Numerical investigation of vortex-induced motions of Spar platform based on large eddy simulation

Transcription

1 DOI /j.cnki.cjhd Spa,, , OpenFOAM naoe- FOAM-SJTU Spa Spa Finnigan [1,2] naoe-foam-sjtu Spa naoe-foam-sjtu U661.1 A Numeical investigation of votex-induced motions of Spa platfom based on lage eddy simulation ZHAO Wei-wen, WAN De-cheng (State Key Laboatoy of Ocean Engineeing, School of Naval Achitectue, Ocean and Civil Engineeing, Shanghai Jiao Tong Univesity, Collaboative Innovation Cente fo Advanced Ship and Deep-Sea Exploation, Shanghai , China) Abstact: This pape applies a naoe-foam-sjtu solve fo solution of ship and ocean engineeing flows based on the open souce CFD toolkit OpenFOAM to simulate the votex-induced motions of the had tank section of a Spa model. The spa VIM was simulated by using lage-eddy simulation in naoe-foam-sjtu solve at diffeent educed velocities. The numeical esults ae compaed with the esults of model tests which wee pefomed by Finnigan, et al (2007) [1,2] to evaluate the eliability of the naoe-foam-sjtu solve in VIM simulations. Key wods: spa platfom; votex-induced motions; educed velocity; lage-eddy simulation; naoe-foam-sjtu solve * : ( ) : ( )(973, 2013CB036103)( ) : (1990),,,. :, dcwan@sjtu.edu.cn Received: July 25, 2014 (Revised Novembe 3, 2014) Pojectsuppotedbyfoundations: Suppoted by the Nation Natual Science Foundation of China ( , , ), the Majo State Basic Reseach Development Plan of China (973 Pogam, 2013CB036103) and Pogam fo Pofesso of Special Appointment (Easten Schola) at Shanghai Institutions of Highe Leaning ( ) Biogaphy: ZHAO Wei-wen (1990 ), Male, Ph. D. Candidate. Coesponding autho: WAN De-cheng, dcwan@sjtu.edu.cn

2 Spa 41 u x i i 0 (1) votex-induced motions, VIM Spa Spa classic spatuss spacell spa Spa Spa computational fluid dynamics, CFD 2003 [3] Chevon Spa [4] Spa Spa 2008 [5] Spa [6,7] Tuss Spa CFD Spa OpenFOAM pimpledymfoam [8-11] [12] [13] naoe-foam-sjtu Spa 1.1 ui uu i j 1 p ui u j t xj xi x j xj x i (2) u i ij ij ( uu i j uu i j) (3) Smagoinsky 1 ij kkij 2tSij (4) 3 t S ij 2 2 C S S S S t S 1/2 ( ij ij ) CS PIMPLE PISO [14] SIMPLE PISO Navie-Stokes PIMPLE PISO 1.3 OpenFOAM Spa Laplacian [15,16] ( ku) 0 (5) k quadatic [16]

3 42 A k (6) 2 St fsd U U (3) UT D n 2.1 Finnigan 2007 [1] Finnigan Spa Spa 90 1Spa Table 1. Paametes of the Spa model (D) (H) 1.75 m 2.95 m 3, 13% D ( m) (M) 7088 kg (4) ( Amax Amin ) A/ D 2D U D Spa f s T n Spa A 2 Table 2. Reynolds numbes at diffeent educed velocities ( U ) /m s 1 ( Re) (K) (B) 2111 N/m 2.8 kg/s 1 Spa Fig.1 Spa geomety with helical stakes Spa 1: Spa [3] (1) UD Re v (2) 2 [1] Fig.2 Sping system configuation [1] 3 Fig.3 Computational gid oveall domain

4 Spa 43 U 5, 6, 7, 8, o 2 M xcx Kx F hx (7) M ycy Ky F hy (8) 4 Fig.4 Local mesh nea Spa hull M Spa C K F hx F hy B D 10 D 3 H Spa 10 D 17 D 5 D Spa Spa Spa z 2 5 Fig.5 VIM esponse at diffeent educed velocities Spa Spa

5 44 A Fig.6 Spa tajectoies at diffeent educed velocities 7 Q U 7 Fig.7 Voticity contou (Q-citeion), U 7 5a 5e 5aU 5 Spa 0.2 D 5b 5dU 6 8 U 8 8 z 2 U 6 Fig.8 Evolution of wake voticity Z at slice z 2 in one peiod, U 6

