Numerical Study of Wave Run-up around Offshore Structure in Waves

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1 Journal of Advanced Research n Ocean Engneerng Journal of Advanced Research n Ocean Engneerng 2(2) (2016) Numercal Study of Wave Run-up around Offshore Structure n Waves Kyung-Jung Cha 1, Jae-Hwan Jung 1, Hyun-Sk Yoon 2, Ho-Hwan Chun 1, and Bon-Guk Koo 3 1 Department of Naval Archtecture and Ocean Engneerng, Pusan Natonal Unversty, Busan, Republc of Korea 2 Global Core Research Center for Shps and Offshore Plants, Pusan Natonal Unversty, Busan, Republc of Korea 3 Department of Naval Archtecture and Marne Engneerng, Changwon Natonal Unversty, Changwon, Republc of Korea (Manuscrpt Receved March ; Revsed Aprl 25, 2016; Accepted May 29, 2016) Abstract Ths study presents the wave run-up heght and depresson depth around offshore cylndrcal structures accordng to the wave perod. The present study employs the volume of flud method wth the realzable turbulence model based on a commercal computatonal flud dynamcs software called the STAR-CCM+ to smulate a 3D ncompressble vscous two-phase turbulent flow. The present results for the wave run-up heght and depresson depth wth regard to the wave perod are compared wth those of the relevant prevous expermental and numercal studes. Keywords: Wave run-up, Offshore cylndrcal structure, Volume of flud 1. Introducton Offshore cylndrcal structures are greatly affected by the marne envronment, such as wave, tdal current, and wnd. The wave-generated fludc load has a crucal effect on structural safety. Accordngly, the grasp of the structural safety of the offshore cylndrcal structure n extreme envronmental condtons has been ncreasng. Wave run-up and ar gap are actng as mportant desgn parameters n the feld of offshore plant, for whch a numercal analyss s actvely performed (Lee et al., 2013; Nam et al., 2013). Ths study performs a calculaton for the wave run-up phenomenon actng on a crcular cylnder, whch s the general form of the offshore structure columns. Three condtons among the benchmark study condtons for a sngle crcular cylnder mplemented n the 27th ITTC Ocean Engneerng Commttee (OEC) were selected (27th ITTC Proc., 2014) to analyze the characterstcs of the wave run-up dependng on the change n the wave heght n a certan ncdent wave cycle. Table 1 shows the specfcaton of the model cylnder wth a scale rato of Fgure 1 and Table 2 llustrate the wave probe poston. The startng pont of the coordnate system (x, y) heren s set to be smlar to the center poston of the crcular cylnder. The numercal analyss technque consdered n ths study * Correspondng author. Tel.: E-mal address: bonguk9@changwon.ac.kr Copyrght KSOE 2016.

2 62 Kyung-Jung Cha, Jae-Hwan Jung, Hyun-Sk Yoon, Ho-Hwan Chun, and Bon-Guk Koo Table 1 Prncpal partculars of the sngle crcular cylnder Dameter [m] Draft [m] Model Table 2 Coordnate system of the wave probes X [m] Y [m] X [m] WPB# WPO# WPB# WPO# Model WPB# WPO# WPB# WPO# WPB# WPO# was verfed by comparng the data wth the test result of the Korean Research Insttute of Shps and Ocean Engneerng. The wave run-up phenomenon, whch vares dependng on the wave condton, was analyzed based on the verfed numercal analyss technque (Sung et al., 2007). 2. Numercal Analyss Method 2.1 Governng Equaton and Numercal Analyss Method Ths study numercally analyzes the wave run-up actng on a sngle crcular cylnder by usng Star-CCM+, whch s a wdely used program based on the fnte volume method. The governng equaton consdered n ths study was the mass and momentum conservaton equaton of a 3D unsteady ncompressble flud. The contnuty equaton of whch s shown n Eq. (1). The Reynolds-averaged Naver Stokes equaton used to analyze the turbulent flow s presented n Eq. (2). u x = 0 (1) Fg. 1 Wave probe placement on and around the cylnder

3 Kyung-Jung Cha, Jae-Hwan Jung, Hyun-Sk Yoon, Ho-Hwan Chun, and Bon-Guk Koo 63 ( ru ) ( ruu j ) é æ u u ö j æ 2 u öù p æ ö + = êm + - ç m ú - + ç - ru u j + rg t x j x j ê ç x j x 3 x x x ë è ø è øúû è ø (2) In the equaton, represents the flud densty; denotes tme; s the flud speed; denotes the pressure; s the flud vscosty coeffcent; and represents the gravty acceleraton. n Eq. (2) s the Reynolds stress term, whch was analyzed usng a realzable turbulent flow model n ths study. The partally flled flud was consdered as a two-phase flud wth phases dfferent from each other. The volume of flud technque was used to trace the flud nterface. More detals on the abovementoned numercal analyss method can be found on the Star-CCM+ user gude. 2.2 Analyss Model and Grd System Constructon Fgure 3 shows the numercal analyss doman and the boundary condton. Fgure 3 llustrates the grd system constructon. The structure was nstalled at poston 1λ, away from the nlet sde. The outlet sde was at poston 4λ away from the structure. The dampng technque was appled from poston 2λ, away from the back of the structure. The dstrbuton of the grd numbers per wavelength and wave heght was selected consderng the aspect rato (longtudnal grd sze/perpendcular grd sze) and mnmzaton of numercal dampng. About 150 grds per wavelength and 20 per wave heght were appled (Km and Lee, 2014). Fg. 2 Computatonal doman Fg. 3 Grd system

