Author(s)

B. Sarler

Abstract

A new one-domain dual reciprocity boundary integral method technique for solving one-phase continuum formulation of the convective-diffusive energy equation as appears when treating energy transport in solid-liquid phase change systems is described. Laplace equation fundamental solution weight- ing, straight line geometry and constant field shape functions on the bound- ary, Crank-Nicolson time discretization and thin plate splines for transform- ing the domain integrals into a finite series of boundary integrals are em- ployed. Iterations over the timestep are based on the Voller-Swaminathan scheme, upgraded to cope with the convective term. The technique could be applied to a wide

Keywords