期刊首页 优先出版 当期阅读 过刊浏览 作者中心 关于期刊 English

《中国工程科学》 >> 2004年 第6卷 第4期

用改进的Boussinesq方程模拟潜堤上的波浪变形

1.国科学院广州能源研究所,广州 510640

2.大连理工大学海岸及近海工程国家重点实验室,辽宁大连 116023

资助项目 :国家自然科学基金重点资助项目(10332050);国家自然科学基金资助项目(50379001);国家杰出青年科学基金资助项目(50125924);广东省自然科学基金资助项目(20021503) 收稿日期: 2003-06-02 修回日期: 2003-07-15 发布日期: 2004-04-20

下一篇 上一篇

摘要

研究了一种改进的Boussinesq方程,采用预报校正格式对该方程进行了数值离散,并对淹没潜堤上的波浪变形进行了数值模拟,从数值模拟结果和实测值的比较结果来看,该方程能较好地模拟波浪在潜堤上传播时波面的变形过程,可以用于实际中的波浪问题计算。这种改进的Boussinesq方程本身及其求解方法需做进一步的完善。研究结果为实际应用Boussinesq方程来研究复杂地形上的波浪传播提供一定的理论指导。

图片

图1

图2

参考文献

[ 1 ] PeregrineDH Longwavesonabeach[J]JFluidMech, 1967, 27 (4) :815~827

[ 2 ] Abbott M B, Petersen H M, Skovgoard O. On the numerical modelling of short waves in shallow water [J]. J Hydraulic Research, 1978, 16 (3) : 173~203

[ 3 ] StiassnieM , DaganG .Partialreflectionofwaterwavesbynon uniformadvertcurrents[J].JFluidMech, 1979, 92 (1) :119~129

[ 4 ] Lasen J, Dancy H. Open boundaries in short wave simulations: a new approach [J]. Coastal Engineering, 1983, 7 (3) : 285~297

[ 5 ] Abbott M B, McCowan A D, Warren I R. Accuracy of short-wave numerical models [J]. J Hydraulic Engineering, 1984, 110 (10) : 1287~1301

[ 6 ] Yoon S B, Liu P L F. Interaction of currents and weakly nonlinear water waves in shallow water [J]. J Fluid Mech, 1989, 205: 397~419

[ 7 ] MadsenPA , S rensenOR , Sch fferHA .AnewformofBoussinesqequationswithimprovedlinearcharacteristics[J].CoastalEngineering, 1991, 15:371~388

[ 8 ] MadsenPA , S rensenOR , Sch fferHA .AnewformofBoussinesqequationswithimprovedlinearcharacteristics:Part2aslowly varyingbathymetry[J].CoastalEngineering, 1992, 18:183~204

[ 9 ] Sch fferHA , MadsenPA , FurtherenhancementsofBoussinesq-typeequations[J].CoastalEngineering, 1995, 26:1~14

[10] Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagation [J]. J Wtrwy Port Coastal, and Ocean Engineering, ASCE, 1993, 119 (6) : 618~638

[11] Beji S, Battjes J A. Numerical simulation of nonlinear waves over a bar [J], Coastal Engineering, 1994, 23: 1~16

[12] WeiG , KirbyJT .Time dependentnumericalcodeforextendedBoussinesqequations[J].JWtrwyPort, Coastal, andOceanEngineering, ASCE , 1995, 121 (5) :251~261

[13] MadsenPA , S rensenOR , Sch fferHA .SurfzonedynamicssimulatedbyaBoussinesqtypemodel:Part1modeldescriptionandcross shoremotionofregularwaves[J].CoastalEngineering, 1997, a32:255~287

[14] MadsenPA , S rensenOR , Sch fferHA .SurfzonedynamicssimulatedbyaBoussinesqtypemodel:Part2surfbeatandswashoscillationsforwavegroupsandirregularwaves[J].CoastalEngineering, 1997, b32:289~319

[15] KaihatuJM , KirbyJT .Two dimensionalparabolicmodellingofextendedBoussinesqequations[J].JWtrwyPort, Coastal, andOceanEngineering, ASCE , 1998, 124 (2) :57~67

[16] Wei G, Kirby J T, Sinha A. A fully nonlinear Boussinesq model for surface waves: Part 1 highly nonlinear unsteady waves [J]. J Fluid Mech, 1995, 294: 71~92

[17] ChenQ , MadsenPA , Sch fferHA , etal.Wave currentinteractionbasedonanenhancedBoussinesqapproach[J].CoastalEngineering, 1998, 33:11~39

[18] GobbiMF , KirbyJT .Waveevolutionoversubmergedsills:testsofahigh orderBoussinesqmodel[J].CoastalEngineering, 1999, 37:57~96

[19] Beji S, Nadaoka K. A formal derivation and numerical modelling of the improved Boussinesq equations for varying depth [J]. Ocean Engineering, 1996, 23 (8) : 691~704

[20] Beji S, Battjes J A. Experimental investigations of wave propagation over a bar [J]. Coastal Engineering, 1993, 19 (1~2) : 151~162

[21] Ohyama T, Kiota W, Tada A. Applicability of numerical models to nonlinear dispersive waves [J]. Coastal Engineering, 1994, 24: 297~313

相关研究