4 64 Kyung-Jung Cha, Jae-Hwan Jung, Hyun-Sk Yoon, Ho-Hwan Chun, and Bon-Guk Koo Table 3 Wave condtons for the model cylnder T = 7 s Case T07S130 = 1/30 [m] [m] Case T07S116 = 1/16 [m] [m] Case T07S110 = 1/10 [m] [m] Incdent Wave Condtons The ncdent wave condtons were consdered by selectng three condtons among the benchmark study condtons mplemented n the 27th ITTC OEC (Table 3). 2.4 Verfcaton of the Numercal Analyss Technque Fgure 4 shows a comparson of the results of ths study and those of the test on the wave heght gauge poston and the change n the free water surface heght wth tme under the T07SI30 condton. The wave heght was measured 10 cycles after the wave was stablzed. Fgures 4(a) and (b) show the free water surface heghts measured at two ponts n front of the ncdent wave. Fgure 4(c) shows the free water surface heght measured n the shoulder part of the cylnder. The result of ths numercal analyss well reproduces the free water surface heght and the cycle change as a whole, rrespectve of the poston, where the wave heght s measured. 3. Analyss Result 3.1 Comparson of the Wave Run-up n the Surroundngs of the Structure Dependng on the Wave Heght Change The wave run-up characterstcs were analyzed for the three condtons, wth dfferent wave heghts under a constant cycle. Table 4 shows the results. We checked the wave run-up characterstcs by consderng the maxmum wave heght measured usng the wave heght gauge WPB #1. Consequently, we confrm that the wave run-up ncreases together wth wave heght ncrease when the wave cycle s the same. Table 4 Comparson of the results at the hghest wave run-up Condton Wave probe Wave run-up [m] T07S130 WPB # T07S116 WPB # T07S110 WPB #

5 Kyung-Jung Cha, Jae-Hwan Jung, Hyun-Sk Yoon, Ho-Hwan Chun, and Bon-Guk Koo 65 (a) (b) (c) Fg. 4 Comparson of the present results wth the expermental data: (a) WPB #1, (b) WPO #1, and (c) WPB#2 4. Concluson We verfed heren the numercal analyss technque of the wave run-up. We also measured the wave runup generated by the waves wth the same cycle and dfferent wave heghts based on the verfed numercal analyss technque. The followng conclusons were obtaned through ths: (1) Usng a wave heght gauge located n front provdes an analyss result wth a hgher accuracy than usng a wave heght gauge located at the sde or back. Accordngly, addtonal systematc studes on the evaluaton of the grd dependency and the analyss doman should be conducted to mprove the analyss accuracy. (2) The wave run-up phenomena n dverse wave heght condtons appear to be the bggest n the wave heght gauge located n front. (3) At a fxed cycle, the hgher the wave heght, the more the wave run-up phenomenon ncreases. We plan to perform future studes on the wave run-up phenomena at dverse cycles and wave heghts and when the number of structures s two or more. Acknowledgments Ths study has been performed wth the support of the Natonal Research Foundaton of Korea makng use of the 2015 government (Mnstry of Scence, ICT, and Future Plannng) fund (no ). We apprecate the support.

6 66 Kyung-Jung Cha, Jae-Hwan Jung, Hyun-Sk Yoon, Ho-Hwan Chun, and Bon-Guk Koo References CD-Adapco (2014). Release 9.02 STAR-CCM+ user gude manual. 27th ITTC Ocean Engneerng Commttee (OEC) (2014). 27th Internatonal Towng Tank Conference Proceedngs. Sung, H.G., Km, Y.S., Nam, B.W., and Hong, S.Y. (2007). Expermental nvestgaton of wave loads on a truncated vertcal crcular cylnder, Proceedngs of the Korean Socety of Ocean Engneerng. Lee, S.B., Han, S.Y., Cho, Y.M., Kwon, S.H., Jung, D.W., and Park J.S. (2013). Study on wave run-up phenomenon over vertcal cylnder, Journal of Ocean Engneerng and Technology, 27(4), pp Km, H.T. and Lee, D.Y. (2014). Benchmark studes of wave run-up, 2013 KTTC Ocean Engneerng Commttee, pp Nam, B.W., Km, N.W., Km, Y.H., Hong, S.Y., and Sung, H.G. (2013). Computaton of nonlnear wave run-up around a sem-submersble platform, Proceedngs of the PRADS2013, pp

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