The effect of uncertain geometries on advection-diffusion of scalar quantities
type: Item
instance of: scholarly article
title: The effect of uncertain geometries on advection-diffusion of scalar quantities
zbMATH Open document ID: 1398.35103
author: Markus Wahlsten
author: Jan Nordström
published in: BIT
publication date: 2018-06-26T00:00:00Z
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35L03
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6894734
zbMATH Keywords: incompressible flow
zbMATH Keywords: advection-diffusion
zbMATH Keywords: uncertainty quantification
zbMATH Keywords: uncertain geometry
zbMATH Keywords: boundary conditions
zbMATH Keywords: parabolic problems
zbMATH Keywords: variable coefficient
zbMATH Keywords: temperature field
zbMATH Keywords: heat transfer
MaRDI profile type: Publication
full work available at URL: s10543-017-0676-7
OpenAlex ID: W2566960894
Wikidata QID: Q59610977
cites work: A stochastic Lagrangian approach for geometrical uncertainties in electrostatics
cites work: A general two-equation macroscopic turbulence model for incompressible flow in porous media
cites work: A fictitious domain approach to the numerical solution of PDEs in stochastic domains
cites work: Numerical Conformal Mapping
cites work: Computational Modeling of Uncertainty in Time-Domain Electromagnetics
cites work: Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
cites work: The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.
cites work: Stochastic modeling of random roughness in shock scattering problems: theory and simulations
cites work: Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids
cites work: Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty
cites work: Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
cites work: Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
cites work: Well-Posed Boundary Conditions for the Navier--Stokes Equations
cites work: Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations
cites work: Prediction of geometric uncertainty effects on fluid dynamics by polynomial chaos and fictitious domain method
cites work: A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
cites work: Numerical analysis of the Burgers' equation in the presence of uncertainty
cites work: A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data
cites work: Q5806450
cites work: On the order of accuracy for difference approximations of initial-boundary value problems
cites work: Review of summation-by-parts schemes for initial-boundary-value problems
cites work: Q3538688
cites work: Numerical Methods for Differential Equations in Random Domains
DOI: 10.1007/S10543-017-0676-7
description: scientific article; zbMATH DE number 6894734