Environmental hydrodynamics is typically characterized by free-surface hydrostatic flows. Within such a framework a set of simplified models are derived from the Reynolds averaged Navier- Stokes equations under various simplifying assumptions. Numerically, a simple method for the 1D open channel ow is derived first. This method is then extended to the 2Dxz laterally averaged model and to the 2Dxy vertically averaged model. Next, a semi-implicit method for the 3D model is described and discussed.
A review on advanced numerical methods for free-surface hydrodynamics / Casulli, V.; Zanolli, P.. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SCIENZE MATEMATICHE. - ISSN 1827-1510. - ELETTRONICO. - 68:2(2022), pp. 621-643. [10.1007/s11565-022-00406-9]
A review on advanced numerical methods for free-surface hydrodynamics
Casulli V.
;Zanolli P.
2022-01-01
Abstract
Environmental hydrodynamics is typically characterized by free-surface hydrostatic flows. Within such a framework a set of simplified models are derived from the Reynolds averaged Navier- Stokes equations under various simplifying assumptions. Numerically, a simple method for the 1D open channel ow is derived first. This method is then extended to the 2Dxz laterally averaged model and to the 2Dxy vertically averaged model. Next, a semi-implicit method for the 3D model is described and discussed.| File | Dimensione | Formato | |
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