Вычислительные методы и приложения

Nonlinear wave dispersion in the particle method for incompressible fluid

T. I. Nekrasova^a, A. M. Frank<sup>b

a</sup> Siberian Federal University, Krasnoyarsk
^b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk

Abstract: In the framework of the particle method for incompressible fluid, a dispersion relation for linear surface waves is obtained. The influence of the spatial resolution on the dispersive properties of the method is studied. A comparison with some other numerical methods for free surface flows is performed from the standpoint of accuracy of wave dispersion simulation.

Keywords: linear waves; dispersion; particle method.

UDC: 519.6