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| Titel |
Energy balanced numerical schemes for numerical modelling of river morphodynamics |
| VerfasserIn |
Javier Murillo, Carmelo Juez, Pilar Garcia-Navarro |
| Konferenz |
EGU General Assembly 2014
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 16 (2014) |
| Datensatznummer |
250097733
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| Publikation (Nr.) |
 EGU/EGU2014-13344.pdf |
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| Zusammenfassung |
| Environmental flows involving river morphodynamics can be defined mathematically as
shallow type flows of hyperbolic nature. It is worth mentioning that realistic shallow type
flows are hyperbolic but not strictly hyperbolic. Their characteristics require the development
of novel numerical techniques. Among them, most advanced numerical predictive
methods consider the well-balanced property. This property is a particular case of a
more general one: the energy-balanced property. The energy-balanced property
has proven significant advantages in the case of fixed bed. Being only first order
accurate in time and space, leads to exact numerical solutions for steady solutions
in channels with general geometries with independence of the mesh refinement.
Energy-balanced schemes ensure convergence to the exact solution in Riemann problems
involving nonprismatic channels, bed variations and the resonance regime. When
modeling morphodynamics changes in a river bed, these variations are linked to
the amount of available energy that can be extracted from the flow. Bed material
mobilization is commonly expressed in terms of shear stress, responsible of the energy
dissipation. Considering that energy arguments in river morphodynamics are of great
importance, in this work a tentative description of energy balanced numerical schemes for
numerical modelling of river morphodynamics and their performance are provided. |
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