Please use this identifier to cite or link to this item:
https://doi.org/10.1007/s00466-005-0736-8
Title: | Meshless techniques for convection dominated problems | Authors: | Gu, Y.T. Liu, G.R. |
Keywords: | Convection dominated Convection-diffusion Meshfree method Meshless method Numerical analysis |
Issue Date: | Jul-2006 | Citation: | Gu, Y.T., Liu, G.R. (2006-07). Meshless techniques for convection dominated problems. Computational Mechanics 38 (2) : 171-182. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-005-0736-8 | Abstract: | In this paper, the stability problem in the analysis of the convection dominated problems using meshfree methods is first discussed through an example problem of steady state convection-diffusion. Several techniques are then developed to overcome the instability issues in convection dominated phenomenon simulated using meshfree collocation methods. These techniques include: the enlargement of the local support domain, the upwind support domain, the adaptive upwind support domain, the biased support domain, the nodal refinement, and the adaptive analysis. These techniques are then demonstrated in one- and two-dimensional problems. Numerical results for example problems demonstrate the techniques developed in this paper are effective to solve convection dominated problems, and in these techniques, using the adaptive local support domain is the most effective method. Comparing with the conventional finite difference method (FDM) and the finite element method (FEM), the meshfree method has found some attractive advantages in solving the convection dominated problems, because it easily overcomes the instability issues. | Source Title: | Computational Mechanics | URI: | http://scholarbank.nus.edu.sg/handle/10635/60726 | ISSN: | 01787675 | DOI: | 10.1007/s00466-005-0736-8 |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.