Dean RG.2nd-order directional seas and associated wave-forces.Society of Petroleum Engineers Journal1981; 21(1):129-140. Bradford SF.Numerical simulation of surf zone dynamics.Journal of Waterway, Port, Coastal, and Ocean Engineering-ASCE2000; 126(1):1-13. Mayer S, Garapon A, Sørensen LS.A fractional step method for unsteady free-surface flow with applications to non-linear wave dynamics. International Journal for Numerical Methods in Fluids1998; 28(2):293-315. Harvie DJE, Fletcher DF.A new volume of fluid advection algorithm: the defined donating region scheme. International Journal for Numerical Methods in Fluids2001; 35(2):151-172. Barnet MR, Wang H.Effects of a vertical seawall on profile response. Proceeding to Coastal Engineering Conference1988; II: 1493-1507. Hirt CW, Nichols BD.Volume of fluid (VOF) method for the dynamics of free boundaries.Journal of Computational Physics1981; 39(1):201-225. Issa RI.Solution of the implicitly discretized fluid-flow equations by operator-splitting. Journal of Computational Physics1986; 62(1):40-65. Ubbink O, Issa RI.A method for capturing sharp fluid interfaces on arbitrary meshes.Journal of Computational Physics1999; 153(1):26-50. Wilcox DC.Turbulence Modeling for CFD, 3rd ed. DCW Industries: La Cañada, California, U.S.A, 2006. Lin PZ, Liu PLF.A numerical study of breaking waves in the surf zone. Journal of Fluid Mechanics1998; 359: 239-264. Mayer S, Madsen PA.Simulation of breaking waves in the surf zone using a Navier-Stokes solver.Proceeding to Coastal Engineering Conference2000; I: 928-941. Fuhrman DR, Madsen PA, Bingham HB.Numerical simulation of lowest-order short-crested wave instabilities.Journal of Fluid Mechanics2006; 563: 415-441. Liu X, Garcia MH. Three-dimensional numerical model with free water surface and mesh deformation for local sediment scour. Journal of Waterway, Port, Coastal, and Ocean Engineering-ASCE2008; 134(4):203-217. Madsen PA, Sørensen OR.Bound waves and triad interactions in shallow water. Ocean Engineering1993; 20(4):359-388. Duclos G, Clement A, Chatry G. Absorption of outgoing waves in a numerical wave tank using a self-adaptive boundary condition. International Journal of Offshore and Polar Engineering2001; 11(3):168-175. 10th International Offshore and Polar Engineering Conference (ISOPE-2000). Ting FCK, Kirby JT.Observation of undertow and turbulence in a laboratory surf zone. Coastal Engineering1994; 24(1-2):51-80. Clément A.Coupling of two absorbing boundary conditions for 2D time-domain simulations of free surface gravity waves. Journal of Computational Physics1996; 126(1):139-151. Christensen ED, Walstra DJ, Emerat N. Vertical variation of the flow across the surf zone. 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References_xml	– reference: Harvie DJE, Fletcher DF.A new volume of fluid advection algorithm: the defined donating region scheme. International Journal for Numerical Methods in Fluids2001; 35(2):151-172. – reference: Madsen PA, Sørensen OR.Bound waves and triad interactions in shallow water. Ocean Engineering1993; 20(4):359-388. – reference: Mayer S, Garapon A, Sørensen LS.A fractional step method for unsteady free-surface flow with applications to non-linear wave dynamics. International Journal for Numerical Methods in Fluids1998; 28(2):293-315. – reference: Hieu PD, Katsutoshi T, Ca VT.Numerical simulation of breaking waves using a two-phase flow model. Applied Mathematical Modelling2004; 28(11):983-1005. – reference: Duclos G, Clement A, Chatry G. Absorption of outgoing waves in a numerical wave tank using a self-adaptive boundary condition. International Journal of Offshore and Polar Engineering2001; 11(3):168-175. 10th International Offshore and Polar Engineering Conference (ISOPE-2000). – reference: Clément A.Coupling of two absorbing boundary conditions for 2D time-domain simulations of free surface gravity waves. Journal of Computational Physics1996; 126(1):139-151. – reference: Mayer S, Madsen PA.Simulation of breaking waves in the surf zone using a Navier-Stokes solver.Proceeding to Coastal Engineering Conference2000; I: 928-941. – reference: Issa RI.Solution of the implicitly discretized fluid-flow equations by operator-splitting. Journal of Computational Physics1986; 62(1):40-65. – reference: Christensen ED, Walstra DJ, Emerat N. Vertical variation of the flow across the surf zone. Coastal Engineering2002; 45(3-4):169-198. – reference: Sharma JN, Dean RG.2nd-order directional seas and associated wave-forces.Society of Petroleum Engineers Journal1981; 21(1):129-140. – reference: Wilcox DC.Turbulence Modeling for CFD, 3rd ed. DCW Industries: La Cañada, California, U.S.A, 2006. – reference: Bradford SF.Numerical simulation of surf zone dynamics.Journal of Waterway, Port, Coastal, and Ocean Engineering-ASCE2000; 126(1):1-13. – reference: Liu YM, Yue DKP.On generalized Bragg scattering of surface waves by bottom ripples. Journal of Fluid Mechanics1998; 356: 297-326. – reference: Ubbink O, Issa RI.A method for capturing sharp fluid interfaces on arbitrary meshes.Journal of Computational Physics1999; 153(1):26-50. – reference: Ferziger JH, Peric M.Computational methods for fluid dynamics, 3rd ed.Springer: Berlin, 2002. – reference: Ting FCK, Kirby JT.Observation of undertow and turbulence in a laboratory surf zone. Coastal Engineering1994; 24(1-2):51-80. – reference: Liu X, Garcia MH. Three-dimensional numerical model with free water surface and mesh deformation for local sediment scour. Journal of Waterway, Port, Coastal, and Ocean Engineering-ASCE2008; 134(4):203-217. – reference: Booij N, Ris RC, Holthuijsen LH. A third-generation wave model for coastal regions-1. Model description and validation. Journal of Geophysical Research-Oceans1999; 104(C4):7649-7666. – reference: Penney WG, Price AT.Part I. The diffraction theory of sea waves and the shelter afforded by breakwaters. