||CMES: Computer Modeling in Engineering & Sciences, Vol. 18, No. 1, pp. 31-44, 2007
||Full length paper in PDF format. Size = 621,490 bytes
||Boundary element method; thermal Green's function; fundamental solution; porous media; unsaturated soils.
||In this paper after a discussion about the evolution of the unsaturated soils' governing differential equations and a brief history of the Green's functions for porous media, the governing equations, i.e., the mathematical model in the presence of heat effects are presented and simplified so as the derivation of the associated Green's functions be in the realm of possibility. The thermal two- and three-dimensional, full- and half-space Green's functions for unsaturated porous media, although in a relatively simplified form, are being introduced for the first time, following the previous works of the authors. The derived Green's functions have been demonstrated graphically and verified mathematically by comparing with the previously introduced corresponding Green's functions. The resulted solutions may be used in a BEM or other meshless numerical models.