Recent Advances in Numerical Methods for Hyperbolic PDE Systems : NumHyp 2019 / edited by María Luz Muñoz-Ruiz, Carlos Parés, Giovanni Russo.

Format:

Book

Contributor:

Russo, Giovanni, 1958-...., editor.

Parés, Carlos, editor.

Muñoz-Ruiz, María Luz, editor.

Series:

SEMA SIMAI Springer Series, 2199-305X ; 28

Language:

English

Subjects (All):

Numerical analysis.

Mathematical analysis.

Mathematics.

Computer science--Mathematics.

Computer science.

Mathematics--Data processing.

Numerical Analysis.

Analysis.

Applications of Mathematics.

Mathematical Applications in Computer Science.

Computational Mathematics and Numerical Analysis.

Local Subjects:

Numerical Analysis.

Analysis.

Applications of Mathematics.

Mathematical Applications in Computer Science.

Computational Mathematics and Numerical Analysis.

Physical Description:

1 online resource (272 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.

Contents:

Part I: Numerical methods for general problems

1 J.M. Gallardo et al., Incomplete Riemann solvers based on functional approximations to the absolute value function

2 M. Frank et al., Entropy-based methods for uncertainty quantification of hyperbolic conservation laws

3 I. Gomez Bueno et al., Well-balanced reconstruction operator for systems of balance laws: numerical implementation

4 V. Michel-Dansac and A. Thomann, On high-precision L?-stable IMEX schemes for scalar hyperbolic multi-scale Equations

Part II: Numerical methods for speci_c problems

5 D. Grapsas et al., A staggered preassure correction numerical scheme to compute a travellimg reactive interface in a partially premixed mixture

6 M. Lukacova et al., New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows

7 S. Jöns et al., Recent Advances and Complex Applications of the Compressible Ghost-Fluid Method

8 J. P. Berberich and C. Klingenberg, Entropy Stable Numerical Fluxes for CompressibleEuler Equations which are Suitable for All Mach Numbers

9 P. Poullet et al., Residual based method for sediment transport

Part III: New ow models

10 B. B. Dhia et al., Pseudo-compressibility, dispersive model and acoustic waves in shallow water flows

11 M. Ali Debyaoui and M. Ersoy, A Generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation.

Notes:

Includes bibliographical references and index.

ISBN:

3-030-72850-1

OCLC:

1255181817