A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data
type: Item
instance of: scholarly article
title: A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data
zbMATH Open document ID: 1351.76020
author: Per Pettersson
author: Jan Nordström
author: Alireza Doostan
published in: Journal of Computational Physics
publication date: 2016-12-20T00:00:00Z
Mathematics Subject Classification ID: 76D06
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 6666741
zbMATH Keywords: uncertainty quantification
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: summation-by-parts operators
zbMATH Keywords: stochastic Galerkin method
zbMATH Keywords: boundary conditions
MaRDI profile type: Publication
full work available at URL: j.jcp.2015.11.027
OpenAlex ID: W2123469196
cites work: Spectral Methods for Uncertainty Quantification
cites work: Q3997987
cites work: Q3583848
cites work: A stochastic projection method for fluid flow. I: Basic formulation
cites work: A stochastic projection method for fluid flow. II: Random process
cites work: Modeling uncertainty in flow simulations via generalized polynomial chaos.
cites work: Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions
cites work: Q4127319
cites work: Summation by parts for finite difference approximations for \(d/dx\)
cites work: Q4875410
cites work: Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
cites work: Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
cites work: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
cites work: A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
cites work: An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
cites work: On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity
cites work: Accurate partial difference methods. II: Non-linear problems
cites work: Initial-Boundary Value Problems and the Navier-Stokes Equations
cites work: Q3406169
cites work: A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
cites work: Stability of pressure boundary conditions for Stokes and Navier-Stokes equations
cites work: On coordinate transformations for summation-by-parts operators
cites work: A stable and conservative interface treatment of arbitrary spatial accuracy
cites work: Summation by parts operators for finite difference approximations of second derivatives
cites work: Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
cites work: Stable boundary treatment for the wave equation on second-order form
cites work: On the order of accuracy for difference approximations of initial-boundary value problems
DOI: 10.1016/J.JCP.2015.11.027
description: scientific article; zbMATH DE number 6666741