000003725 001__ 3725
000003725 005__ 20141118153349.0
000003725 04107 $$acze
000003725 046__ $$k2008-05-12
000003725 100__ $$aCimrman, R.
000003725 24500 $$aSHAPE SENSITIVITY ANALYSIS FOR STABILIZED NAVIER-STOKES EQUATIONS

000003725 24630 $$n14$$pEngineering Mechanics 2008
000003725 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000003725 506__ $$arestricted
000003725 520__ $$2eng$$aThe paper contributes to solving optimal flow 3D problems in the context of laminar incompressible flows of Newtonian fluid in rigid ducts. A stabilization of the finite element solution is required in case of problems of low viscosity (air) flows. Analytical sensitivity formulae for extra terms originating from the stabilization of the finite element discretized Navier-Stokes equations are presented, since the analysis of flow sensitivity to shape changes of a fluid domain has a crucial influence on efficiency of a shape optimization algorithm. Preliminary numerical examples are shown, employing our theoretical results within a steepest descent optimization algorithm.

000003725 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003725 653__ $$a

000003725 7112_ $$aEngineering Mechanics 2008$$cSvratka (CZ)$$d2008-05-12 / 2008-05-15$$gEM2008
000003725 720__ $$aCimrman, R.$$iRohan, E.
000003725 8560_ $$ffischerc@itam.cas.cz
000003725 8564_ $$s3847424$$uhttps://invenio.itam.cas.cz/record/3725/files/Cimrman_FT.pdf$$y
             Original version of the author's contribution as presented on CD, , page 90.
            
000003725 962__ $$r3717
000003725 980__ $$aPAPER