PARABOLIC EQUATION METHOD FOR WATER-WAVE PROPAGATION

被引:248
作者
RADDER, AC
机构
[1] Ministry of Transport and Public Works, Rijkswaterstaat, Data Processing Division, Rijswijk
关键词
D O I
10.1017/S0022112079001397
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A parabolic approximation to the reduced wave equation is investigated for the propagation of periodic surface waves in shoaling water. The approximation is derived from splitting the wave field into transmitted and reflected components. In the case of an area with straight and parallel bottom contour lines, the asymptotic form of the solution for high frequencies is compared with the geometrical optics approximation. Two numerical solution techniques are applied to the propagation of an incident plane wave over a circular shoal. © 1979, Cambridge University Press
引用
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页码:159 / 176
页数:18
相关论文
共 29 条
[11]  
Flokstra C., 1977, W154V DELFT HYDR LAB
[12]  
FOCK VA, 1965, ELECTROMAGNETIC DIFF, pCH9
[13]  
ITO Y, 1972, 13TH COAST ENG C, V1, P503
[14]  
Jonsson I. G., 1973, I HYDRODYN HYDRAUL E, V31, P13
[15]   PARABOLIC APPROXIMATION TO REDUCED WAVE-EQUATION [J].
KRIEGSMANN, GA ;
LARSEN, EW .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (01) :200-204
[16]   On the connection formulas and the solutions of the wave equation [J].
Langer, RE .
PHYSICAL REVIEW, 1937, 51 (08) :0669-0676
[17]  
Leontovich M.A., 1965, ELECTROMAGNETIC DIFF
[18]  
LUNDGREN H, 1976, 15TH P COAST ENG C H, P880
[19]  
Malyuzhinets GD, 1959, SOV PHYS USP, V69, P749, DOI 10.1070/PU1959v002n05ABEH003170
[20]   PARABOLIC APPROXIMATIONS FOR UNDERWATER SOUND-PROPAGATION [J].
MCDANIEL, ST .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1975, 58 (06) :1178-1185