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Reduced order modelling for unsteady fluid flow using proper orthogonal decomposition and radial basis functions

2013/05/02 by Sean Walton, O. Hassan, K. Morgan · 1 citation
Physics and Astronomy · Engineering · Mathematics · #Model Reduction and Neural Networks #Computational Fluid Dynamics and Aerodynamics #Hydraulic and Pneumatic Systems #Inviscid flow #Basis (linear algebra) #Basis function #Proper orthogonal decomposition #Flow (mathematics) #Applied mathematics #Radial basis function #Decomposition #Compressible flow #Mathematics #Reduction (mathematics) #Compressibility #Mathematical optimization #Mathematical analysis #Mechanics #Computer science #Physics #Geometry #Turbulence

paper · doi:10.1016/j.apm.2013.04.025

openalex publication_date 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/11

Abstract

A technique is presented for interpolating unsteady solutions to parameterised fluid flow problems, using a combination of proper orthogonal decomposition and radial basis functions. The technique is validated by considering simulations involving three dimensional unsteady compressible inviscid flow over an oscillating ONERA M6 wing. It is demonstrated that the approach can result in a large reduction in the cpu time required to find solutions at new parameter values, without a significant loss in accuracy.

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