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Hdr Année : 2011

Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows

Résumé

In this work we review 12 years of developments in the field of residual based discretizations and their application to the solution of the shallow water equations. Fundamental concepts related to the topic are recalled and he construction of second and higher order schemes for steady problems is presented. The generalization to time dependent problems by means of multi-step implicit time integration, space-time, and genuinely explicit techniques is thoroughly discussed. Finally, the issues of C-property, super consistency, and wetting/drying are analyzed in this framework showing the power of the residual based approach.
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Dates et versions

tel-00651688 , version 1 (15-12-2011)
tel-00651688 , version 2 (07-03-2016)

Identifiants

  • HAL Id : tel-00651688 , version 2

Citer

Mario Ricchiuto. Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows. Numerical Analysis [math.NA]. Université Sciences et Technologies - Bordeaux I, 2011. ⟨tel-00651688v2⟩
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