Uncertainty Propagation of the Shock Position for Hyperbolic PDEs Using a Sensitivity Equation Method

DOI10.1007/978-3-031-40860-1_14OpenAlexW4383046603MaRDI QIDQ6191832

Camilla Fiorini

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-40860-1_14

zbMATH Keywords

hyperbolic conservation lawsuncertainty propagationsensitivity equation methodshock position

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Optimality conditions for free problems in two or more independent variables (49K10) First-order hyperbolic equations (35L02)

Cites Work

• Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods
• Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions
• Machine learning design of volume of fluid schemes for compressible flows
• Sensitivity Analysis and Numerical Diffusion Effects for Hyperbolic PDE Systems with Discontinuous Solutions. The Case of Barotropic Euler Equations in Lagrangian Coordinates
• High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data
• A modified sensitivity equation method for the Euler equations in presence of shocks

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