Guochun Xu1, S Yan2, Q.W. Ma1,2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.106, No.1, pp. 1-35, 2015, DOI:10.3970/cmes.2015.106.001
Abstract In the Meshless Local Petrove-Galerkin based on Rankine source solution (MLPG-R), a simplified finite difference interpolation (SFDI) scheme was developed for numerical interpolation and gradient calculation (CMES, Vol. 23(2), pp. 75-89). Numerical tests concluded that the SFDI is generally as accurate as the linear moving least square method (MLS) but requires less CPU time. In this paper, a modified SFDI is proposed for numerically modelling of nonlinear water waves, considering the typical feature of the spatial variation of the wave-related parameters. Systematic numerical investigations are carried out and the results indicate that the modification considerably improves the robustness of the… More >
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