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You are here : eLibrary : IAHR World Congress Proceedings : 34th Congress - Brisbane (2011) : THEME 7: Hydroinformatics : A generalized reconstruction technique for the approximate solution of discontinuous bed shallow-wat...
A generalized reconstruction technique for the approximate solution of discontinuous bed shallow-water equations
Author : L. Cozzolino , R. Della Morte and D. Pianese
One-dimensional Shallow-water Equations are written considering, among the others, the hypotheses of hydrostatic pressure distribution and small bed slope: the system of hyperbolic equations which is obtained exhibits a geometric source term which is proportional to the nonconservative product of the water depth by the bed slope. Here, following the theory by Dal Maso, LeFloch and Murat, a numerical scheme is presented, which is well balanced and able to capture contact discontinuities due to bottom steps: the path used for the definition of the nonconservative product, able to represent the head losses encountered passing over the bottom discontinuity, is chosen in order to consider a hydrostatic pressure distribution acting onto the bed step.
File Size : 270,897 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 34th Congress - Brisbane (2011)
Article : THEME 7: Hydroinformatics
Date Published : 01/07/2011
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