An intrusive hybrid method for discontinuous two-phase flow under uncertainty

Per Pettersson, Gianluca Iaccarino, Jan Nordström

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)228-239
Number of pages12
JournalComputers and Fluids
Publication statusPublished - 5 Nov 2013
Externally publishedYes


  • Hybrid scheme
  • Stochastic Galerkin method
  • Summation by parts operators
  • Uncertainty quantification

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering


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