Sensitivity Analysis and Numerical Diffusion Effects for Hyperbolic PDE Systems with Discontinuous Solutions. The Case of Barotropic Euler Equations in Lagrangian Coordinates

DOI10.1137/17M1140807zbMath1417.65159OpenAlexW2780387439WikidataQ128873272 ScholiaQ128873272MaRDI QIDQ4560711

Régis Duvigneau, Camilla Fiorini, Christophe Chalons

Publication date: 7 December 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1140807

zbMATH Keywords

sensitivity analysishyperbolic equationsGodunov scheme\(p\)-system1D wave propagation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (3)

Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity ⋮ A modified sensitivity equation method for the Euler equations in presence of shocks ⋮ Uncertainty Propagation of the Shock Position for Hyperbolic PDEs Using a Sensitivity Equation Method

Uses Software

• HLLE
• HE-E1GODF

Cites Work

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• On optimum design in fluid mechanics

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