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Titel A new, generalized discontinuous approach in numerical modeling: principles and applications
VerfasserIn Florent Henri Lyard
Konferenz EGU General Assembly 2013
Medientyp Artikel
Sprache Englisch
Digitales Dokument PDF
Erschienen In: GRA - Volume 15 (2013)
Datensatznummer 250081385
 
Zusammenfassung
Discontinuous methods for ocean modeling exist for many years now, such as discontinuous Galerkin or finite differences. A new approach, that can be seen as an extension of distribution theory, has been developed in the aim to offer a general and formal frame to unify most of the existing types of discretisation and numerical methods used in ocean modeling. The basics of this new approach, based on the definition of a new integral measure that is compatible with the usual integration rules, will be presented. Its applications to some typical numerical issues (such as the pressure gradient inconsistency in generalized sigma models) will illustrate its potential interest for numerical modeling, either to design new numerical schemes or to analyze existing ones.