000003549 001__ 3549
000003549 005__ 20141118153355.0
000003549 04107 $$acze
000003549 046__ $$k2006-05-15
000003549 100__ $$aPohanka, M.
000003549 24500 $$aEstimation of discretization error in time and space domain of numerical heat conduction

000003549 24630 $$n12.$$pENGINEERING MECHANICS 2006
000003549 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, v.v.i., Prague
000003549 506__ $$arestricted
000003549 520__ $$2eng$$aThe numerical approach requires some simplification of continuous physical systems. The simplification is used for the object, its boundary conditions, and the time domain. The approach that uses stress energy in mechanics can analogically be applied to the finite difference method of the unsteady heat conduction with temperature dependent material properties where the boundary conditions are assumed to be constant within one time step. Estimation of discretization error of the boundary conditions in the time domain, and of mesh discretization error in both the space and time domain is described in the paper. Some numerical tests are presented and method for discretization optimization is proposed.

000003549 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003549 653__ $$a

000003549 7112_ $$aENGINEERING MECHANICS 2006$$cSvratka (CZ)$$d2006-05-15 / 2006-05-18$$gEM2006
000003549 720__ $$aPohanka, M.
000003549 8560_ $$ffischerc@itam.cas.cz
000003549 8564_ $$s391936$$uhttps://invenio.itam.cas.cz/record/3549/files/Pohanka-164-PT.pdf$$y
             Original version of the author's contribution as presented on CD, , paper No. 164.
            
000003549 962__ $$r3410
000003549 980__ $$aPAPER