Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model
Zimmermann, Ralf and Görtz, Stefan (2012) Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model. The Aeronautical Journal, 116 (1184), pp. 1079-1100.
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A reduced-order modelling (ROM) approach for predicting steady, turbulent aerodynamic flows based on computational fluid dynamics (CFD) and proper orthogonal decomposition (POD) is presented. Model-order reduction is achieved by parameter space sampling, solution space representation via POD and restriction of a CFD solver to the POD subspace. Solving the governing equations of fluid dynamics is replaced by solving a non-linear least-squares optimisation problem. The method will be referred to as LSQ-ROM method. Two approaches of extracting POD basis information from CFD snapshot data are discussed: POD of the full state vector (global POD) and POD of each of the partial states separately (variable-by-variable POD). The method at hand is demonstrated for a 2D aerofoil (NACA 64A010) as well as for a complete industrial aircraft configuration (NASA Common Research Model) in the transonic flow regime by computing ROMs of the compressible Reynolds-averaged Navier-Stokes equations, pursuing both the global and the variable-by-variable POD approach. The LSQ-ROM approach is tried for extrapolatory flow conditions. Results are juxtaposed with those obtained by POD-based extrapolation using Kriging and the radial basis functions spline method. As a reference, the full-order CFD solutions are considered. For the industrial aircraft configuration, the cost of computing the reduced-order solution is shown to be two orders of magnitude lower than that of computing the reference CFD solution.
|Title:||Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model|
|Journal or Publication Title:||The Aeronautical Journal|
|In Open Access:||No|
|In ISI Web of Science:||Yes|
|Page Range:||pp. 1079-1100|
|Keywords:||Reduced Order Model, Proper Orthogonal Decomposition, Kriging, Radial Basis Function, extrapolation, aerodynamics, CFD|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Aeronautics|
|HGF - Program Themes:||L AR - Aircraft Research|
|DLR - Research area:||Aeronautics|
|DLR - Program:||L AR - Aircraft Research|
|DLR - Research theme (Project):||L - Simulation & Validation|
|Institutes and Institutions:||Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering|
|Deposited By:||Stefan Görtz|
|Deposited On:||02 Nov 2012 14:48|
|Last Modified:||07 Feb 2013 20:46|
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