5 Discretized Governing Equations and Solution Procedure

The governing equations of Section 3 which are already in a weak form are discretized in space by means of the FEM and the discrete fracture model of Section 4.7 is implemented.

The following approximations are used for the field variables

u=Nuu¯pw=Ncpp¯wT=NTT¯

si59_e  (4.45)

where Nα, α = u, p, T are the shape functions and u¯,p¯w,T¯si60_e the nodal values of the field variables.

Space discretization of Eqs. (4.14), (4.17), (4.18) and (4.22), incorporating the constitutive equations, results in the ...

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