An Extended Analytic Solution of Combined Refraction andDiffraction of Long Waves Propagating over Circular Island

المؤلفون المشاركون

Kuo, Yu-Shu
Tsai, Chia-Cheng
Huang, Yu-Hsuan
Hsu, Tai-Wen

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-13، 13ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-11-13

دولة النشر

مصر

عدد الصفحات

13

التخصصات الرئيسية

الرياضيات

الملخص EN

An analytic solution of long waves scattering by a cylindrical island mounted on a permeable circular shoal was obtained by solving the linear long wave equation (LWE).

The solution is in terms of the Bessel function expressed by complex variables.

The present solution is suitable for arbitrary bottom configurations described by a power function with two independent parameters.

For the case of the paraboloidal shoal, there exists a singular point (α=2) which can be removed using Frobenius series, where α is a real constant.

The present solution is reduced to Yu and Zhang’s (2003) solution for impermeable circular shoal.

The numerical results show some special features of the combined effect of wave refraction and diffraction caused by a porous circular island.

The effect of key parameters of the island dimension, the shoal slope, and permeability on wave scattering was discussed based on the analytic solution.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Kuo, Yu-Shu& Hsu, Tai-Wen& Tsai, Chia-Cheng& Huang, Yu-Hsuan. 2012. An Extended Analytic Solution of Combined Refraction andDiffraction of Long Waves Propagating over Circular Island. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1028992

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Kuo, Yu-Shu…[et al.]. An Extended Analytic Solution of Combined Refraction andDiffraction of Long Waves Propagating over Circular Island. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1028992

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Kuo, Yu-Shu& Hsu, Tai-Wen& Tsai, Chia-Cheng& Huang, Yu-Hsuan. An Extended Analytic Solution of Combined Refraction andDiffraction of Long Waves Propagating over Circular Island. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1028992

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1028992