A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data
DOI10.1016/j.jcp.2015.11.027zbMath1351.76020OpenAlexW2123469196MaRDI QIDQ729316
Alireza Doostan, Per Pettersson, Jan Nordström
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.11.027
boundary conditionsincompressible Navier-Stokes equationsuncertainty quantificationsummation-by-parts operatorsstochastic Galerkin method
Finite element methods applied to problems in fluid mechanics (76M10) Statistical solutions of Navier-Stokes and related equations (76D06)
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Cites Work
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- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- Stable boundary treatment for the wave equation on second-order form
- On the order of accuracy for difference approximations of initial-boundary value problems
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
- On coordinate transformations for summation-by-parts operators
- A stochastic projection method for fluid flow. II: Random process
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- Summation by parts operators for finite difference approximations of second derivatives
- Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations
- On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- Accurate partial difference methods. II: Non-linear problems
- Spectral Methods for Uncertainty Quantification
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Initial-Boundary Value Problems and the Navier-Stokes Equations
- Stability of pressure boundary conditions for Stokes and Navier-Stokes equations
- A stochastic projection method for fluid flow. I: Basic formulation
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