연구홍보포털

논문 초록 (Abstract)

This study introduces a finite element method using a higher-order interpolation function for effective simulations of wave transformation. Finite element methods with a higher-ord er interpolation function usually employ a Lagrangian inter polation function that gives accurate solutions with a lesser num ber of elements compared to lower order interpolation function. At the s ame time, it takes a lot of time to get a solution because the size o f the local matrix increases resulting in the increase of band width of a global matrix as the order of the interpolation function increa ses. Mass lumping can reduce computation time by making the local matrix a diagonal form. However, the efficiency is not satisfact ory because it requires more elements to get results. In this study, t he Legendre cardinal interpolation function, a modified Lagrangian interpolation function, is used for efficient calculation. Diagonal matrix generation by applying direct numerical integration to the Legen dre cardinal interpolation function like conducting mass lumping c an reduce calculation time with favorable accuracy. Numerical s imulations of regular, irregular and solitary waves using the Bouss inesq equations through applying the interpolation approaches are car ried out to compare the higher-order finite element models on wav e transformation and examine the efficiency of calculation.