Please use this identifier to cite or link to this item:
Title: Simulation of steady and unsteady incompressible flow using gradient smoothing method (GSM)
Authors: Xu, G.X.
Li, E.
Tan, V. 
Liu, G.R. 
Keywords: GSD
Meshfree method
Numerical method
Issue Date: Jan-2012
Citation: Xu, G.X., Li, E., Tan, V., Liu, G.R. (2012-01). Simulation of steady and unsteady incompressible flow using gradient smoothing method (GSM). Computers and Structures 90-91 (1) : 131-144. ScholarBank@NUS Repository.
Abstract: This paper describes a novel gradient smoothing method (GSM) and its application for solutions to steady-state and transient incompressible fluid flow problems. The proposed method is based on irregular cells and thus can be used for problems with arbitrarily complex geometrical boundaries. Strong form of incompressible Navier-Stokes equations enhanced with artificial compressibility terms are tackled, in which the spatial derivatives are approximated by consistent and successive use of gradient smoothing operation over smoothing domains at various locations. A favorable GSM scheme corresponding to a compact stencil with positive coefficients of influence have been derived and adopted throughout this study. Pseudo-time advancing approach is used for solving the augmented governing equations with mixed hyperbolic-parabolic properties. The dual time stepping scheme and point-implicit five-stage Runge-Kutta (RK5) method are implemented to enhance the efficiency and stability in iterative solution procedures. The proposed incompressible GSM solver has been tested for solutions to some classical benchmarking problems, including steady-state flows over a back step, within a lid-driven cavity and across a circular cylinder, and unsteady flow across the circular cylinder. Alike to the compressible GSM solver, the incompressible GSM solver exhibits its robust, stable and accurate behaviors amongst all the testing cases. The attained incompressible GSM solutions show perfect agreements with experimental and literature data. Therefore, the proposed GSM can be reliably used for accurate solutions to versatile fluid flow problems. © 2011 Elsevier Ltd. All rights reserved.
Source Title: Computers and Structures
ISSN: 00457949
DOI: 10.1016/j.compstruc.2011.10.001
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Dec 12, 2018


checked on Dec 12, 2018

Page view(s)

checked on Dec 8, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.