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. (C) 2003 Elsevier Ltd. All rights reserved.
Wang, J-G., Zhang, B., & Nogami, T. (2004). Wave-induced seabed response analysis by radial point interpolation meshless method. Ocean Engineering, 31(1), 21-42. https://doi.org/10.1016/S0029-8018(03)00112-4