A variable-fidelity aerodynamic model using proper orthogonal decomposition
| dc.contributor.author | Mifsud, Michael | |
| dc.contributor.author | MacManus, David G. | |
| dc.contributor.author | Shaw, S. T. | |
| dc.date.accessioned | 2016-12-08T10:09:06Z | |
| dc.date.available | 2016-12-08T10:09:06Z | |
| dc.date.issued | 2016-04-20 | |
| dc.description.abstract | A variable-fidelity aerodynamic model based on proper orthogonal decomposition (POD) of an ensemble of computational fluid dynamics (CFD) solutions at different parameters is presented in this article. The ensemble of CFD solutions consists of two subsets of numerical solutions or snapshots computed at two different nominal orders of accuracy or discretization. These two subsets are referred to as the low-fidelity and high-fidelity solutions or data, whereby the low fidelity corresponds with computations made at the lower nominal order of accuracy or coarser discretization. In this model, the relatively inexpensive low-fidelity data and the more accurate but expensive high-fidelity data are considered altogether to devise an efficient prediction methodology involving as few high-fidelity analyses as possible, while obtaining the desired level of detail and accuracy. The POD of this set of variable-fidelity data produces an optimal linear set of orthogonal basis vectors that best describe the ensemble of numerical solutions altogether. These solutions are projected onto this set of basis vectors to provide a finite set of scalar coefficients that represent either the low-fidelity or high-fidelity solutions. Subsequently, a global response surface is constructed through this set of projection coefficients for each basis vector, which allows predictions to be made at parameter combinations not in the original set of observations. This approach is used to predict supersonic flow over a slender configuration using Navier–Stokes solutions that are computed at two different levels of nominal accuracy as the low-fidelity and high-fidelity solutions. The numerical examples show that the proposed model is efficient and sufficiently accurate. | en_UK |
| dc.description.sponsorship | This work was conducted with support from the Engineering and Physical Sciences Research Council (EPSRC) Centre of Excellence for Industrial Sustainability grant number EP/I033351/1 (a research collaboration of Cambridge, Cranfield, Imperial and Loughborough Universities). No new data were created in the course of this work. The authors are grateful to Greg Boulton, Technology Enhanced Learning Designer at Cranfield University, for his help in creating Figure 1. The authors also acknowledge the pioneering work of Emeritus Professor David Tranfield who laid the foundations for systematic review in Management and Organizational Studies which continues to inspire. | |
| dc.identifier.citation | Mifsud MJ, MacManus DG, Shaw ST, A variable-fidelity aerodynamic model using proper orthogonal decomposition, International Journal for Numerical Methods in Fluids, Volume 82, Issue 10, 10 December 2016, Pages 646–663 | en_UK |
| dc.identifier.issn | 0271-2091 | |
| dc.identifier.uri | http://dx.doi.org/10.1002/fld.4234 | |
| dc.identifier.uri | https://dspace.lib.cranfield.ac.uk/handle/1826/11108 | |
| dc.language.iso | en | en_UK |
| dc.publisher | Wiley | en_UK |
| dc.rights | Attribution-Non-Commercial 3.0 Unported (CC BY-NC 3.0) You are free to: Share — copy and redistribute the material in any medium or format, Adapt — remix, transform, and build upon the material. The licensor cannot revoke these freedoms as long as you follow the license terms. Under the following terms: Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Information: Non-Commercial — You may not use the material for commercial purposes. No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits. | |
| dc.subject | variable-fidelity modelling | en_UK |
| dc.subject | surrogate modelling | en_UK |
| dc.subject | proper orthogonal decomposition | en_UK |
| dc.subject | singular value decomposition | en_UK |
| dc.subject | response surface | en_UK |
| dc.subject | radial basis function | en_UK |
| dc.title | A variable-fidelity aerodynamic model using proper orthogonal decomposition | en_UK |
| dc.type | Article | en_UK |