Heat flux recovery in a multilayer model for skin tissues in the presence of a tumor
Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt
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Accepted: 25 March 2019
Published online: 25 June 2019
In this article we study the heat flux distribution in skin tissues in the presence of a tumor. A five-layered two-dimensional skin geometry is considered and the bioheat transfer is modeled by Pennes equation. We propose a recovery technique that improves the accuracy and ensures the continuity of the heat flux computed using finite-element method at the different interfaces of the structure. An a posteriori error estimator is formulated using the recovered flux and is utilized to control an adaptive finite-element method. Numerical results are shown for a test example to illustrate the efficiency of the proposed approach. Then a comparison of the heat flux distribution under different circumstances that include the tumor length and volumetric heat generations is given.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019