An intrusive hybrid method for discontinuous two-phase flow under uncertainty
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Publication:2016175
DOI10.1016/j.compfluid.2013.07.009zbMath1290.76158OpenAlexW2119635024MaRDI QIDQ2016175
Per Pettersson, Jan Nordström, Gianluca Iaccarino
Publication date: 19 June 2014
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-96372
Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
Review of summation-by-parts schemes for initial-boundary-value problems, Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media, Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations, Stochastic discrete equation method (SDEM) for two-phase flows
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Cites Work
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- A stable and conservative method for locally adapting the design order of finite difference schemes
- Uncertainty propagation using Wiener-Haar expansions
- Multi-resolution analysis of Wiener-type uncertainty propagation schemes
- Designing an efficient solution strategy for fluid flows. I: A stable high order finite difference scheme and sharp shock resolution for the Euler equations
- Numerical analysis of the Burgers' equation in the presence of uncertainty
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Summation by parts for finite difference approximations for \(d/dx\)
- Uncertainty analysis for the steady-state flows in a dual throat nozzle
- Summation by parts operators for finite difference approximations of second derivatives
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Spectral Methods for Uncertainty Quantification
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- Total variation diminishing Runge-Kutta schemes
- Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data
- Solution of stochastic partial differential equations using Galerkin finite element techniques
