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Numerical modelling of wave propagation using parabolic approximation with a boundary‐fitted co‐ordinate system
Author(s) -
Tsay TingKuei,
Ebersole Bruce A.,
Liu Philip L.F.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620270105
Subject(s) - curvilinear coordinates , ordinate , mathematical analysis , diffraction , refraction , boundary (topology) , parabolic cylindrical coordinates , boundary value problem , mathematics , geometry , numerical analysis , coordinate system , wave propagation , parabolic partial differential equation , physics , partial differential equation , optics , parabolic cylinder function
With a boundary‐fitted curvilinear co‐ordinate system, the parabolic approximation is applied to the mildslope equation to describe the wave propagation. Both refraction and diffraction are included in the numerical model. Because the shoreline coincides with one of the curvilinear co‐ordinates, the numerical model can be used to compute wave propagations near an irregular shoreline.