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A New Reduction Technique for Thermal Models with Fluid Networks

Thermal finite element models are used to simulate the temperature distribution of a body under a certain set of boundary conditions. When short calculation times are necessary (i.e., for parametric study, active control loops, temperature monitoring algorithms, etc.) detailed FE models cannot be used and reduced-order models must be developed. Reduced-order models may have both generalized and physical degrees of freedom (dofs), according to the scope of the reduction. The use of generalized dofs is more suitable to simulate full-field temperature distribution of the body, while inclusion of physical dofs can be advantageous when temperature must be only computed at a small number of locations. In this paper a new reduction technique is proposed for applications where only a small set of temperatures must be computed; it is based on the Guyan reduction method and overcomes the limitations of the original Guyan reduction when applied to thermal models with a fluid network, characterized by non-symmetric matrices. The new technique is applied to a case study, consisting of a dummy turbine disk and its secondary air system in order to show the improvement with respect to the original Guyan approach.