A Group-Based Space-Filling Design of Experiments Algorithm

Paper #:
  • 2018-01-1102

Published:
  • 2018-04-03
Abstract:
Computer Aided Engineering (CAE) is an important tool routinely used to simulate complex engineering systems. Virtual simulations enhance engineering insight into prospective designs and potential design issues, and can limit the need for expensive engineering prototypes. For complex engineering systems, however, the effectiveness of virtual simulations is often hindered by excessive computational cost. To minimize the cost of running expensive computer simulations, surrogate interpolating approximation models (often called metamodels – approximate models of the original model) can provide sufficient accuracy at a lower computing overhead as compared to repeated runs of a full simulation. Metamodel accuracy improves if constructed using space-filling designs of experiments (DOEs). The latter provides a collection of sample points in the design space preferably covering the entire space. In this research, an algorithm has been developed to create groups of space-filling multi-dimensional designs with uniform projections in one and two dimensions. In addition to each group having space-filling properties itself, unions of groups also have space-filling properties. This allows the designer to sequentially add sample points without damaging the space-filling property of the previous design. Accurate metamodels can be created iteratively by adding points until interpolation error targets are met. This methodology avoids building an entirely new, larger space-filling DOE, requiring extensive new simulation runs. Instead, well-chosen points are added to an existing DOE. In this scenario, additional simulation runs are required only for the added sample points. The approach to constructing these DOEs uses Sobol quasi-random sequences in one dimension, a maxi-min distance criterion, a new optimality criterion based on the spread and mean of the minimum distance of each sample point and a column-wise element exchange algorithm to efficiently achieve uniformity in one and two dimensions.
Access
Now
SAE MOBILUS Subscriber? You may already have access.
Buy
Attention: This item is not yet published. Pre-Order to be notified, via email, when it becomes available.
Select
Price
List
Download
$22.00
Mail
$22.00
Members save up to 36% off list price.
Share
HTML for Linking to Page
Page URL

Related Items

Training / Education
2009-12-15
Event
2018-04-10
Training / Education
2005-11-15
Article
2017-07-26
Training / Education
2007-03-01
Technical Paper / Journal Article
2011-05-17