Numerical Methods for Hyperbolic Equations

Preface P.D. Lax Foreword E.F. Toro Scientific committee Sponsors Thanks! I Invited lectures Santiago and the Jacobean pilgrimage at the height of the Middle Ages: Mentality and culture F. Singul Recent developments on the Lagrangian and remapping methods for compressible fluid flows J. Cheng & C.-W. Shu Coupling of nonlinear hyperbolic systems: A journey from mathematical to numerical issues F. Coquel Stochastic convergence and the software tool W* R. Kaufman, T. Kaman, Y. Yu & J. Glimm Numerical relativistic magnetohydrodynamics in dynamical spacetimes J.M*. Ibanez Initiation of reactive blast waves by external energy sources A. Linan, V. Kurdyumov & A.L. Sanchez Numerical performance of discontinuous and stabilized continuous Galerkin methods for convection-diffusion problems P.F. Antonietti & A. Quarteroni The Riemann problem in computational science E.F. Toro II Recent advances in the numerical computation of environmental conservation laws with source terms Finite volume discretisation of depth averaged scalar transport equations coupled to shallow water models L. Cea & M.E. Vazquez-Cendon Modeling of shallow curved flows with 3D unsteady RANS B. Fraga, E. Pena & L. Cea A finite volume/duality method for Bingham viscoplastic flow J.M. Gallardo, E.D. Fernandez-Nieto & P. Vigneaux Accounting for building effects in shallow waters: Porosity approach, resolved approach and Manning coefficient approach. Comparison and experimental validation M. Garrido, L. Cea, J. Puertas & M.E. Vazquez-Cendon A numerical approximation for a climatological model with dynamic and diffusive boundary condition A. Hidalgo & L. Tello A large time step upwind scheme for the shallow water equations with source terms M. Morales-Hernandez, J. Murillo, P. Garcia-Navarro & J. Burguete 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 J. Murillo & P. Garcia-Navarro III Multiphase flow and porous media Dynamics of submerged gravitational granular flows A. Armanini, M. Dumbser, E. Nucci & M. Larcher Three-phase Eulerian mixture formulation for the collapse of dense-suspension columns in ambient fluid P. Bohorquez Numerical simulation of three-dimensional transient variably saturated flow D. Caviedes-Voullieme, P. Garcia-Navarro & J. Murillo Modelling microbial chemo-tactic waves in saturated porous media using AMR S.A.E.G. Falle, N.F. Dudley-Ward & M.S. Olson Mathematical modeling of heat transfer during quenching process D.N. Passarella, F. Varas & E.B. Martin Conservative formulation for compressible fluid flow through elastic porous media E. Romenski On the coupling of compressible and incompressible fluids V. Schleper IV Numerical methods in astrophysics Partially implicit high order Runge-Kutta methods for wave-like equations in spherical-type coordinates I. Cordero-Carrion Approximate Harten-Lax-van Leer Riemann solvers for relativistic magnetohydrodynamics A. Mignone, G. Bodo & M. Ugliano MUSTA schemes in magnetohydrodynamics and neutrino transfer: Application to core-collapse supernovae and gamma-ray bursts M. Obergaulinger & M.A. Aloy V Seismology and geophysics modelling IFCP Riemann solver: Application to tsunami modelling using GPUs M.J. Castro, M. de la Asuncion, J. Macias, C. Pares, E.D. Fernandez-Nieto, J.M. Gonzalez-Vida & T. Morales Dispersive waves generated by an underwater landslide D. Dutykh, D. Mitsotakis, S. Beisel & N. Shokina Finite volume schemes for balance laws on time-dependent surfaces J. Giesselmann & M. Wiebe On multilayer shallow water systems T.C. Rebollo, E.D. Fernandez-Nieto & E.H. Kone VI High order methods for hyperbolic conservation laws Approximate solutions of generalized Riemann problems: The Toro-Titarev solver and the LeFloch-Raviart expansion C.R. Goetz & A. Iske CFL-Number-dependent TVD-Limiters F. Kemm Arbitrary high order schemes for transport problems B. Latorre & P. Garcia-Navarro Efficient numerical solution of the model kinetic equations V.A. Titarev High order approximations for hyperbolic conservation laws with random initial data S.A. Tokareva, S. Mishra & C. Schwab VII Finite volume and discontinous Galerkin schemes for stiff source term problems Some comments on the numerical approximation of hyperbolic nonconservative systems M.L. Munoz-Ruiz & C. Pares An explicit discontinuous Galerkin scheme based on a Runge-Kutta predictor with application to magnetohydrodynamics C. Altmann, G. Gassner & C.-D. Munz VIII Methods and models for biomedical problems Simulation of an epidemic model with nonlinear cross-diffusion S. Berres & R. Ruiz-Baier A simple model of filtration and macromolecule transport through microvascular walls L. Facchini, A. Bellin & E.F. Toro Some issues in modelling venous haemodynamics L. Muller, G. Montecinos & E.F. Toro Efficient algorithms for the solution of fluid-structure interaction problems in haemodynamic applications M. Pozzoli, C. Vergara & F. Nobile IX Numerical methods for reactive flows On the use of moving least squares for pressure discretization in low mach number flows X. Nogueira, I. Colominas, S. Khelladi, F. Bakir & J.-C. Chassaing Numerical simulation of a pulverized coal jet A. Bermudez, J.L. Ferrin, A. Linan & L. Saavedra A framework for flux-vector splitting schemes M.E. Vazquez-Cendon & E.F. Toro X Poster Extension of fourth-order non-oscillatory central schemes to sediment transport equations A. Balaguer-Beser, M.T. Capilla & Ll. Gascon First approach to the application of operational 4DVAR data assimilation to the regional ocean model system M. Cobas-Garcia, A. Gomez-Tato, C. Cotelo-Queijo, M.E. Vazquez-Cendon, P. Carracedo-Garcia, P. Costa, B. Gomez-Hombre, J. Trinanes-Fernandez & M. Ruiz-Villarreal Changes in buoyancy-driven instabilities using a reaction-diffusion system D.M. Escala, J. Guiu-Souto, J. Carballido-Landeira, A. Perez-Munuzuri & M.E. Vazquez-Cendon A mean gradient method to solve shallow flows J. Fe, F. Navarrina & L. Cueto-Felgueroso Upwind schemes for non-homogeneous hyperbolic conservation laws with stationary solutions Ll. Gascon, A. Balaguer-Beser & M.T. Capilla Viscous fingering instabilities in reactive miscible media J. Guiu-Souto, D.M. Escala, J. Carballido-Landeira, A. Perez-Munuzuri & E. Martin-Ortega Author index