This code is designed to work with a database of exodus files produced by the ARIA thermal code in the Sierra Mechanics toolbox. For such a database, it will:

• convert the data into a format to make it easier to process in Hadoop
• compute the SVD of the database
• interpolate the solution at any set of new points using a linear interpolation routine
• interpolate the solution at any set of new points using a non-linear model reduction based interpolation routine that includes a estimate of the error
• convert all the MapReduce based predictions to exodus files.

Here are some commands I ran to do a quick analysis on the EC2 cluster:

$ make dir=hdfs://nebula/data/exodus-runs

$ make setup_database name=runs variable=TEMP dir=hdfs://ec2-107-22-80-153.compute-1.amazonaws.com:8020/user/temp/simform/
$ make -f runs preprocess
$ make -f runs convert timestepfile=timesteps.txt

In this case, we had to normalize time-steps across the different files as the default step-length is variable.

$ make -f runs var
$ make -f runs outputvar

$ make -f runs predict design=design_points.txt points=new_points.txt

and then dump out exodus files

$ make -f runs seq2exodus  numExodusfiles=10 OutputName=output/thermal_maze

$ make -f runs seq2mseq
$ make -f runs model numExodusfiles=6
$ make -f runs interpsvd design=design_points.txt points=new_points.txt

mrsimform requires quite a few libraries as it combines the functionality of many different pieces of code. Please see INSTALL.md for help on setup. The code does not actually require any pieces to be installed on the system. But this makes it much easier. We've provided a list of commands to setup a demostration cluster on Amazon's EC2 system and process a small collection of files. See the demo directory.

These codes are based on a few active research projects from the authors.

• Tall and Skinny QR Factorizations in MapReduce architectures, Constantine and Gleich.

• Direct Tall and Skinny QR Factorizations in MapReduce architectures, Benson, Gleich, and Demmel. Submitted.

• Distinguishing Signal from Noise in an SVD of simulation data, Constantine and Gleich.