Application of the multiple reciprocity BEM for numerical solution of bioheat transfer equation

• Autorzy: Majchrzak E. , Drozdek J. , Kałuża G.
• Języki publikacji: EN

Abstrakty

EN

Application of the standard boundary element method for numerical solution of the bioheat transfer equation requires discretization not only the boundary but also the interior of the domain considered. In this paper the variant of the BEM which is connected only with the boundary discretization is presented. It is the essential advantage of the algorithm proposed in comparison with the classical one. As the example, the problem of the pair of vessels (artery and vein) surrounded by the tissue is analyzed, and the temperature field in the tissue sub-domain is found.

Słowa kluczowe

EN

bioheat transfer equation; boundary element method; numerical solution

PL

równanie przepływu biociepła; metoda elementów brzegowych; rozwiązanie numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2002
• Tom: Vol. 1, nr 1
• Strony: 113--124
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Majchrzak E.

• Silesian University of Technology, Gliwice
• Technical University of Częstochowa, Częstochowa

autor

Drozdek J.

• Technical University of Częstochowa, Częstochowa

autor

Kałuża G.

• Silesian University of Technology, Gliwice

Bibliografia

• [1] Brinck H., Werner J., Estimation of the thermal effect of blood flow in a branching countercurrent network using a three-dimensional vascular model, Journal of Biomechanical Engineering 1994, 116, 324-330.
• [2] Huang H.W., Chen C.L., Roemer R.B., Analytical solutions of Pennes bio-heat transfer equation with a blood vessel, Journal of Biomechanical Engineering 1994, 116, 208-212.
• [3] Huang H.W., Chen Z.P., Roemer R.B., A counter current vascular network model of heat transfer in tissue, Journal of Biomechanical Engineering 1996, 118, 120-128.
• [4] Brebbia C.A., Domingues J., Boundry elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [5] Majchrzak E., Boundary element method in the heat transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001.
• [6] Nowak A.J., Boundary element method with an application of the multiple reciprocity method, Publ. of the Sil. Univ. of Techn., 116, Gliwice 1993.
• [7] Mochnacki B., Majchrzak E., Numerical solution of bio-heat transfer equation usin the boundary element method, European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, 11-14 September 2000, CD-Rom Proceedings, 1-10.