Examples

• coming in the next release: shape optimisation in 3D linear elasticity (example with adaptive meshes)
  

  initial performance function value:		649.9
  minimized performance function value:		373.4

  
  
  
  
• Navier-Stokes: shape optimisation of a obstacle in a channel
  Initial shape at Re=10
  
  Optimised shape for Re=10
  
  
  
• Navier-Stokes: flow over bump (from README.TXT)
  bump.f1m at Re=1; 297,795 DOFs, solution takes 84s, adjoint gradient 58s
  
  
  
• Navier-Stokes: cavity (with curved bottom)
  lid driven cavity at Re=100; 148,739 DOFs, solution takes 54s, adjoint gradient 30s
  
  
  
• Linear elasticity (Lamé): optimisation of a pedal crank
  Initial shape
  
  Optimised shape
  
  
  
• Linear elasticity (Lamé): triangular support with a hole
  adaptive solver; 17,980 DOFs, takes 2.2s including shape gradient (adjoint)
  
  
  
• Poisson equation: square domain (solution accurate up to discretisation error)
  

  Nodes	PCG iterations	|C^-1 res|	time(level) (s)	time(total) (s)
  9	1	0.00e+00	1.459e-04	1.550e-04
  25	2	1.82e-04	6.390e-05	2.639e-04
  81	2	9.46e-04	1.841e-04	4.921e-04
  289	3	1.11e-04	6.971e-04	1.387e-03
  1,089	3	6.75e-05	2.659e-03	4.585e-03
  4,225	3	3.90e-05	5.158e-03	1.109e-02
  16,641	3	2.08e-05	2.089e-02	3.498e-02
  66,049	3	1.05e-05	9.640e-02	1.438e-01
  263,169	3	5.22e-06	4.546e-01	6.456e-01
  1,050,625	3	2.59e-06	1.922e+00	2.764e+00
  4,198,401	3	1.29e-06	7.912e+00	1.144e+01
  16,785,409	3	6.44e-07	3.110e+01	4.565e+01
  67,125,249	3	3.22e-07	1.283e+02	1.865e+02

  
  
  
  
• Poisson equation in 3D: domain of complex 3D geometry (solution accurate up to discretisation error)
  

  Nodes	PCG iterations	|C^-1 res|	time(level) (s)	time(total) (s)
  7,334	1	2.62e-10	7.848e-01	7.909e-01
  50,036	3	9.09e+00	4.036e-01	2.482e+00
  366,870	3	7.22e+00	3.105e+00	1.081e+01
  2,803,666	2	6.29e+01	2.212e+01	5.640e+01
  21,909,034	3	3.05e+01	1.750e+02	3.493e+02