Abstract
The problem of oblique scattering by fixed thin vertical plate submerged in deep water is studied here, assuming linear theory, by employing single-term Galerkin approximation involving constant as basis multiplied by appropriate weight function after reducing it to solving a pair of first kind integral equations. Upper and lower bounds of reflection and transmission coefficients when evaluated numerically are seen to be very close so that their averages produce fairly accurate numerical estimates for these coefficients. Numerical estimates for the reflection coefficient are depicted graphically against the wave number for different values of various parameters. The numerical results obtained by the present method are found to be in an excellent agreement with the known results.
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Acknowledgements
The first author acknowledges financial support from UGC, New Delhi. This work is also partially supported by SERB through the research project no. EMR/2016/005315.
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Das, B.C., De, S., Mandal, B.N. (2018). The Problem of Oblique Scattering by a Thin Vertical Submerged Plate in Deep Water Revisited. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_18
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DOI: https://doi.org/10.1007/978-981-13-2095-8_18
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