التفاصيل البيبلوغرافية
| العنوان: |
A well-balanced spectral volume scheme with the wetting--drying property for the shallow-water equations. |
| المؤلفون: |
Cozzolino, Luca, Morte, Renata Della, Giudice, Giuseppe Del, Palumbo, Anna, Pianese, Domenico |
| المصدر: |
Journal of Hydroinformatics; 2012, Vol. 14 Issue 3, p745-760, 16p |
| مصطلحات موضوعية: |
SHALLOW-water equations, BODIES of water, NONNEGATIVE matrices, WATER depth, WETTING, DRYING, PROBLEM solving |
| مستخلص: |
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and the swash zone in coastal flows. Physically congruent solutions are characterized by non-negative water depth, and many numerical methods may fail to preserve this property at the discrete level when moving wet-dry transitions are present in the physical domain. In this paper, we present a spectral-volume method for the approximate solution of the one-dimensional shallow-water equations, which is third-order accurate in wet regions, far from discontinuities, and which is well balanced for water at rest states: the stability of the solution is ensured if reconstruction and limitation of variables preserves non-negativity of the depth and a suitable constraint for the time step length is satisfied. A number of numerical experiments are reported, showing the promising capabilities of the model to solve problems with non-trivial topographies and friction. [ABSTRACT FROM AUTHOR] |
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