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A robust high-resolution finite volume scheme for the simulation of long waves over complex domains

Delis Anargyros, Kazolea Maria, Kampanis, Nikolaos A

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/04429909-045D-4572-87F5-A786210CB47F
Έτος 2008
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Λεπτομέρειες
Βιβλιογραφική Αναφορά A. I. Delis, M. Kazolea and N. A. Kampanis, "A robust high-resolution finite volume scheme for the simulation of long waves over complex domains," Int. J. Numer. Meth. Fluids, vol. 56, no. 4, pp. 419-452, Feb. 2008. doi:10.1002/fld.1537 https://doi.org/10.1002/fld.1537
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Περίληψη

The propagation, runup and rundown of long surface waves are numerically investigated, initially in one dimension, using a well-balanced high-resolution finite volume scheme. A conservative form of the nonlinear shallow water equations with source terms is solved numerically using a high-resolution Godunov-type explicit scheme coupled with Roe's approximate Riemann solver. The scheme is also extended to handle two-dimensional complex domains. The numerical difficulties related to the presence of the topography source terms in the model equations along with the appearance of the wet/dry fronts are properly treated and extended. The resulting numerical model accurately describes breaking waves as bores or hydraulic jumps and conserves volume across flow discontinuities. Numerical results show very good agreement with previously presented analytical or asymptotic solutions as well as with experimental benchmark data.

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