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Träfflista för sökning "WFRF:(Wahlsten Markus) srt2:(2014)"

Search: WFRF:(Wahlsten Markus) > (2014)

  • Result 1-2 of 2
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1.
  • Nordström, Jan, et al. (author)
  • Boundary Conditions for Hyperbolic Systems of Equations on Curved Domains
  • 2014
  • Reports (other academic/artistic)abstract
    • Our focus in this paper is on the fundamental system of partial differential equation with boundary conditions (the continuous problem) that all types of numerical methods must respect. First, a constant coefficient hyperbolic system of equations which turns into a variable coefficient system of equations by transforming to a non-cartesian domain is considered. We discuss possible formulations of time-dependent boundary conditions leading to well-posed or strongly well-posed problems. Next, we re-use the previous theoretical derivations for the problem with boundary conditions applied at the wrong position and/or with an incorrect normal (a typical result with a less than perfect mesh generator). Possible error sources are discussed and a crude error estimate is derived.
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2.
  • Nordström, Jan, et al. (author)
  • Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations
  • 2014
  • Reports (other academic/artistic)abstract
    • We consider a hyperbolic system in one space dimension with uncertainty in the boundary and initial data. Our aim is to show that di erent boundary conditions gives different convergence rates of the variance of the solution. This means that we can with the same knowledge of data get a more or less accurate description of the uncertainty in the solution. A variety of boundary conditions are compared and both analytical and numerical estimates of the variance of the solution is presented. As an application, we study the effect of this technique on a subsonic outow boundary for the Euler equations.
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  • Result 1-2 of 2
Type of publication
reports (2)
Type of content
other academic/artistic (2)
Author/Editor
Nordström, Jan (2)
Wahlsten, Markus (2)
Nikkar, Samira (1)
University
Linköping University (2)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year
2014 (2)Undo refine

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