Finite element method for moving boundary problems in river flow

Kawahara, Mutsuto; Umetsu, Tsuyoshi

doi:10.1002/fld.1650060605

Cited by 100 publications

(42 citation statements)

References 5 publications

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“…The problem, which was proposed by Kawahara and Umetsu (1986) m with initial water depth  = 1.875 m, while the rest of the channel is considered dry. Three humps are located in the channel bottom.…”

Section: Dam-break Flooding Over Three Humpsmentioning

confidence: 99%

Well-Balanced Finite Volume Scheme for Shallow Water Flooding and Drying Over Arbitrary Topography

Huang

Zhang

Pei

2013

Engineering Applications of Computational Fluid Mechanics

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ABSTRACT:The depth-averaged shallow water equations based on Godunov-type finite volume method are developed for unsteady flow over arbitrary topography with moving lateral boundaries caused by flooding or recession. An HLLC approximate Riemann solver is invoked to evaluate fluxes. A linear reconstruction procedure with WBAP-L1 limiter and modified 4 stages Runge-Kutta time stepping are employed to provide a second order accuracy that is free from spurious oscillations. Also, a robust technique is presented to efficiently and accurately simulate the movement of wet/dry fronts. The model predictions are compared with analytical solutions, experimental data and a two-dimensional dam-break event. Numerical results show that the model performs satisfactorily with respect to its effectiveness and robustness and thus has good application prospects.

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Section: Dam-break Flooding Over Three Humpsmentioning

confidence: 99%

Well-Balanced Finite Volume Scheme for Shallow Water Flooding and Drying Over Arbitrary Topography

Huang

Zhang

Pei

2013

Engineering Applications of Computational Fluid Mechanics

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“…이 외에도 자연하천에서의 마름/젖음 처리를 위해서 Benque et al (1982)은 ADI (Alternating Direction Implicit)를 이용한 유한차분법을 개발하였으나 이 기법 은 유속과 수위가 급격히 변하는 경우에는 부정확한 해를 도출하였다 (Kawahara and Umetsu, 1986). Samuels (1985)는 홍수터에서의 부정류 해석을 위해서 유한요소기법을 이용하였고, Katopodes (1987) …”

Section: 서 론unclassified

Development of Grid Reconstruction Method to Simulate Drying/Wetting in Natural Rivers (II): Model Application and Comparison

Choi¹,

Kim²,

Hwang³

et al. 2009

Journal of Korea Water Resources Association

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The objective of this study is to examine validation of Grid Reconstruction Method, which is developed to simulate drying/wetting in complex natural rivers with wetting and drying domain areas.To verify application of the developed model, the model was applied to natural rivers with wetting and drying domain areas such as Han river and Nakdong river. The simulation results have shown good agreements with observed data and the results for the developed model were more accurate and improved stability of numerical computation than those of RMA-2 model. If the analysis of contaminant advection-diffusion and sediment transport are performed with the study results, the results can be effectively applied to river flow analysis and ecological hydraulics.

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“…On peut en attendre une précision moyenne de 10 % sur les vitesses intégrées verticalement. Cette méthode est devenue au cours de la dernière décennie un outil reconnu scientifiquement pour la simulation des écoulements dans les rivières, les fleuves et les estuaires (voir entre autres HERRLING, 1982 ;KAWAHARA et UMETSU, 1986 ;LECLERC et ai, 1987, 1990b, c).…”

Section: Modèle Hydrodynamique Bidimensionnel De Saint-venantunclassified

Méthodologie d'analyse détaillée de la contamination par tronçon du fleuve Saint-Laurent par modélisation numérique : le cas du lac Saint-Pierre

Leclerc¹,

Boudreault²

2005

rseau

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Dans le cadre du Plan d'Action Saint-Laurent, une méthodologie détaillée d'analyse de la contamination par tronçon faisant appel à la modélisation numérique a été développée. Une méthode de simulation utilisant le mouvement aléatoire de particules a servi à élaborer le logiciel PANACHE. Les concentrations sont obtenues en post-traitement en attribuant une masse de contaminant aux particules du modèle. Les champs de vitesses servant à calculer leurs mouvements sont produits à l'aide d'un modèle bidimensionnel aux éléments finis. Une nouvelle approche pour l'analyse de la contamination est proposée. Celle-ci s'inspire de la méthodologie de modélisation des micro-habitats populaire dans le domaine de l'hydrobiologie. Le résultat apparaît sous la forme d'Aires Pondérées Inutilisables (API), c'est-à-dire, des surfaces où certains critères de qualité de l'eau ne sont pas respectés dans les zones de mélange. Ce système Informatisé a été élaboré sur une plate-forme INTEL/386-486 - OS2/PM.

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Finite element method for moving boundary problems in river flow

Cited by 100 publications

References 5 publications

Well-Balanced Finite Volume Scheme for Shallow Water Flooding and Drying Over Arbitrary Topography

Well-Balanced Finite Volume Scheme for Shallow Water Flooding and Drying Over Arbitrary Topography

Development of Grid Reconstruction Method to Simulate Drying/Wetting in Natural Rivers (II): Model Application and Comparison

Méthodologie d'analyse détaillée de la contamination par tronçon du fleuve Saint-Laurent par modélisation numérique : le cas du lac Saint-Pierre

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