适合复杂地形的高阶Boussinesq水波方程

邹志利

适合复杂地形的高阶Boussinesq水波方程

邹志利

大连理工大学海岸和近海工程国家重点实验室, 辽宁大连 116024

基金项目: 国家自然科学基金资助项目(59979002,59679005).

计量
- 文章访问数: 667
- HTML全文浏览量: 7
- PDF下载量: 730
- 被引次数: 0
出版历程
- 收稿日期: 1999-08-16
- 修回日期: 1999-12-03

Higher-order Boussinesq equations for rapidly varying topography

ZOU Zhi-li

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 针对海底坡度较大(量阶为O(1))或海底曲率较大的复杂地形,建立了一个新型高阶Boussinesq水波方程.该方程可用于研究海底存在若干相互平行沙坝引起的Bragg反射问题.方程的水平速度沿水深的分布为四次多项式,色散性和变浅作用性能的精度比经典Boussinesq方程高了一阶.方程在浅水水域可以是完全非线性的.
- Boussinesq方程 /
- 非线性 /
- 色散性
Abstract: A new form of Boussinesq-type equations is developed for the case of wave propagating over a bed with a slope of the magnitude of O(1) or over rapidly varying topography such as rippled beds.The assumption of mildslope is not used.The formulation of the new equations is the extension to one-order higher than the classical Boussinesq equations derived by Peregrine in 1967,the velocity distribution along depth is a fourth polynoriiial and the accuracy of the dispersion and nonlinearity of the new equations is one-order higher than that of the classical Boussinesq equations.As an example of application,the new equations are used to consider the Bragg reflection problem.
- Boussinesq equations /
- nonlinearity /
- dispersion

HTML全文

参考文献(19)

BERKHOFF J C W.Computation of combined refraction-diffraction[A].Proc 13th Coastal Eng Conf Vancouver[C],Vol.1.ASCE,1972.471～490.

COPELAND G J M.A practical alternative to the mild-slope wave equation[J].Coastal Eng,1985,9:125～149

KUBO Y,KOTAKE Y,ISOBE M,et al.A time-dependent mild slope equation for random waves[A].Proc 23rd Coastal Eng Conf Vanice[C],Vol.1.ASCE,1992.419～431.

BOCZAR-KARAKIEWICZ B,BONA J.PALCHAT L B.Coastal sand bars and oblique incident waves[A].Proc XXII Congress Inter,Assoc Hydraul Res[C],ASCE,1989.C.151～158.

DAVIES A G.On the interaction between surface waves and undulations on the seabed[J].J Mar Res,1982,40:331～368.

DAVIES A G,HEATHERSHAW A D.Surface-wave propagation over sinusoidally varying topography[J].J Fluid Mech,ASCE,1984,144:419～443.

MEI Qiang-zhong.Resonant reflection of surface water waves by periodic sand bars[J].J Fluid Mech,1985,152:315～335.

BOOIJ N.A note on the accuracy of the mild-slope equation[J].Coastal Eng,1983,7:191～203.

SUH K D,LEE C.,PARK W S.Time-dependent equations for wave propagation on rapidly varying topography [J].Coastal Eng,1997,32:91～117.

MASSEL S R.Extended refraction-diffraction equation for surface waves[J].Coastal Eng,1993,19:97～126.

CHAMBERLAIN P G,PORTER D.The modified mild-slope equation[J].J Fluid Mech,1995,291:393～407.

MADSEN P A,SORENSEN O R.A new form of Boussinesq equations with improved linear dispersion characteristics.Part 2.A slowly-varying bathymetry[J].Coastal Eng,1992,18:183～204.

SCHAFFER H A,MADSEN P A.Further enhancements of Boussinesq-type equations[J].Coastal Eng,1995,26:1～14.

邹志利.高阶Boussinesq水波方程[J].中国科学(E辑),1997,27(5):460～473.

邹志利.高阶Boussinesq水波方程的改进[J].中国科学(E辑),1999,29(1):87～96.

GREEN A E,NAGHDI P E.A derivation of equations for wave propagation in water of variable depth[J].J Fluid Mech,1976,78:237～246.

ERTEKIN R C,WEBSTER W C,WEHAUSEN J V.Waves caused by a moving disturbance in shallow channel of finite width[J].J Fluid Mech,1986,169:275～292.

CHEN Q,MAISEN P A,SCHAFFER H A,et al.Wave-current interaction based on an enhanced Boussinesq approach[J].Coastal Eng,1998,33:11～39.

PEREGRINE D H.Long waves on a beach[J].J Fluid Mech,1967,27(4):815～827.

施引文献

资源附件(0)

访问统计

点击查看大图

计量

文章访问数: 667
HTML全文浏览量: 7
PDF下载量: 730
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板