A numerical–computational procedure is described to determine a multi-dimensional functional or an operator for the representation of the computational results of a numerical transport code. The procedure is called Numerical Transport Code Functionalization (NTCF). Numerical transport codes represent a family of engineering software to solve, for example, heat conduction problems in solids using ANSYS; heat and moisture transport problems in porous media using NUFT; or laminar or turbulent flow and transport problems using FLUENT, a computational fluid dynamic (CFD) model. The NTCF procedure is developed to determine a model for the representation of the code for a variety of input functions. Couple solution of multiphysics problems often require repeated, iterative calculations for the same model domain and with the same code, but with different boundary condition values. The NTCF technique allows for reducing the number of runs with the original numerical code to the number of runs necessary for NTCF model identification. The NTCF procedure is applied for the solution of coupled heat and moisture transport problems at Yucca Mountain, Nevada. The NTCF method and the supporting software is a key element of MULTIFLUX, a coupled thermohydrologic-ventilation model and software. Numerical tests as well as applications for Yucca Mountain, Nevada are presented using both linear and nonlinear NTCF models. The performance of the NTCF method is demonstrated both in accuracy and modeling acceleration.

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