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences1952; 244(882):236-253. – reference: Nichols RH, Nelson CC.Wall function boundary conditions including heat transfer and compressibility.AIAA Journal2004; 42(6):1107-1114. – reference: Barnet MR, Wang H.Effects of a vertical seawall on profile response. Proceeding to Coastal Engineering Conference1988; II: 1493-1507. – reference: Hirt CW, Nichols BD.Volume of fluid (VOF) method for the dynamics of free boundaries.Journal of Computational Physics1981; 39(1):201-225. – reference: Madsen PA, Schäffer HA. Higher-order Boussinesq-type equations for surface gravity waves: derivation and analysis. Philosophical Transactions of the Royal Society of London Series A-Mathematical, Physical and Engineering Sciences1998; 356(1749):3123-3184. – reference: Fuhrman DR, Madsen PA, Bingham HB.Numerical simulation of lowest-order short-crested wave instabilities.Journal of Fluid Mechanics2006; 563: 415-441. – reference: Berberović E, Van Hinsberg NP, Jakirlić S, Roisman IV, Tropea C.Drop impact onto a liquid layer of finite thickness: dynamics of the cavity evolution. Physical Review E-Statistical, Nonlinear, and Soft Matter Physics2009; 79(3):1-15. Art.no: 036 306. – reference: Christensen ED.Large eddy simulation of spilling and plunging breakers. Coastal Engineering2006; 53(5-6):463-485. – reference: Lin PZ, Liu PLF.A numerical study of breaking waves in the surf zone. Journal of Fluid Mechanics1998; 359: 239-264. – reference: Wilcox DC.Formulation of the k−ω turbulence model revisited.AIAA Journal2008; 46(11):2823-2838. AIAA 45th Aerospace Sciences Meeting and Exhibit, Reno, NV, 2007. – reference: Chapalain G, Cointe R, Temperville A. Observed and modeled resonantly interacting progressive water-waves. Coastal Engineering1992; 16(3):267-300. – year: 2011 – volume: 3 start-page: 1 year: 1992 end-page: 369 – volume: 35 start-page: 151 issue: 2 year: 2001 end-page: 172 article-title: A new volume of fluid advection algorithm: the defined donating region scheme publication-title: International Journal for Numerical Methods in Fluids – start-page: 1 year: 2010 end-page: 9 – volume: 79 start-page: 1 issue: 3 year: 2009 end-page: 15 article-title: Drop impact onto a liquid layer of finite thickness: dynamics of the cavity evolution publication-title: Physical Review E—Statistical, Nonlinear, and Soft Matter Physics – volume: 126 start-page: 1 issue: 1 year: 2000 end-page: 13 article-title: Numerical simulation of surf zone dynamics publication-title: Journal of Waterway, Port, Coastal, and Ocean Engineering—ASCE – volume: 244 start-page: 236 issue: 882 year: 1952 end-page: 253 article-title: Part I. The diffraction theory of sea waves and the shelter afforded by breakwaters publication-title: Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences – volume: 356 start-page: 297 year: 1998 end-page: 326 article-title: On generalized Bragg scattering of surface waves by bottom ripples publication-title: Journal of Fluid Mechanics – volume: 104 start-page: 7649 issue: C4 year: 1999 end-page: 7666 article-title: A third‐generation wave model for coastal regions—1. Model description and validation publication-title: Journal of Geophysical Research‐Oceans – year: 1996 – volume: II start-page: 1493 year: 1988 end-page: 1507 article-title: Effects of a vertical seawall on profile response publication-title: Proceeding to Coastal Engineering Conference – volume: 16 start-page: 267 issue: 3 year: 1992 end-page: 300 article-title: Observed and modeled resonantly interacting progressive water‐waves publication-title: Coastal Engineering – volume: 126 start-page: 139 issue: 1 year: 1996 end-page: 151 article-title: Coupling of two absorbing boundary conditions for 2D time‐domain simulations of free surface gravity waves publication-title: Journal of Computational Physics – volume: 563 start-page: 415 year: 2006 end-page: 441 article-title: Numerical simulation of lowest‐order short‐crested wave instabilities publication-title: Journal of Fluid Mechanics – volume: 359 start-page: 239 year: 1998 end-page: 264 article-title: A numerical study of breaking 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Snippet	SUMMARY The open‐source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations... The open‐source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations coupled...
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SubjectTerms	Applied sciences Buildings. Public works Computational methods in fluid dynamics Exact sciences and technology finite volume Fluid dynamics free surface Fundamental areas of phenomenology (including applications) Hydraulic constructions marine hydrodynamics Navier-Stokes Physics Port facilities and coastal structures. Lighthouses and beacons turbulent flow two-phase flows
Title	A wave generation toolbox for the open-source CFD library: OpenFoam
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