3-D Periodic Boundary Conditions

Problem Specification

All units are dimensionless.

• Width = 4
• Depth = 4
• Height = 0.66 (before perturbation)
• Young's Modulus E = 1
• Poisson's Ratio nu = 0.3
• Prestraining epsilon_x = 1, epsilon_y = 1
• Surface tension sigma = Varying (see below)
• Initial Configuration = Band limited white noise (see below)
• Boundary conditions: w=0 at bottom, u,v,w=periodic at left/right and front/back

• Grid size 193x193x49 = 1,825,201 nodes
• 5,475,603 Degrees of freedom
• Timestep dt=0.0025

Results and Animations

The movies are encoded with DivX, download the "Standard DivX Codec(FREE)" from http://www.divx.com/divx.

Time between frames = 0.005. The color shows the energy density, from low (blue) to high (red).

• Initial Configuration
  
  
  
  
• Sigma = 0.1
  
  DivX AVI (926kB), 122 frames.
  
  
  
• Sigma = 0.05
  
  DivX AVI (1.6MB), 185 frames.