Journal Home Online First Current Issue Archive For Authors Journal Information 中文版

2004, Volume 6, Issue 3

Abstract

Keywords

Figures

References

Related Research

Back to Top

Strategic Study of CAE >> 2004, Volume 6, Issue 3

Numerical Study on the Parabolic Mild-slope Equation

1. State Key Laboratory of Coastal and Offshore Engineering , Dalian University of Technology , Dalian , Liaoning 116023 , China

2. Guangzhou Institute of Energy Conversion , Chinese Academy of Sciences , Guangzhou 510070 , China

Funding project：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（021503） Received: 2003-05-18 Revised: 2003-09-03 Available online: 2004-03-20
HTML53 PDF 6 Collect 0

Next Previous

Abstract

Two kinds of parabolic mild-slope equations are studied systematically. By numerical modeling wave transformation over four typical topographies, the accuracy of numerical schemes, the effect of grid number on the solution accuracy, the sensitiveness of the models to the incident wave angle and the effect of weakly nonlinear terms on the numerical results are discussed in detail. These results can give some theoretical guidance to the applications of parabolic mild slope equations to wave propagation over complex topography in large coastal areas.

Figures

图1

图2

图3

图4

图5

图6

图7

图8

References

[ 1 ] RadderAC .Onthe parabolicequationmethodforwater wave propagation[J].JFluidMech, 1979, 95:159～176

[ 2 ] KirbyJT .Rationalapproximationsintheparabolicequationmethodforwaterwaves[J].CoastalEngineering, 1986, 10:355～378

[ 3 ] DalrympleRA , KirbyJT .Modelsforverywide anglewaterwavesandwavediffraction[J].JFluidMech, 1988, 192:33～50

[ 4 ] DalrympleRA , KirbyJT .Modelsforverywide anglewaterwavesandwavediffraction[J].Part2, IrregularBathymetry, JFluidMech, 1989, 201:299～322

[ 5 ] KirbyJT , DalrympleRA , KakuH .Parabolicapproximationsforwaterwavesinconformalcoordinatesystems[J].CoastalEngineering, 1994, 23:185～213

[ 6 ] KirbyJT , DalrympleRA .Verificationofaparabolicequationfor propagationofweakly nonlinearwaves[J].CoastalEngineering, 1984, 8:219～232

[ 7 ] 郑永红.波浪、潮流、污染物迁移扩散数学模型及其数值模拟[R].辽宁大连:大连理工大学博士后研究报告, 2000

[ 8 ] KirbyJT .Openlateralboundaryconditionforapplicationintheparabolicequationmethod[J].JWaterwPortCoastalEng, ASCE , 1986, 112:460～465

[ 9 ] ZhengYonghong, ShenYongming, QiuDahong, etal.EfficientellipticsolverforthemildslopeequationusingBI CGSTABmethod.ChinaOceanEngineering[J], 2000, 14 (2) :175～184

Related Research