A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems

DOI10.1007/s10596-014-9464-5zbMath1396.65126OpenAlexW2037758913MaRDI QIDQ723106

Christian Rohde, Ilja Kröker, Wolfgang Nowak

Publication date: 30 July 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-014-9464-5

zbMATH Keywords

uncertainty quantificationpolynomial chaos expansionstochastic Galerkinflow problems in porous mediahybrid stochastic Galerkin

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Computational methods for problems pertaining to geophysics (86-08) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media ⋮ Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario ⋮ Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark ⋮ Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems ⋮ multiUQ: an intrusive uncertainty quantification tool for gas-liquid multiphase flows ⋮ Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations ⋮ Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model

Uses Software

• ALBERTA
• Triangle

Cites Work

• Unnamed Item
• Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
• Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
• Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems
• Uncertainty quantification for systems of conservation laws
• Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• On vanishing viscosity approximation of conservation laws with discontinuous flux
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data
• On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure
• Stochastic Modeling for Heterogeneous Two-Phase Flow
• A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit
• EXISTENCE OF STRONG TRACES FOR GENERALIZED SOLUTIONS OF MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
• Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws
• The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute
• An Introduction to the Numerics of Flow in Porous Media using Matlab
• Hyperbolic Conservation Laws in Continuum Physics

This page was built for publication: A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems