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Wave-induced seabed response analysis by radial point interpolation meshless method |
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| Authors: | J G Wang Bingyin Zhang T Nogami |
| Institution: | a Tropical Marine Science Institute, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore;b Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China;c Department of Civil Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore |
| Abstract: | Wave-induced transient response of seabeds is numerically analyzed through a radial point interpolation meshless method (radial PIM). The Biot’s consolidation theory is employed and incorporated with virtual boundary conditions to describe this wave-induced transient response of the seabed. Displacement and pore water pressure are spatially discretized by the radial PIM with the same shape function. Compactly supported basis functions are proposed to obtain a banded system equation. Because the radial PIM passes through all nodal points within an influence domain, essential boundary conditions as well as virtual boundary conditions can be easily implemented at local level. Fully implicit integration scheme is used in time domain to avoid spurious ripple effect. The proposed algorithm is assessed through the comparison of numerical results with closed-form solution or finite element solutions. |
| Keywords: | Meshless method Radial basis functions Compactly supported basis Consolidation process Wave loads Pore water pressure Periodic conditions |
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