Journal of Korean Society of Coastal and Ocean Engineers (한국해안해양공학회지)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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Numerical Analysis of Waves from Point Source in Variable Depth Using Parabolic Wave Equation in Polar Coordinates

極座標 抛物形 波動方程式을 이용한 變數深 点源波의 數値解析

  • 곽문수 (명지대학교 토림·환경공학과) ;
  • 편종근 (명지대학교 토림·환경공학과)
  • Published : 1999.03.01
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Abstract

The Green function method is widely used for the analysis of waves in a harbor with a constant depth. In extending this method to a wave field over arbitrary depth, a generalized and convenient method is needed to obtain unit solutions for waves emerging from a point source. For this purpose, a parabolic wave equation is derived to approximate the mild-slope equation written in terms of polar coordinates. Usefulness of the equation obtained is examined through trial computations.

본 연구에서는, 等水深의 港內波高分布 計算을 목적으로 이미 확립되어져 있는 Green 函數法을 變水深場에 適用하기 위하여 變數深場의 点源波에 대한 基本解를 구한다. 平面波浪場의 가장 일반적인 緩傾斜方程式을 基礎方程式으로 하여, 点源波가 圓環狀으로 전파하는 狀況을 나타내기 위하여 이것을 極座標로 표시하고, 進行性의 波를 간편하게 計算할 目的으로 抛物形 方程式으로 근사화하였다. 유도된 抛物形 波動方程式으 差分化하여 變水深場에서의 点源波의 基本解를 數値的으로 구하였으며 嚴密解와 비교하여 수치해의 타당성을 검토하였다.

Keywords

References

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