The numerical solution of the transient heat conduction problem using the lattice Boltzmann method

• Autorzy: Kałuża G.
• Języki publikacji: EN

Abstrakty

EN

The implementation of the lattice Boltzmann method (LBM) for the solutionof the transient heat conduction problem is presented. The one dimensional task is considered and the different boundary conditions, specifically the Dirichlet, Neumann and Robin ones are taken into account. The D1Q2 lattice model is applied. To check the accuracy of the LBM algorithm, the same problems have been solved using the explicit variant of the finite difference method. In the final part of the paper, the results of computations are shown and the conclusions are formulated.

Słowa kluczowe

EN

lattice Boltzmann method; transient heat conduction; Fourier equation

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 1
• Strony: 23--30
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Kałuża G.

• Silesian University of Technology, Poland,

Bibliografia

• [1] Mishra S.C., Mondal B., Kush T., Rama Krishna B.S., Solving transient heat conduction problems on uniform and non-uniform lattices using the lattice Boltzmann method, International Communications in Heat and Mass Transfer 2009, 36, 322-328.
• [2] Mohamad A.A., Lattice Boltzmann Method Fundamentals and Engineering Applications with Computer Codes, Springer, London, Dordrecht, Heidelberg, New York 2011.
• [3] Succi S., The Lattice Boltzmann Method for Fluid Dynamics and Beyond, Oxford University Press, New York 2001.
• [4] Chaabane R., Askri F., Nasrallah S.B., Application of the lattice Boltzmann method for solving conduction problems with heat flux boundary condition, International Renewable Energy Congress, Sousse Tunisia 2009.
• [5] Piasecka Belkhayat A., The interval lattice Boltzmann method for transient heat transport, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2009, 1(8), 155-160.
• [6] Mochnacki B., Lara-Dziembek S., Weighted residua method as a tool of FDM algorithm construction, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2010, 1(9), 147-153.
• [7] Majchrzak E., Mochnacki B., Metody numeryczne. Podstawy teoretyczne, aspekty praktyczne i algorytmy, Wyd. Politechniki Śląskiej, Gliwice 2004.
• [8] Mochnacki B., Suchy J.S., Numerical Methods in Computations of Foundry Processes, PFTA, Cracow 1995.