Uncertainty Quantification

One of the analysis modes in MrHyDE is UQ, but the embedded uncertainty quantification (UQ) capabilities are quite simple. It allows a user to set one MrHyDE simulation, but run multiple realization for different values of stochastic parameters. MrHyDE also has the ability to change the random orientation of the microstructure for each realization.

To create a UQ study using the default random number generator/seed, add the following Analysis block to the input file:

Analysis: 
    analysis type: UQ
    UQ:
      seed: 123 # also the default
      samples: 10

Sometimes, a user will want to generate a set of samples offline and then use MrHyDE to generate the data for these sample. This can be achieved by using the following setting:

Analysis: 
    analysis type: UQ
    UQ:
      use user defined: true
      source: sample_points.dat

Performing a proper UQ study assumes that the user has defined a set of stochastic parameters than can be changed for each realization, e.g.:

Parameters:
    a:
      type: scalar
      value: 1.0 # not actually used
      usage: stochastic
      distribution: uniform
      min: 1.0
      max: 2.0
    b:
      type: scalar
      value: 0.0 # not actually used
      usage: stochastic
      distribution: Gaussian
      mean: 0.0
      variance: 1.0