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Keywords: eigenfunction expansion
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Offshore Mech. Arct. Eng. June 2024, 146(3): 031902.
Paper No: OMAE-23-1108
Published Online: December 11, 2023
... study investigates the performance of a horizontal submerged porous plate over a trench-type bottom topography to dissipate the wave force on the tunnel. Through the eigenfunction expansion solution along with boundary conditions, the boundary value problem is converted into an overdetermined system...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Offshore Mech. Arct. Eng. August 2022, 144(4): 041904.
Paper No: OMAE-21-1086
Published Online: March 22, 2022
... by employing Darcy’s law for flow past a porous structure. The boundary value problem is reduced to a system of linear algebraic equations with the aid of matched eigenfunction expansion method. Further, these simultaneous equations are solved numerically to compute physical quantities. The mathematical model...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Offshore Mech. Arct. Eng. April 2021, 143(2): 021402.
Paper No: OMAE-20-1115
Published Online: February 8, 2021
... inside the porous medium. For constant water-depth, the eigenfunction expansion method is employed, whereas for varying water-depth, the eigenfunction expansion method along with the mild-slope approximation is employed. The solutions, thus derived, are matched at the shared boundaries under defined...