Abstract
In this paper, an adaptive gridless algorithm is presented to solve
Euler equations. The adaptive procedure is realized through the movement
of points in order to fix the number of the points for capturing
physical features like shock waves with high resolution. To carry
out the adaptive point movement, weighted reference radius equidistribution
is introduced into the clouds of points updated during the gridless
computation. The features of the flow field are firstly measured
by a weighted function based on local gradients, and then the point
gathering in the vicinity of the measured feature is realized by
adjusting the reference radius of the clouds. No points are inserted
or removed during the adaptive procedure, therefore the number of
the points can be kept the same. It can be noted that the points
gradually approach the vicinity of the important physical features,
and hence the resolution of the flow filed is increased. Compressible
flows in channels governed by Euler equations are solved to validate
this new methodology. The numerical results show that the shock waves
are accurately captured and agree well with the reference works.
© 2007 Elsevier B.V. All rights reserved.
Users
Please
log in to take part in the discussion (add own reviews or comments).