Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury

Wensheng Shena, Jun Zhanga,*, Fuqian Yangb
aUniversity of Kentucky, Department of Computer Science, Lexington, KY 40508, USA  bUniversity of Kentucky, Department of Chemical and Materials Engineering, Lexington, KY 40508, USA

  Full Text
The transient heat and mass transfer in skin is investigated numerically using a finite difference method. Based on the skin physical structure, a three-dimensional multilayer model is developed and the governing equation is discretized using the Crank–Nicholson scheme. The resulting sparse linear system is solved by the generalized minimum residual method with an incomplete lower upper factorization with threshold (ILUT) preconditioner. The performance of the incomplete lower upper triangular factorization (ILUT) preconditioner is evaluated for different thresholds, solvers, and mesh sizes.

Keywords:  Bioheat and mass transfer; Thermal injury; Crank-Nicholson scheme; Iterative method; ILUT preconditioning; Numerical modeling

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