Analytical Solution to Transmission and Reflection Coefficients of a Semi-Immersed Circular Cylinder in Oblique Waves

Moonesun, Mohammad; Gharechae, Ataollah

doi:10.22034/jmstsd.2026.592473.1014

Analytical Solution to Transmission and Reflection Coefficients of a Semi-Immersed Circular Cylinder in Oblique Waves

Articles in Press

Document Type : Original Article

Authors

Mohammad Moonesun ¹

Ataollah Gharechae ²

¹ Faculty of Civil Engineering, Shahrood University of Technology

² Chabahar University of Maritime and Marine Sciences, Maritime Engineering College, Chabahar, Iran.

10.22034/jmstsd.2026.592473.1014

Abstract

This paper presents an analytical method for determining the reflection and transmission coefficients of a two-dimensional semi-immersed circular cylinder subjected to oblique waves. The fluid is assumed to be inviscid, incompressible, and irrotational, with a regular train of deep-water waves incident from an arbitrary horizontal direction. The boundary value problem is reduced to a system of two independent integral equations using a source and dipole distribution method. Solutions are obtained for varying incident angles and wavenumbers, and a novel closed-form expression is derived to evaluate the scattered wave amplitude around the cylinder. The analytical predictions show excellent agreement with Boundary Element Method (BEM) results for small and moderate incident angles. Moreover, at large incident angles, the proposed model demonstrates behavior consistent with fully three-dimensional physical models.

Graphical Abstract