c entre for a nalysis, s cientific computing and a pplications

14
Centre for Analysis, Scientific computing and Applications http://www.casa.tue.nl

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Page 1: C entre for A nalysis, S cientific computing and A pplications

Centre for Analysis,

Scientific computing

and Applications

http://www.casa.tue.nl

Page 2: C entre for A nalysis, S cientific computing and A pplications

surface fitting

data analysis

laser drilling

iterative solvers

software subcontracting

structural analysis

Recent and Current Projects

Page 3: C entre for A nalysis, S cientific computing and A pplications

Surface Fitting

fairing of ship surfaces

Page 4: C entre for A nalysis, S cientific computing and A pplications

Surface Fitting

bicubic spline approximation

closeness of fit vs. smoothness of fit

Page 5: C entre for A nalysis, S cientific computing and A pplications

Data Analysis

Page 6: C entre for A nalysis, S cientific computing and A pplications

Data Analysis

Page 7: C entre for A nalysis, S cientific computing and A pplications

Laser Drilling

Removal by evaporation and melt ejection

2αdross

barrelling

recast layer

spatter

tapering

Page 8: C entre for A nalysis, S cientific computing and A pplications

Front-Tracking

pool depth

radial direction

10 pulses

Phase Transition

Laser Drilling

Page 9: C entre for A nalysis, S cientific computing and A pplications

Iterative Solvers

• structural analysis

• finite element simulation

• ill-conditioned stiffness matrix

• 2.000.000+ degrees of freedom

• ICC(0) + CG-variant/MinRes

Page 10: C entre for A nalysis, S cientific computing and A pplications

Structural Analysis

composite materials

XY robot

Page 11: C entre for A nalysis, S cientific computing and A pplications

For given spectrum:

measured spectrum height, sidewall angle, midCD, BARC thickness

Find shape parameters:

Such that:

- 0

measured spectrumcomputed spectrum

STARS Project

Page 12: C entre for A nalysis, S cientific computing and A pplications

Minimize cost function

Define initial shape

Compute spectrum

Compare with measured spectrum

Update shape parameters

STARS Project

30mins → 4 secs (speed-up factor 500)

Page 13: C entre for A nalysis, S cientific computing and A pplications

0th diffraction efficiency (TM polarization)

φ (azimuth)

θ

STARS Project

Page 14: C entre for A nalysis, S cientific computing and A pplications

STARS Project

subsampling?

spectrum TE spectrum TM