MS Thesis R. Hager - Hawaii National Marine Renewable Energy ...

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Combining Eq. (5) and Eq. (8) results in the following combined linearized free-surfaceboundary condition:2g 0 (9)2zton z=0The combined free-surface boundary condition must be satisfied by all potentials listed inEq. (2).Seabed Boundary Condition (s.b.b.c)The s.b.b.c. states that there is no normal flow through the seabed:z 0(10)on z=-dThe s.b.b.c. must be satisfied by all potentials listed in Eq. (2).Body Boundary Condition (b.b.c)The b.b.c. similarly states that fluid cannot pass through an impervious body. Below Sdenotes the control surface of the body. For a fixed body the total potential must satisfy: nInD(11) on SFor a body with a velocity, U i , the radiation potential must satisfy:i x,z,txi U nii(12)on S for i=1, 3,5where, i denotes the radiation potential per unit wave amplitude in the surge, heave, andpitch directions, which are denoted by i=1, 3, and 5, respectively. Applying Kirchhoffdecomposition Eq. (12) may be written as:38
in ni(13)on S for i=1, 3in( r n)i3(14)on S for i=5where, r denotes the moment arm.Radiation ConditionFinally, the radiation condition must be satisfied by the diffraction and radiation potentials.The radiation condition for the two-dimensional case is:(x,z) ik(x,z) 0 (15)xasx 3.2 Solving for the Incident Wave PotentialSeparation of variables is used to solve for the incident potential: f ( x,z,t) X( x)T(t)Z(z) (16)Substituting Eq. (16) into Eq. (3) results in two ordinary differential equations:2d Z2dz2d X2dx K K2Z(z) 02X ( x) 0(17)(18)where, K is a separation constant. The solutions to the ordinary differential equations are:X ( x) B cos(kx) C sin(kx)(19)Zkz kz( z) De Ee (20)where, B, C, D, and E are constants to be determined. The velocity potential for a regular,progressive wave assumes the form:39
Page 1 and 2: Geometric Effects on Maximum Power
Page 3 and 4: ABSTRACTNumerical simulations are c
Page 5 and 6: 3.7 Absorbed Wave Power ...........
Page 7 and 8: LIST OF FIGURESFigurePageFigure 1.1
Page 9 and 10: NOMENCLATUREA=incident wave amplitu
Page 11 and 12: 1.2 Advantages of Wave EnergyAdvant
Page 13 and 14: for various projects. Included in t
Page 15 and 16: pollution would occur from hydrauli
Page 17 and 18: Figure 1. 7 Average Annual Wave Pow
Page 19 and 20: Backer (2009) numerically and exper
Page 21 and 22: CHAPTER 2. WAVE ENERGY CONVERSION D
Page 23 and 24: 2.3 OrientationOrientation is defin
Page 25 and 26: Figure 2.4 Oscillating Water Column
Page 27 and 28: 2.5 Reference PointMeans of reactio
Page 29 and 30: Linear GeneratorTurbineRotary Gener
Page 31 and 32: Table 2. 1 WEC ClassificationsDevic
Page 33 and 34: 33P.T.O.MooringReferencePointOperat
Page 35 and 36: CHAPTER 3. THEORY AND GOVERNING EQU
Page 37: F(x,z,t) z 0DFDtFt u F 0 0 (4
Page 41 and 42: I iAg e ekz i( kx t)(30)cosh( k(z
Page 44 and 45: where ijkis the permutation symbol.
Page 46 and 47: Mw k ieitS( D I) ijkrinjdS(46)3.3.3
Page 48 and 49: Due to Kirchhoff decomposition, rec
Page 50 and 51: TE KE PE 20L Asin(kx) 1 2(61)dV d
Page 52 and 53: P I Iw dS (70)tnSIf the column
Page 54 and 55: 221 2P gA C(77)max g2 3.8 Maximum
Page 56 and 57: 4.2 AQWA Modeling ProcedureThe user
Page 58 and 59: : Local data has changed, and the c
Page 60 and 61: Figure 4. 5 Drawing in Design Modul
Page 62 and 63: 12. Delete all lines inside the cur
Page 64 and 65: 22. Edit the details of the slice u
Page 66 and 67: Figure 4. 15 Details of the Part7.
Page 68 and 69: Figure 4. 17 Details of the Mesh4.2
Page 70 and 71: Figure 4. 21 Detials of the Wave Di
Page 72 and 73: 5. Highlight Diffraction + Froude-K
Page 74 and 75: Table 4.1 Body Dimensions for Numer
Page 76 and 77: concavity from concave down to conc
Page 78 and 79: Figure 4. 29 Maximum Power Absorpti
Page 80 and 81: Table 4. 3 Numerical ResultsBodyNo.
Page 82 and 83: BodyNo.Bodyλ atT=2.1λ atT=1.0λ a
Page 84 and 85: WAVEFigure 5. 1 Body Faces Wave Mak
Page 86 and 87: The body connects to the aluminum p
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also allowed for flexibility in cre
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AB1 23 4 5 6 7CD8 9 10 11EFigure 5.
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and minimum voltage range of the DA
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Figure 5. 11 Deleting a Step from L
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Figure 5. 14 Recording Options, Sig
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Figure 5. 17 Right-mouse Click on t
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Zero-OffsetThe Zero-Offset step rem
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Figure 5. 24 Filter Step Set-up, Co
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5.6 Data ProcessingFigure 5. 26 Wav
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5.8 Experimental DiscussionAs menti
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5.8.3 Suggestions for Future Resear
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110ikxxRekddzkgkn )cosh())(cosh(,
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Proof M ij and B ij are Symmetric T
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BIBILIOGRAPHYANSYS. (n.d.). ANSYS A
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Trust, C. (2011). Capital, Operatin
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MS Thesis R. Hager - Hawaii National Marine Renewable Energy ...

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