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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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New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows stable and preserve positivity of density and internal energy. More importantly, their convergence towards a strong solution of the limit system has been proved rigorously in [., .]. We will demonstrate their accuracy and robustness on a series of numerical experiments.
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Recent Advances and Complex Applications of the Compressible Ghost-Fluid Methodted. We propose the use of a path-conservative scheme for the level-set transport in both the discontinuous Galerkin and the finite-volume framework. Additionally, improvements regarding the curvature calculation and velocity extrapolation are described. The modified scheme is validated by a compari
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Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numr the simulation of low Mach numbers. What is new, is that one of our two methods in addition is provably kinetic energy stable. Both methods are based on the entropy satisfying and kinetic energy consistent methods of [.]. The low Mach number compliance is achieved by rescaling some speed of sound
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Residual Based Method for Sediment Transport been used, couples shallow–water equations for the fluid flow and the Exner law for the sediment part. Thus, the choice of the approach by a non-conservative hyperbolic system has been made. Different schemes have already been applied to approximate the entropic solution for several test cases [.].
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Pseudo-compressibility, Dispersive Model and Acoustic Waves in Shallow Water Flows allow to capture the acoustic-like waves propagation and can be seen as a relaxation of an underlying incompressible model. The first interest of such a model is thus to capture both acoustic and water waves. The second interest lies in its numerical approximation. Indeed, at the discrete level, th
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