WKB APPROXIMATION TO THE MODIFIED MILD-SLOPE EQUATION

[摘要] WKB approximation for water wave scattering by rapidly varying topography is obtained from a modified mild-slope equation of the general form by Porter (2003). The present WKB solution is reduced to the previous study where shallow water conditions are present. WKB models from the transformed mild-slope equation, without the described bottom curvature modification, show better performance than those by the original developed mild-slope equation. The underlying significance of the present equation is discussed in the context of linear wave scattering. The selected figures representing our results further characterize main feature of this study.

[学科分类] 建筑学

[关键词] modified mild-slope equation;WKB approximation;transformed mild-slope equations