Numerical simulations of bouncing jets

被引:26
作者
Bonito, Andrea [1 ]
Guermond, Jean-Luc [1 ]
Lee, Sanghyun [1 ]
机构
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
基金
美国国家科学基金会;
关键词
bouncing jet; Kaye effect; entropy viscosity; level set; projection method; shear-thinning viscosity; adaptive finite elements; NAVIER-STOKES EQUATIONS; DISCRETIZATION; ALGORITHMS; FLOW;
D O I
10.1002/fld.4071
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Bouncing jets are fascinating phenomenon occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet falls in a bath undergoing a solid motion. It occurs also for non-Newtonian fluids when the jets fall in a vessel at rest containing the same fluid. We investigate numerically the impact of the experimental setting and the rheological properties of the fluid on the onset of the bouncing phenomenon. Our investigations show that the occurrence of a thin lubricating layer of air separating the jet and the rest of the liquid is a key factor for the bouncing of the jet to happen. The numerical technique that is used consists of a projection method for the Navier-Stokes system coupled with a level set formulation for the representation of the interface. The space approximation is carried out with adaptive finite elements. Adaptive refinement is shown to be very important to capture the thin layer of air that is responsible for the bouncing. Copyright (c) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码:53 / 75
页数:23
相关论文
共 36 条
[1]  
[Anonymous], THESIS
[2]  
[Anonymous], DEAL II LIB VERSION
[3]   deal. II - A general-purpose object-oriented finite element library [J].
Bangerth, W. ;
Hartmann, R. ;
Kanschat, G. .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2007, 33 (04)
[4]  
Bänsch E, 2001, NUMER MATH, V88, P203, DOI 10.1007/s002110000225
[5]   The Kaye effect [J].
Binder, J. M. ;
Landig, A. J. .
EUROPEAN JOURNAL OF PHYSICS, 2009, 30 (06) :S115-S132
[6]  
Bonito A., 2015, Numerical Mathematics and Advanced Applications-ENUMATH 2013, P623
[7]   Numerical simulation of 3D viscoelastic flows with free surfaces [J].
Bonito, Andrea ;
Picasso, Marco ;
Laso, Manuel .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 215 (02) :691-716
[8]  
Bonito A, 2014, MATH COMPUT, V83, P1039
[9]   QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD [J].
Bonito, Andrea ;
Nochetto, Ricardo H. .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (02) :734-771
[10]   p4est: SCALABLE ALGORITHMS FOR PARALLEL ADAPTIVE MESH REFINEMENT ON FORESTS OF OCTREES [J].
Burstedde, Carsten ;
Wilcox, Lucas C. ;
Ghattas, Omar .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 33 (03) :1103-1133