Simulation of Nonlinear Free Surface Waves using a Fixed Grid Method

The simulation of nonlinear surface waves is significant importance in safety studies fluid containers and reservoirs. In this paper, free flows are simulated using a fixed grid method which employs local exponential basis functions (EBFs). Assuming the flow to be inviscid irrotational, velocity potential Laplace’s equation spatially discretized solved by considering Bernoulli’s for irrotational as boundary condition on surface. conditions imposed through semi-implicit iterative time marching. feature method, based Lagrangian description flow, allows retaining portion discretization performed first step bulk fluid. Thus, pertains regions near moving boundaries reprocessed during accuracy efficiency existing solution shown simulating various problems such liquid sloshing induced external excitation reservoir or initial deformed shape liquid, seiche phenomena solitary wave propagation basin with constant depth step, comparing results those analytically available from codes Abaqus. proposed shows far better stability when compared Abaqus sometimes exhibit divergence after relatively large number steps. For instance, considered an infinite-like domain problem, height calculated maximum error 1.6% 9% present Abaqus, respectively.