Non-intrusive Uncertainty Propagation with Error Bounds for Conservation Laws Containing Discontinuities

DOI10.1007/978-3-319-00885-1_1zbMath1276.76071OpenAlexW98484549MaRDI QIDQ2864842

Timothy J. Barth

Publication date: 26 November 2013

Published in: Uncertainty Quantification in Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00885-1_1

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Stochastic analysis applied to problems in fluid mechanics (76M35) Gas dynamics (general theory) (76N15)

Related Items

Weighted essentially non-oscillatory stochastic Galerkin approximation for hyperbolic conservation laws ⋮ Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws ⋮ Uncertainty Quantification of Store-Separation Simulation Due to Ejector Modeling Using a Monte Carlo Approach with Kriging Model ⋮ A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty ⋮ Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries ⋮ On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime ⋮ Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws ⋮ A third order hierarchical basis WENO interpolation for sparse grids with application to conservation laws with uncertain data ⋮ A non-intrusive B-splines Bézier elements-based method for uncertainty propagation ⋮ Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme ⋮ On the computation of measure-valued solutions

Uses Software

• QUADPACK
• OVERFLOW

Cites Work

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