ABSTRACT
Calculated results are depicted in colour graphics (see front cover and Fig. 11) by the post-processor.
9.7 CONCLUDING REMARKS
Recent results in the application of boundary element methods to laminar natural convection have been presented. Integro-differential equations have been derived systematically from initial-boundary value problems of differential equations by using time-dependent fundamental solutions. The integro-differential equations were discretised into nonlinear algebraic equations by using linear boundary elements, linear cell elements, and constant time elements together with the method of collocations. Rigorous mathematical treatment closely related to the problem under consideration was also presented. Numerical examples showed the versatility and effectiveness of the methods. The formulation in terms of velocity, pressure and temperature can be extended directly to three-dimensional problems.
