Merging and colliding bores

被引:14
作者
Bestehorn, Michael [1 ]
Tyvand, Peder A. [2 ]
机构
[1] Brandenburg Tech Univ Cottbus, Dept Theoret Phys 2, D-03013 Cottbus, Germany
[2] Norwegian Univ Life Sci, Dept Math Sci & Technol, N-1432 As, Norway
关键词
channel flow; Laplace equations; water waves; FREE-SURFACE; WATER-WAVES; FLUID; INTERFACES; FLOWS; SINK;
D O I
10.1063/1.3115909
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Interactions between two undular bores in a long rectangular channel are studied by solving the two-dimensional Laplace equation with fully nonlinear free-surface conditions. Each bore is generated by a steady bottom source or sink that is turned on impulsively. Two types of nonlinear interaction between bores are investigated: (1) The merging of two bores that move in the same direction. (2) The collision of two bores that move in opposite directions.
引用
收藏
页数:11
相关论文
共 28 条
[1]   Diffuse-interface methods in fluid mechanics [J].
Anderson, DM ;
McFadden, GB ;
Wheeler, AA .
ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :139-165
[2]   ON CNOIDAL WAVES AND BORES [J].
BENJAMIN, TB ;
LIGHTHILL, MJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 224 (1159) :448-460
[3]  
Bestehorn M., 2006, Hydrodynamik Und Strukturbildung: Mit Einer Kurzen Einfuhrung in die Kontinuumsmechanik
[4]   Phase-field simulations for drops and bubbles [J].
Borcia, Rodica ;
Bestehorn, Michael .
PHYSICAL REVIEW E, 2007, 75 (05)
[5]   A causal transient water wave diffraction formulation [J].
Damaren, CJ .
APPLIED OCEAN RESEARCH, 2000, 22 (05) :267-280
[6]  
DASILVA AFT, 1991, COAST ENG 1990 P P I
[7]   A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces [J].
de Sousa, FS ;
Mangiavacchi, N ;
Nonato, LG ;
Castelo, A ;
Tomé, MF ;
Ferreira, VG ;
Cuminato, JA ;
McKee, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 198 (02) :469-499
[8]  
Drazin PG, 1989, CAMBRIDGE TEXTS APPL
[9]   On non-causal impulse response functions related to propagating water waves [J].
Falnes, J .
APPLIED OCEAN RESEARCH, 1995, 17 (06) :379-389
[10]  
Fedkiw RP, 1999, J COMPUT PHYS, V152, P457, DOI 10.1006/jcph.1999.6136