000004665 001__ 4665
000004665 005__ 20141119144543.0
000004665 04107 $$aeng
000004665 046__ $$k2002-06-02
000004665 100__ $$aHuyse, Luc
000004665 24500 $$aA PROBABILISTIC TREATMENT OF UNCERTAIN BOUNDARY CONDITIONS IN CFD APPLICATIONS

000004665 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004665 260__ $$bColumbia University in the City of New York
000004665 506__ $$arestricted
000004665 520__ $$2eng$$aThe computation of stochastic solutions to model equations in CFD applications faces some specific challenges, which are different from many SFEM applications in structural mechanics. Frequently, in CFD applications the differential equations have to be integrated over an infinite or semi-infinite domain. In practice the integration domain is cut-off at some “far field” boundary. Sometimes deterministic correction methods for the introduced error exist. In this paper, we assess the impact of the uncertainty modeling on the far field boundaries on the statistics of the solution in the interior of the integration domain. We anticipate that the developed techniques will also be of interest to geotechnical and other applications where one can find (semi-)infinite domains. The nonlinear generalized Burgers equation is used as a model problem. We model the viscosity as a homogeneous random field. For selected expressions of the flux, there is an analytical closed-form solution for the deterministic equation. This exact solution is the gold standard against which numerical results obtained using the midpoint and locally averaged discretization method or polynomial chaos expansions, are compared. We assess the convergence of the algorithms in terms of the number of grid cells, the order of the chaos, and the quality of the boundary condition modeling.

000004665 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004665 653__ $$aBoundary Condition Uncertainty, Stochastic CFD, Random Fields, Polynomial Chaos.

000004665 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004665 720__ $$aHuyse, Luc$$iWalters, Robert W.
000004665 8560_ $$ffischerc@itam.cas.cz
000004665 8564_ $$s445864$$uhttps://invenio.itam.cas.cz/record/4665/files/133.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004665 962__ $$r4594
000004665 980__ $$aPAPER