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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 55, 2009 - Issue 2
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Original Articles

Local Differential Quadrature Method for 2-D Flow and Forced-Convection Problems in Irregular Domains

, , &
Pages 116-134 | Received 14 Oct 2007, Accepted 20 Oct 2008, Published online: 08 Jan 2009
 

Abstract

The local differential quadrature (LDQ) method is developed from the differential quadrature (DQ) method. Two main disadvantages of the conventional DQ method are the restriction on dealing with the irregular boundaries and the ill-conditioned matrix. By employing the concept of localization and the boundary approximation, the above drawbacks can be overcome. To verify the capability of solving the flow and heat transfer problems of the proposed LDQ method, cavity flow and forced-convection problems are selected. The numerical experiments demonstrate that the present LDQ method possesses convincing precision and good capability for dealing with irregular-domain problems.

The National Science Council of Taiwan is gratefully acknowledged for providing financial support for this research work under Grants. NSC 93-2611-E-002-017 and NSC 94-2218-E-464-001.

The present address of D. C. Lo is Institute of Marine Science and Technology, National Kaohsiung Marine University, Kauhsiung, Taiwan, Republic of China.

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