Abstract
The multi-domain dual reciprocity method has been effectively applied to the solution of two-dimensional non-isothermal Newtonian and non-Newtonian flow problems, where the momentum and energy equations govern the motion of a viscous fluid. In the proposed boundary integral method the domain integrals are transformed into equivalent boundary integrals by the dual reciprocity approach applied in a subdomain basis. On each subregion or domain element the integral representation formulae for the velocity and temperature are applied and discretized using linear continuous boundary elements, and the equations from adjacent subregions are linked by additional continuity conditions. Some examples showing the accuracy, efficiency and flexibility of the proposed method are presented.
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