Multilevel Monte Carlo Application Examples

Use Cases

• Compressible potential flow problem
• Fluid dynamics building problem
• Wind engineering rectangle problem
  • Deterministic wind engineering rectangle problem with ensemble average approach
  • Stochastic wind engineering rectangle problem
  • Stochastic wind engineering rectangle problem with ensemble average approach
• Wind engineering CAARC problem
  • Steady inlet wind engineering CAARC problem with ensemble average approach
  • Turbulent inlet wind engineering CAARC problem with ensemble average approach

Validation Cases

• Elliptic benchmark

Remarks

• To run with PyCOMPSs, it is necessary to compile it first. You can find a detailed guide on how to do it in the Kratos wiki. In addition, the appropriate import has to be changed from

from exaqute.ExaquteTaskLocal import *

to

from exaqute.ExaquteTaskPyCOMPSs import *

in the execution script and in Kratos/applications/MultilevelMonteCarloApplication/external_libraries/XMC/xmc/distributedEnvironmentFramework.py. We refer to the MultilevelMonteCarloApplication documentation for further details. In case running with PyCOMPSs gives errors, try to replace relative paths with absolute paths in configuration json files, as first attempt to fix the issue.

• These examples make use of some external libraries that are not compatible with the Kratos binaries. In order to try these examples, it is necessary to compile Kratos on your own machine.