Titlebook: Recent Advances in Numerical Methods for Hyperbolic PDE Systems; NumHyp 2019 María Luz Muñoz-Ruiz,Carlos Parés,Giovanni Russo Conference pr

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Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numd on the entropy satisfying and kinetic energy consistent methods of [.]. The low Mach number compliance is achieved by rescaling some speed of sound terms in the diffusion matrix in the spirit of [.]. In numerical tests we demonstrate the low Mach number compliance and the entropy stability of the proposed fluxes.

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Entropy–Based Methods for Uncertainty Quantification of Hyperbolic Conservation Lawsortantly, we indicate how intrusive entropy-based closures can be made competitive. We show several numerical test cases and discuss the advantages and disadvantages of several uncertainty propagation methods.

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A Staggered Pressure Correction Numerical Scheme to Compute a Travelling Reactive Interface in a Parphysical bounds and satisfy a conservative weakly-consistent discrete total energy balance equation. Numerical evidence shows that they converge to the solution of the infinitely fast chemistry continuous problem when the chemical time scale tends to zero with the space and time steps.

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Pseudo-compressibility, Dispersive Model and Acoustic Waves in Shallow Water Flowse pseudo-compressibility terms circumvent the resolution of an elliptic equation to capture the non-hydrostatic part of the pressure. This drastically reduces the cost of the numerical resolution of dispersive models especially in 2d and 3d.

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A Generalised Serre-Green-Naghdi Equations for Variable Rectangular Open Channel Hydraulics and Its uneven bottom. The section-averaged model is asymptotically consistent with the Euler system in terms of mass, momentum, and energy equation which provides the richness of content for this model. We propose a well-balanced finite volume approximation and we present some numerical results to show the influence of the section variation.