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Träfflista för sökning "WFRF:(Wahlsten Markus) ;srt2:(2016)"

Search: WFRF:(Wahlsten Markus) > (2016)

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1.
  • Wahlsten, Markus (author)
  • Robust Boundary Conditions for Stochastic Incompletely Parabolic Systems of Equations
  • 2016
  • Reports (other academic/artistic)abstract
    • We study an incompletely parabolic system in three space dimensions with stochastic boundary and initial data. We show how the variance of the solution can be manipulated by the boundary conditions, while keeping the mean value of the solution unaffected. Estimates of the variance of the solution is presented both analytically and numerically. We exemplify the technique by applying it to an incompletely parabolic model problem, as well as the one-dimensional compressible Navier-Stokes equations.
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2.
  • Wahlsten, Markus, et al. (author)
  • The effect of uncertain geometries on advection-diffusion of scalar quantities
  • 2016
  • Reports (other academic/artistic)abstract
    • The two dimensional advection-diffusion equation in a stochastically varying geometry is considered. The varying domain is transformed into afixed one and the numerical solution is computed using a high-order finite difference formulation on summation-by-parts form with weakly imposed boundary conditions.Statistics of the solution are computed non-intrusively using quadrature rules given by the probability density function of the random variable. As a quality control, we prove that the continuous problem is strongly well-posed, that the semi-discrete problem is strongly stable and verify the accuracy of the scheme.The technique is applied to a heat transfer problem in incompressible flow. Statistical properties such as confidence intervals and variance of the solution in terms of two functionals are computed and discussed. We show that there is a decreasing sensitivity to geometric uncertainty as we gradually lower the frequency and amplitude of the randomness.
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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)
University
Linköping University (2)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year
2016 (2)Undo refine

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