A boundaryintegral formulation for complex threedimensional geometries
Abstract
A new boundaryintegral formulation is proposed to analyze the heat transfer in complex threedimensional geometries. One example of such geometry is the die sets in the injection moulding process. Networks of cooling conduits within the mould and the closely spaced die surfaces require special attention both in formulation and numerical treatment of the integral equations. The proposed formulation couples the boundary formula, the gradient of the boundary formula and the exterior formula. The derivation of the integral equations is presented here along with an efficient method for integration of some of the kernels in these equations and a semianalytical procedure for the integration of the highly singular integrands which results from differentiating the boundary formula. Although the techniques introduced here are applied to a particular problem in heat transfer, their potential application is much broader.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 February 1990
 DOI:
 10.1002/nme.1620290204
 Bibcode:
 1990IJNME..29..263R
 Keywords:

 Boundary Integral Method;
 Computerized Simulation;
 Three Dimensional Flow;
 Three Dimensional Models;
 Boundary Element Method;
 Flow Geometry;
 Heat Transfer;
 Injection Molding;
 Fluid Mechanics and Heat Transfer