Numerical Methods for Hyperbolic Equations

Elena Vázquez-Cendón, Arturo Hidalgo, Pilar Garcia Navarro, Luis Cea

• Publisher: CRC Press
• Year: 2012
• Print ISBN: 9780415621502
• eBook ISBN: 9781136751912
• Edition: 1
• Topic: Mathematics
• Subtopic: Environmental Science
• Index: Mathematics

Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover

Table of contents

• Cover
• Half title
• Title Page
• Copyright Page
• Table of contents
• Preface
• Foreword
• Frontmatter
• Scientific committee
• Sponsors
• Thanks!
• Santiago and the Jacobean pilgrimage at the height of the Middle Ages: Mentality and culture
• Recent developments on the Lagrangian and remapping methods for compressible fluid flows
• Coupling of nonlinear hyperbolic systems: A journey from mathematical to numerical issues
• Stochastic convergence and the software tool W*
• Numerical relativistic magnetohydrodynamics in dynamical spacetimes
• Initiation of reactive blast waves by external energy sources
• Numerical performance of discontinuous and stabilized continuous Galerkin methods for convection-diffusion problems
• The Riemann problem in computational science
• Finite volume discretisation of depth averaged scalar transport equations coupled to shallow water models
• Modeling of shallow curved flows with 3D unsteady RANS
• A finite volume/duality method for Bingham viscoplastic flow
• Accounting for building effects in shallow waters: Porosity approach, resolved approach and Manning coefficient approach. Comparison and experimental validation
• A numerical approximation for a climatological model with dynamic and diffusive boundary condition
• A large time step upwind scheme for the shallow water equations with source terms
• Augmented Roe’s approaches for Riemann problems including source terms: Definition of stability region with application to the shallow water equations with rigid and deformable bed
• Dynamics of submerged gravitational granular flows
• Three-phase Eulerian mixture formulation for the collapse of dense-suspension columns in ambient fluid
• Numerical simulation of three-dimensional transient variably saturated flow
• Modelling microbial chemo-tactic waves in saturated porous media using AMR
• Mathematical modeling of heat transfer during quenching process
• Conservative formulation for compressible fluid flow through elastic porous media
• On the coupling of compressible and incompressible fluids
• Partially implicit high order Runge-Kutta methods for wave-like equations in spherical-type coordinates
• Approximate Harten-Lax-van Leer Riemann solvers for relativistic magnetohydrodynamics
• MUSTA schemes in magnetohydrodynamics and neutrino transfer: Application to core-collapse supernovae and gamma-ray bursts
• IFCP Riemann solver: Application to tsunami modelling using GPUs
• Dispersive waves generated by an underwater landslide
• Finite volume schemes for balance laws on time-dependent surfaces
• On multilayer shallow water systems
• Approximate solutions of generalized Riemann problems: The Toro-Titarev solver and the LeFloch-Raviart expansion
• CFL-Number-dependent TVD-Limiters
• Arbitrary high order schemes for transport problems
• Efficient numerical solution of the model kinetic equations
• High order approximations for hyperbolic conservation laws with random initial data
• Some comments on the numerical approximation of hyperbolic nonconservative systems
• An explicit discontinuous Galerkin scheme based on a Runge-Kutta predictor with application to magnetohydrodynamics
• Simulation of an epidemic model with nonlinear cross-diffusion
• A simple model of filtration and macromolecule transport through microvascular walls
• Some issues in modelling venous haemodynamics
• Efficient algorithms for the solution of fluid-structure interaction problems in haemodynamic applications
• On the use of moving least squares for pressure discretization in low mach number flows
• Numerical simulation of a pulverized coal jet
• A framework for flux-vector splitting schemes
• Extension of fourth-order non-oscillatory central schemes to sediment transport equations
• First approach to the application of operational 4DVAR data assimilation to the regional ocean model system
• Changes in buoyancy-driven instabilities using a reaction-diffusion system
• A mean gradient method to solve shallow flows
• Upwind schemes for non-homogeneous hyperbolic conservation laws with stationary solutions
• Viscous fingering instabilities in reactive miscible media