Finite element analysis of density flow using the velocity correction method

TLDR: In this paper, a finite element method is proposed for the analysis of density flow which is induced by a difference of density, employing the idea that density variation can be pursued by using markers distributed in the flow field.

Abstract: A finite element method is proposed for the analysis of density flow which is induced by a difference of density. The method employs the idea that density variation can be pursued by using markers distributed in the flow field. For the numerical integration scheme, the velocity correction method is successfully used, introducing a potential for the correction of velocity. This method is useful because one can use linear interpolation functions for velocity, pressure and potential based on the triangular finite element. The final equations can be formulated using the quasi-explicit finite element method. A flume in a tank with sloping bottom has been analysed by the present method. The computed results show extremely good agreement with the experimental observations.