Wave-vegetation interaction using Improved Meshless Local Petrov Galerkin method

•Numerical treatment for wave-vegetation interaction modeling in the meshfree method is reported.•Rigid cylindrical/strip type vegetation is considered and validated with the experimental measurements.•The sensitivity of Cd in macroscopic modeling for vegetation is shown.•The influence of solitary waves under single and two patches of vegetation in dissipating the wave energy are shown. This paper presents the application of Improved Meshless Local Petrov Galerkin method with Rankine source for wave interaction with vegetation model. The mathematical model is based on the unified governing equation, incorporating both pure fluid and vegetation regions. The governing equation consists of additional force terms such as the resistance given by vegetation. This additional force term derived from Morison's equation, where the vegetation is assumed to be a series of cylinders or strips. The drag force term for strip/square type vegetation is reported in the present study. The interface between fluid and vegetation region has a smooth variation of porous rate using transition zone to avoid discontinuity. The model is validated using the available experimental results. The validated model is applied for finding out the effective shape of vegetation and the influence of vegetation patch in dissipating the wave energy from solitary waves.