Unsymmetric and symmetric meshless schemes for the unsteady convection–diffusion equation


Chinchapatnam, P.P., Djidjeli, K and Nair, P.B. (2006) Unsymmetric and symmetric meshless schemes for the unsteady convection–diffusion equation Computer Methods in Applied Mechanics and Engineering, 195, (19-22), pp. 2432-2453. (doi:10.1016/j.cma.2005.05.015).

Download

Full text not available from this repository.

Description/Abstract

In this paper we investigate the application of unsymmetric and symmetric meshless collocation techniques with radial basis functions for solving the unsteady convection–diffusion equation. We employ the method of lines approach to discretize the governing operator equation. The stability of both explicit and implicit time-stepping schemes are analyzed. Numerical results are presented for 1D and 2D problems to compare the performance of the unsymmetric and symmetric collocation techniques. We compare the performance of various globally supported radial basis functions such as multiquadric, inverse multiquadric, Gaussian, thin plate splines and quintics. Numerical studies suggest that symmetric collocation is only marginally better than the unsymmetric approach. Further, it appears that both collocation techniques require a very dense set of collocation points in order to achieve accurate results for high Pe´clet numbers.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.cma.2005.05.015
ISSNs: 0045-7825 (print)
Keywords: convection–diffusion, radial basis functions, unsymmetric collocation, symmetric collocation
Subjects:
ePrint ID: 26869
Date :
Date Event
May 2004Submitted
April 2006Published
Date Deposited: 24 Apr 2006
Last Modified: 16 Apr 2017 22:32
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/26869

Actions (login required)

View Item View Item