Journal article
Uncertainty quantification of Delft catamaran resistance, sinkage and trim for variable Froude number and geometry using metamodels, quadrature and Karhunen–Loève expansion
Journal of marine science and technology, Vol.19(2), pp.143-169
08/08/2013
DOI: 10.1007/s00773-013-0235-0
Abstract
A framework for assessing convergence and validation of non-intrusive uncertainty quantification (UQ) methods is studied and applied to a complex industrial problem in ship design, namely the high-speed Delft Catamaran advancing in calm water, with variable Froude number and geometry. Relationship between UQ studies and deterministic verification and validation is discussed. Computations are performed using high- (URANS) and low- (potential flow) fidelity simulations. Froude number has expected value and standard deviation equal to 0.5 and 0.05, respectively, on a truncated normal distribution. Geometric uncertainty is related to the research space of a simulation-based design optimization, and assessed through the Karhunen–Loève expansion (KLE). Monte Carlo method with Latin hypercube sampling (MC-LHS) is used to compute expected value, standard deviation, distribution and uncertainty intervals for resistance, sinkage and trim. MC-LHS with CFD is used as a benchmark for validating less costly UQ methods, including MC-LHS with metamodels and standard quadrature formulas. Gaussian quadrature is found the most efficient method; however, MC-LHS with metamodels is preferred since provides with confidence intervals and distributions in a straightforward way and at reasonably small computational cost. UQ results are compared to earlier deterministic single- and multi-objective optimization; reduced-dimensional KLE studies for geometric variability indicate that stochastic optimization would not be of great benefit for the present problem.
Details
- Title: Subtitle
- Uncertainty quantification of Delft catamaran resistance, sinkage and trim for variable Froude number and geometry using metamodels, quadrature and Karhunen–Loève expansion
- Creators
- Matteo Diez - University of IowaWei He - University of IowaEmilio F Campana - National Research CouncilFrederick Stern - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of marine science and technology, Vol.19(2), pp.143-169
- Publisher
- Springer Japan
- DOI
- 10.1007/s00773-013-0235-0
- ISSN
- 0948-4280
- eISSN
- 1437-8213
- Language
- English
- Date published
- 08/08/2013
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196528602771
Metrics
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