行政院國家科學委員會專題研究計畫成果報告

-III NSC 89-2625-Z-006-004 8881 89731(1993) Massel Navier-Stokes Grue Boussinesq Driscoll Ohyama Nadaoka Rey (1992) Ting Kim(1994) LDA Petti (1994) PIV ( Navier-Stokes)Huang Dong (1998)Takano (1960)Mei Black (1969)Massel (1983)Rey (1992)Grue (1992) Driscoll (1992)Ohyama Nadaoka- 1 -

yh 0 h 1 ( = qh 0 )lniσ ijn j = − patm(5)τ σi ij jn = 0 ; i, j = 1 or 2(6) n iτ iσ ij S 0 b b x (5)(6)x=0h ol qh o(q∂η 21)2[ 1+( ) ]ηpx vo = +∂ ∂(7)2 S 0F∂ηr2Rye[ 1−( ) ]∂∂x∂u∂v4 ∂v∂η= − +(x,y)(8)∂y∂x∂η 2( ) −1∂y∂x∂x∂u∂v+ = 0 (1)∂x∂y p0 = p0( x, η)∂u∂ ∂ ∂ ∂ ∂u u v u 2 2p 1 u u+ + = − + ( + ) (2)2 2∂t∂x∂y∂xRe∂x∂y∂v∂ ∂ ∂ ∂ ∂u v v v 2 2p 1 v v+ + = − + ( + ) (3) 2 2∂t∂x∂y∂yRe∂x∂y∂p∂ ∂ ∂ u , v xyc p u+ = 0 ; + c u = 0∂t∂x∂t∂xt p R (9)e∂u∂v+ = 0Re = u 0 h 0 / υ υ ∂x∂y c h o u v u = u 0 sinωtu o p h o / uo 1LagrangeChenChen (1982)(FA) (2)(3)n n−1xk= xk+ uk∆tn n−1yk= yk+ vk∆ t(4)f p = ( Cs fs + Cn fn + Cw fw + Ce fe uk, vk(10)n−1 + Ctf p ) + CpSf n n − 1∆ t C FA S fR e∂p / ∂xR e∂p / ∂y- 2 -

4.00(1996)t=7.0s2.000.00-2.00Patankar (1979)-4.00SIMPLER x from back of obstacle (m)(1995) 4.00SUMMAC2.00t=10.0s0.00 ∆ t = 0. 001∆x = 0.05 ∆ y = 0. 05(a) -4.00-1.00 0.00 1.00 2.00 3.00 4.00x from back of obstacle (m)4.002.00t=20.0s0.00Driscoll (1992) -2.00-4.0030m 0.6m-1.00 0.00 1.00 2.00 3.00 4.001m x from back of obstacle (m) 7mh o = 0. 5 2 2.5cm 1.7s l = 0. 79 m 0.38m( q = 0. 24 q = 0. 24 )H i = 2. 5 cm T = 17 . s0.72m1.92m (• [Driscoll (1992)]2 [Driscoll (1992)]) Driscoll (1992)T(s) L(m) H(m) h(m) h 0 (m) b(m) l(m)Case1 2.5 3.81 0.02 0.25 0.125 0.125 0.5Case2 2.5 3.81 0.02 0.25 0.05 0 0.5Driscoll (1992)(T L H hb l)4.00x=0.72m2.000.00-2.00-4.0021.00 22.00 23.00 24.00time (s)t=28.7sec 44.00x=1.92m2.000.00-2.00-4.0021.00 22.00 23.00 24.00time (s)-2.00-4.004.002.000.00-2.00-1.00 0.00 1.00 2.00 3.00 4.00-1.00 0.00 1.00 2.00 3.00 4.00x from back of obstacle (m)t=15.0s- 3 -

1.0t/T=0/40.0-1.01.00.094 95 96 97 98 99 100Y(m)0.270.260.250.240.230.270.260.250.240.230.270.260.250.240.230.270.260.250.240.230.270.260.250.240.230.270.260.250.240.230.270.260.250.240.230.500.400.300.200.100.00t=4.1sect=8.2sect=12.3sect=16.4sect=20.5sect=24.6sect=28.7sec0 4 8 12 16 20 24 28 32 36 40 441.00.0-1.01.00.01.00.0-1.01.00.01.00.0-1.01.0t/T=1/494 95 96 97 98 99 100t/T=2/494 95 96 97 98 99 100t/T=3/4X(m)0.0(Case 2)94 95 96 97 98 99 1006 1. (2000) ” ”5.Grue, J. (1992) "Nonlinear Water Wavesat a Submerged Obstacle or Bottom2.(1996) ”Topography," J. Fluid Mech., Vol. 244, pp.”455-476.625-636 6.Huang, C.J., E.C. Zhang and J.F. Lee3.Chen, C.J. and H.C. Chen (1982) "The (1998) "Numerical Simulation ofFinite-Analytic Method," IIHR Report232-IV, Iowa Institute of HydraulicResearch, The University of Iowa.Nonlinear Viscous Wavefields Generatedby a Piston-Type Wavemaker," J.Eng.Mech., Vol. 124, pp. 1110-1120.4.Driscoll, A.M., R.A. Dalrymple and S.T. 7.Mei, C.C. and J.L. Black (1969)Grill (1992) "Harmonic Generation and "Scattering of Surface Waves byTransmission Past a Submerged Rectangular Obstacles in Waters of FiniteRectangular Obstacle," 23rd Coast. Eng.Conf. ASCE, pp. 1142-1152.Depth," J. Fluid Mech., Vol. 38, pp. 499-511.- 5 -

8.Massel, S.R. (1983)"Harmonic Generationby Waves Propagation over a SubmergedStep," Coastal Eng., Vol. 7, pp. 357-380.9.Ohyama, T. and K. Nadaoka (1993)"Modeling the Transformation ofNonlinear Waves Passing over aSubmerged Dike," 23rd Coast. Eng. Conf.,ASCE, pp. 526-539.10.Patankar, S. V. (1980) "Numerical Heattransfer and fluid Flow, McGraw-Hill.,Inc., New York, N.Y.11.Petti, M., P.A. Quinn, G. Liberatore andW.J. Easson (1994) "Wave Velocity FieldMeasurement over a SubmergedBreakwater," 24rd Coast. Eng. Conf,ASCE, pp. 525-539.12.Rey, V., M. Belzons and E. Guazzelli(1992) "Propagation of Surface GravityWaves over a Rectangular SubmergedBar," J. Fluid Mech., Vol. 235, pp. 453-479.13.Takano, K. (1960) "Effects d’un ObstacleParallelipipedique sur la Propagation de laHoule," Houille Blanche, Vol. 2, pp. 247-267.14.Ting, F.C.K. and Y.K. Kim (1994)"Vortex Generation in Water WavesPropagating over a Submerged Obstacle,"Coastal Eng., Vol. 24, pp. 23-49.- 6 -