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Application of Boundary Element Method to Solution of Transient Heat Conduction

Werner-Juszczuk A. A., Sorko S. A.

Acta Mechanica et Automatica

2012

Vol. 6, no. 4

67-74

The object of this paper is the implementation of boundary element method to solving the transient heat transfer problem with nonzero boundary condition and particularly with periodic boundary condition. The new mathematical BEM algorithm for two dimensional transient heat conduction problem with periodic boundary condition is developed and verified. The results of numerical simulation of transient heat conduction in two dimensional flat plate under non zero initial condition are compared with results obtained with analytical method. Then the practical application of developed algorithm is presented, that is the solution of ground temperature distribution problem with oscillating temperature of ambient. All results were obtained with a new authoring computer program for solving transient heat conduction problem, written in Fortran.

Transient heat conduction by different versions of the Method of Fundamental Solutions – a comparison study

Kołodziej J. A. J. A., Mierzwiczak M.

Computer Assisted Mechanics and Engineering Sciences

2010

Vol. 17, no. 1

75-88

The computational accuracy of three versions of the method of fundamental solutions (MFS) is compared. The first version of MFS is based on the Laplace transformation of the governing differential equations and of the boundary conditions. The second version of MFS is based on the fundamental solution of the governing differential equation and discretization in time. The third method approximates the temperature time derivative by finite difference scheme. As the test problems the 2D boundary-initial-value problems (2D_BIVP) in square rectangular region ? with known exact solutions are considered. Our numerical experiments show that all discussed methods achieve relatively accurate approximate solution but the third one offers less computational complexity and better efficiency.

Badania nieustalonego przewodzenia ciepła w cienkowarstwowym betonowym akumulatorze energii przy jednoczesnym oddziaływaniu promieniowania słonecznego i konwekcyjnej wymianie ciepła

Sałaciński B., Pisarev V.

Zeszyty Naukowe Politechniki Rzeszowskiej. Budownictwo i Inżynieria Środowiska

2008

z. 48 [254]

55-67

Przedstawiono wyniki symulacji nieustalonego, jednowymiarowego przewodzenia ciepła w betonowym, cienkowarstwowym akumulatorze energii. Symulacje wykonane zostały w programie "Akumulator" dla czterech miesięcy roku. Obliczenia uwzględniały, że akumulator poddawany jest jednoczesnemu działaniu zewnętrznego promieniowania słonecznego oraz konwekcyjnej wymianie ciepła.

The paper presents results of a transient, one dimensional heat conduction simulation in a thin, concrete accumulator of energy. The simulation was carried out using the "Accumulator" program regarding four months of the year. Calculations have also taken into account that the accumulator simultaneously receives energy from the solar radiation and convection (both parameters were constantly changing in time).