6 Spa Spa Lock-in ange 5e U 9 6 Spa Spa U 7 Spa Spa Spa 8 U 6 z 2 Spa 9 9 Spa U 6 Fig.9 Steamwise nea hull, U 6 3 CFD A * 90 o * Table 3. A fo model test and CFD simulation (heading degee 90 o ) ( U ) [2] Oakley [2] * A y/ D N * 2 2 [ ( ) ] D N i A yt y (9) 3 CFD Oakley [2] CFD CFD Spa CFD OpenFOAM naoe-foam-sjtu Spa Finnigan [1] U 5 9 Spa (1) Spa 8 (2) (3) 0.38 D Spa CFD Spa Spa

7 46 A : [1] FINNIGAN T, RODDIER D. Spa VIM model tests at supecitical eynolds numbes[c]. Poceedings of the Intenational Confeence on Offshoe Mechanics and Actic Engineeing OMAE, San Diego, Califonia, USA, [2] OAKLEY O H, CONSTANTINIDES Y. CFD tuss spa hull benchmaking study[c]. Poceedings of the Intenational Confeence on Offshoe Mechanics and Actic Engineeing OMAE, San Diego, Califonia, USA, [3] DIJK R, MAGEE A, PERRYMAN S, et al. Model test expeience on votex induced vibations of tuss spas[c]. The Offshoe Technology Confeence, Houston, Texas, USA, [4] LEFEVRE C, CONSTANTINIDES Y, KIM J W, et al. Guidelines fo CFD simulations of spa VIM[C]. Poceedings of the Intenational Confeence on Offshoe Mechanics and Actic Engineeing OMAE, Nantes, Fance, [5],,. Spa [J]., 2008, 23(3): WANG Yin, YANG Jian-min, YANG Chen-jun. Review on the study of Spa votex-induced motions key chaacteistic[j]. China Offshoe Platfom, 2008, 23(3): [6],,,. Tuss Spa [J]., 2011, 29(4): ZHANG Hui, YANG Jian-min, XIAO Long-fei, et al. Expeimental study of votex-induced motions of tuss spa in unifom cuents[j]. The Ocean Engineeing, 2011, 29(4): [7],,. RANS[J]., A, 2012, 27(6): SHEN Zhi-ong, YE Hai-xuan, WAN De-cheng. Motion esponse and added esistance of ship in head waves based on RANS simulations[j]. Chinese Jounal of Hydodynamics, 2012, 27(6): [8],. [J]. :, 2011, 41(2): MA Juan, WAN De-cheng. A numeical study of esistance and viscous flow aound typical benchmak suface ship hull[j]. Science Chinese Physica, Mechanics & Astonomy, 2011, 41(2): [9],,. [J].,A, 2013, 28(4): CAO Hong-jian, WAN De-cheng, YANG Chi. Numeical simulation of violent flow of 3-D dam-beaking wave aound squae cylinde[j]. Chinese Jounal of Hydodynamics, 2013, 28(4): [10] CAO H J, WAN D C, Development of multidiectional nonlinea numeical wave tank by naoe-foam-sjtu Solve[J]. Intenational Jounal of Ocean System Engineeing, 2014, 4(1): [11] SHEN Z R, WAN D C. RANS computations of added esistance and motions of a ship in head waves[j]. Intenational Jounal of Offshoe and Pola Engineeing, 2013, 23(4): [12] LIU Y C, WAN D C. Numeical simulation of motion esponse of an offshoe obsevation platfom in waves[j]. Jounal of Maine Science and Application, 2013, 12(1): [13] ISSA R I. Solution of the implicitly discetised fluid flow equations by opeato-splitting[j]. Jounal of Computational Physics, 1986, 62(1): [14] JASAK H, TUKOVIC Z. Automatic mesh motion fo the unstuctued finite volume method[j]. Tansactions of FAMENA, 2006, 30(2): [15] JASAK H, RUSCHE H. Dynamic mesh handling in OpenFOAM[C]. Poceeding of the 47th Aeospace Sciences Meeting Including the New Hoizons Foum and Aeospace Exposition, Olando, Floida, USA, 2009.