publication . Conference object . 2015

An Investigation of Uncertainty due to Stochastically Varying Geometry : An Initial Study

Markus Wahlsten; Jan Nordström;
Open Access Faroese
  • Published: 01 Jan 2015
  • Publisher: Linköpings universitet, Beräkningsmatematik
  • Country: Sweden
Abstract
We study hyperbolic problems with uncertain stochastically varying geometries. Our aim is to investigate how the stochastically varying uncertainty in the geometry affects the solution of the partial differential equation in terms of the mean and variance of the solution. The problem considered is the two dimensional advection equation on a general domain, which is transformed using curvilinear coordinates to a unit square. The numerical solution is computed using a high order finite difference formulation on summation-by-parts form with weakly imposed boundary conditions. The statistics of the solution are computed nonintrusively using quadrature rules given by...
Subjects
free text keywords: Quantification, Varying Geometry, Boundary Conditions, Hyperbolic Problems, Probability density function, Advection, Mathematics, Boundary value problem, Curvilinear coordinates, Geometry, Mathematical analysis, Finite difference, Quadrature (mathematics), Partial differential equation, Unit square
Related Organizations
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Conference object . 2015

An Investigation of Uncertainty due to Stochastically Varying Geometry : An Initial Study

Markus Wahlsten; Jan Nordström;