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Title: A well-posed and stable stochastic Galerkin formulation of the incompressible Navier–Stokes equations with random data

Journal Article · · Journal of Computational Physics
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Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
SC0006402
OSTI ID:
1359287
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 306 Journal Issue: C; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (21)

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Stability of Pressure Boundary Conditions for Stokes and Navier–Stokes Equations journal September 2001
Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos journal October 2001
A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy journal January 1999
Modeling uncertainty in flow simulations via generalized polynomial chaos journal May 2003
Boundary conditions for a divergence free velocity–pressure formulation of the Navier–Stokes equations journal July 2007
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations journal November 2005
Summation by parts operators for finite difference approximations of second derivatives journal September 2004
Verification of Codes and Calculations journal May 1998
Stable Boundary Treatment for the Wave Equation on Second-Order Form journal July 2009
Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes journal April 1994
On the order of accuracy for difference approximations of initial-boundary value problems journal October 2006
Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions journal January 2004
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002
Determinants of Block Matrices journal November 2000
A Fourth-Order Accurate Method for the Incompressible Navier-Stokes Equations on Overlapping Grids journal July 1994
A Stochastic Projection Method for Fluid Flow journal September 2002
Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients journal September 2011

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