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Dijital Arşivi

Evaluation of time integration algorithms for the semidiscretized heat conduction equation

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dc.contributor Graduate Program in Mechanical Engineering.
dc.contributor.advisor Kalenderoğlu, Vahan.
dc.contributor.author Öncü, Sabri.
dc.date.accessioned 2023-03-16T11:17:45Z
dc.date.available 2023-03-16T11:17:45Z
dc.date.issued 1986.
dc.identifier.other ME 1986 On11
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/15166
dc.description.abstract Finite element space discretization of heat conduction equation is briefly outlined, stability and convergence characteristics of relevant time integration methods are discussed. For the numerical integration of the semidiscretized heat conduction equation, several computer programs implementing the adopted one and two step methods are developed. A series of experiments are made and overall nine different integration algorithms are compared on the basis of accuracy and computational efficiency. Based on the results of the experiments, it has been concluded that the Crank-Nicholson method in conjuction with the smoothing process proposed by Zienkiewicz and the two-step Galerkin and Liniger methods with the starting procedure which involves starting the method with the known steady conditions prevailing for time less than zero are superior to the other methods investigated.
dc.format.extent 30 cm.
dc.publisher Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1986.
dc.relation Includes appendices.
dc.relation Includes appendices.
dc.subject.lcsh Heat -- Conduction.
dc.subject.lcsh Heat equation.
dc.subject.lcsh Finite element method.
dc.title Evaluation of time integration algorithms for the semidiscretized heat conduction equation
dc.format.pages xiv, 105 leaves;


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