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SIAMAM
2010
82views more  SIAMAM 2010»
13 years 5 months ago
Wave Propagation in Multicomponent Flow Models
We consider systems of hyperbolic balance laws governing flows of an arbitrary number of components equipped with general equations of state. The components are assumed to be immi...
Tore Flåtten, Alexandre Morin, Svend Tollak ...
SIAMAM
2011
13 years 2 months ago
A General Phase Transition Model for Vehicular Traffic
An extension of the Colombo phase transition model is proposed. The congestion phase is described by a two-dimensional zone defined around an equilibrium flux known as the classi...
Sebastien Blandin, Daniel B. Work, Paola Goatin, B...
JCAM
2010
116views more  JCAM 2010»
13 years 2 months ago
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods
A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced. A local Taylor basis is employed to express the approximate solution in term...
Dmitri Kuzmin
NHM
2010
71views more  NHM 2010»
13 years 2 months ago
Some attempts to couple distinct fluid models
We present in this paper a review of some recent work dedicated to the numerical interfacial coupling of fluid models. One main motivation of the whole work is to provide some mean...
Jean-Marc Hérard, Olivier Hurisse
SIAMADS
2010
97views more  SIAMADS 2010»
13 years 2 months ago
Localized Instability and Attraction along Invariant Manifolds
Abstract. We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriate...
George Haller, Themistoklis Sapsis