Oblique Wave Trapping by Porous Structures Near a Wall

Interaction of gravity waves with bottom-standing submerged structures having perforated outer-layer placed on a sloping bed

“…Here, emphasis is given to find the condition for optimum reflection and wave forces due to various wave and structural parameters as discussed in Koley et al [27] unlike finding the existence of the trapped modes. Fig.…”

“…(25) and (26) are converted into a linear system of algebraic equations by discretizing the entire boundaries of the regions R 3 and R 4 into a finite number of segments called boundary elements. Further, over each boundary element, and ∂ /∂n are assumed to be constant [27]. With the above assumptions, Eqs.…”

“…(27) and (28) refer to the total number of boundary elements over the corresponding boundaries. Proceeding in a similar manner, matrix factorization can be obtained for the linear operators Q 1 and Q 2 in Eqs.…”

“…(14) and (18) into Eqs. (27) and (28), an algebraic system of linear equations are derived which are solved to obtain the unknowns 3 and 4 on each boundary elements over the boundaries of regions R 3 and R 4 respectively. Using the value of the velocity potential and its normal derivative on each boundary element, various physical quantities of interest can be computed.…”

“…Huang et al [26] extensively reviewed the recent developments on wave interaction with slotted breakwaters and discuss various mathematical methods to deal with various problems. Koley et al [27] have studied the trapping of oblique incident waves by permeable breakwaters of different configurations located at a finite distance from a rigid wall. In the solution approach, they have used eigenfunction expansion method for analytic solution and boundary element method for numerical solution.…”