Numerical simulation of shallow-water flow using a modified cartesian cut-cell approach / Hyung-Jun Kim in Journal of engineering mechanics, Vol. 136 N° 3 (Mars 2010)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 136 N° 3 (Mars 2010) . - pp. 399-404 Titre : Numerical simulation of shallow-water flow using a modified cartesian cut-cell approach Type de document : texte imprimé Auteurs : Hyung-Jun Kim, Auteur ; Lee, Jin Woo, Auteur ; Yong-Sik Cho, Auteur Article en page(s) : pp. 399-404 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Dam failures Shallow water Water flow Simulation. Résumé : The Cartesian cut-cell method can be used to represent irregular and complex computational domains with less computational efforts by cutting the grid cells on the boundary surfaces in a background uniform Cartesian mesh. In this study, a modified Cartesian cut-cell grid technique is proposed to better represent complex physical geometries. A point shifting treatment was employed to determine the start and end points of a line segment in cut-cell grids. This led to an improved representation of sharply-shaped corners in surface polygons. Numerical simulation to solve a set of shallow-water equations was performed by incorporating a finite volume approach into the Cartesian cut-cell mesh. The advective fluxes at intercells were first estimated by a Harten, Lax and van Leer for contact wave approximate Riemann solver. In order to improve the model accuracy to the second order, a total variation diminishing-weighted average flux method was applied to work adaptively with the cut-cell mesh. The numerical model was then employed to simulate dam-break flow propagation in a small channel with a rectangular obstacle or a 45° bend. The numerical results show good agreement with available laboratory measurements. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&ONLINE=YES&s [...] [article] Numerical simulation of shallow-water flow using a modified cartesian cut-cell approach [texte imprimé] / Hyung-Jun Kim, Auteur ; Lee, Jin Woo, Auteur ; Yong-Sik Cho, Auteur . - pp. 399-404. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 136 N° 3 (Mars 2010) . - pp. 399-404 Mots-clés : Dam failures Shallow water Water flow Simulation. Résumé : The Cartesian cut-cell method can be used to represent irregular and complex computational domains with less computational efforts by cutting the grid cells on the boundary surfaces in a background uniform Cartesian mesh. In this study, a modified Cartesian cut-cell grid technique is proposed to better represent complex physical geometries. A point shifting treatment was employed to determine the start and end points of a line segment in cut-cell grids. This led to an improved representation of sharply-shaped corners in surface polygons. Numerical simulation to solve a set of shallow-water equations was performed by incorporating a finite volume approach into the Cartesian cut-cell mesh. The advective fluxes at intercells were first estimated by a Harten, Lax and van Leer for contact wave approximate Riemann solver. In order to improve the model accuracy to the second order, a total variation diminishing-weighted average flux method was applied to work adaptively with the cut-cell mesh. The numerical model was then employed to simulate dam-break flow propagation in a small channel with a rectangular obstacle or a 45° bend. The numerical results show good agreement with available laboratory measurements. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&ONLINE=YES&s [...]

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