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An intrusive hybrid method for discontinuous two-phase flow under uncertainty
Institute for Computational and Mathematical Engineering, Stanford University, USA and Department of Information Technology, Uppsala University, Sweden.
Institute for Computational and Mathematical Engineering, Stanford University, USA.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2013 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 86, 228-239 p.Article in journal (Refereed) Published
Abstract [en]

An intrusive stochastic projection method for two-phase time-dependent flow subject to uncertainty is presented. Numerical experiments are carried out assuming uncertainty in the location of the physical interface separating the two phases, but the framework generalizes to uncertainty with known distribution in other input data. Uncertainty is represented through a truncated multiwavelet expansion. We assume that the discontinuous features of the solution are restricted to computational subdomains and use a high-order method for the smooth regions coupled weakly through interfaces with a robust shock capturing method for the non-smooth regions. The discretization of the non-smooth region is based on a generalization of the HLL flux, and have many properties in common with its deterministic counterpart. It is simple and robust, and captures the statistics of the shock. The discretization of the smooth region is carried out with high-order finite-difference operators satisfying a summation-by-parts property.

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 86, 228-239 p.
Keyword [en]
Uncertainty quantification; Stochastic Galerkin method; Hybrid scheme; Summation by parts operators
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-96372DOI: 10.1016/j.compfluid.2013.07.009ISI: 000325834300021OAI: diva2:641081
Available from: 2013-08-15 Created: 2013-08-15 Last updated: 2013-11-14

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