Central Schemes for Nonconservative Hyperbolic Systems
Copyright policy )Central Schemes for Nonconservative Hyperbolic Systems
Summary: We present a new approach to the construction of high order finite volume central schemes on staggered grids for general hyperbolic systems, including those not admitting a conservation form. The method is based on finite volume space discretization on staggered cells, central Runge-Kutta time discretization, and integration over a family of paths, associated to the system itself, for the generalization of the method to nonconservative systems. Applications to the one- and two-layer shallow water models as prototypes of systems of balance laws and systems with source terms and nonconservative products, respectively, will be illustrated.
- Sapienza University of Rome Italy
- University of Insubria Italy
- University of Catania Italy
- Università dell Insubria (Varese) Italy
Method of lines for initial value and initial-boundary value problems involving PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, nonconservative systems; hyperbolic systems; central difference schemes; high order accuracy; WENO reconstruction; Runge-Kutta methods., Finite volume methods applied to problems in fluid mechanics, nonconservative hyperbolic systems; central schemes; well-balanced schemes, high order accuracy, Initial value problems for first-order hyperbolic systems
Method of lines for initial value and initial-boundary value problems involving PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, nonconservative systems; hyperbolic systems; central difference schemes; high order accuracy; WENO reconstruction; Runge-Kutta methods., Finite volume methods applied to problems in fluid mechanics, nonconservative hyperbolic systems; central schemes; well-balanced schemes, high order accuracy, Initial value problems for first-order hyperbolic systems
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