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

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.