Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids

2012 ◽  
Vol 71 (9) ◽  
pp. 1103-1130 ◽  
Author(s):  
S. J. Lind ◽  
T. N. Phillips
2019 ◽  
Vol 2019.54 (0) ◽  
pp. 112
Author(s):  
Shunta TSUCHIYAMA ◽  
Seiichiro IZAWA ◽  
Yu FUKUNISHI

2007 ◽  
Vol 202 (2) ◽  
pp. 377-391 ◽  
Author(s):  
Tetsushi Nishida ◽  
Kokichi Sugihara ◽  
Masato Kimura

Author(s):  
Stephen Roberts

AbstractIn this paper we shall describe a numerical method for the solution of curve flow problems in which the normal velocity of the curve depends locally on the position, normal and curvature of the curve. The method involves approximating the curve by a number of line elements (segments) which are only allowed to move in a direction normal to the element. Hence the normal of each line element remains constant throughout the evolution. In regions of high curvature elements naturally tend to accumulate. The method easily deals with the formation of cusps as found in flame propagation problems and is computationally comparable to a naive marker particle method. As a test of the method we present a number of numerical experiments related to mean curvature flow and flows associated with flame propagation and bushfires.


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