Numerical methods for balance laws and non-conservative hyperbolic systems
Numerical methods for balance laws and non-conservative hyperbolic systems
Numerical methods for balance laws and non-conservative hyperbolic systems
Organizers: Escalante Sánchez, Cipriano (Universidad de Córdoba) and Castro Díaz, Manuel Jesús (Universidad de Málaga)
Abstract
Balance laws and non-conservative hyperbolic systems naturally appear in many real world applications and, in particular, in many fluid models in different contexts: shallow water models, multiphase flow models, gas dynamic, etc. The main goal of the minisymposium will be the discussion and presentation of state-of-the-art computational and numerical methods for balance laws and nonconservative hyperbolic systems and their applications.
Keywords: Finite volume methods; Finite difference methods; Discontinuous Galerkin methods; High-order methods; Well-balanced methods; Structure preserving methods; Balance laws; Nonconservative hyperbolic systems
Session 5. Tuesday 18:00-20:00. Room A6.
Chair: Castro Díaz, Manuel Jesús (Universidad de Málaga)
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Speaker |
Organization |
Contribution title |
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Hidalgo, Arturo |
Universidad Politécnica de Madrid |
A finite volume ADER-LSTDG scheme for a global climate model |
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Gallardo, José M. |
Universidad de Málaga |
Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems |
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Del Grosso, Alessia |
Université Versailles
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On second-order well-balanced Lagrange-projection schemes for shallow water Exner system |
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Macca, Emanuele |
University of Catania |
Adaptive Compact Approximate Taylor Methods |
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Session 6. Wednesday 10:30-12:10. Room A6.
Chair: Escalante Sánchez, Cipriano (Universidad de Córdoba)
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Speaker |
Organization |
Contribution title |
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Caballero Cárdenas, Celia |
Universidad de Málaga |
A semi-implicit LP finite volume scheme exactly well-balanced for 1D shallow-water system |
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Checa, Antonio |
Universidad de Málaga |
Well balanced high order finite volume schemes for 1D balance laws defined on plain curves |
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Gómez Bueno, Irene |
Universidad de Málaga |
Collocation methods for high-order well-balanced methods for one-dimensional systems of balance laws |
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Pimentel García, Ernesto |
Universidad de Málaga |
Well-balanced algorithms for relativistic fluids on a Schwarzschild background |
Session 7. Thursday 11:30-13:35. Room A3.
Chair: Castro Díaz, Manuel Jesús (Universidad de Málaga)
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Speaker |
Organization |
Contribution title |
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Dumbser, Michael |
University of Trento |
On structure-preserving schemes for continuum mechanics |
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Busto Ulloa, Saray |
University of Trento |
ADER discontinuous Galerkin schemes for first order reformulations of dispersive models |
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Parés Pulido, Carlos |
ETH Zürich |
Well-balanced high-order finite difference methods for systems of balance laws |
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Escalante Sánchez, Cipriano |
Universidad de Córdoba |
Numerical approximation of dispersive shallow flows on spherical coordinates |
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