Computationally efficient simulation of unsteady aerodynamics using POD on the fly

Moreno Ramos, Ruben and Vega de Prada, José Manuel and Varas Merida, Fernando (2016). Computationally efficient simulation of unsteady aerodynamics using POD on the fly. "Fluid Dynamics Research", v. 48 (n. 6); pp. 14-24. ISSN 0169-5983. https://doi.org/10.1088/0169-5983/48/6/061424.

Description

Title: Computationally efficient simulation of unsteady aerodynamics using POD on the fly
Author/s:
  • Moreno Ramos, Ruben
  • Vega de Prada, José Manuel
  • Varas Merida, Fernando
Item Type: Article
Título de Revista/Publicación: Fluid Dynamics Research
Date: December 2016
ISSN: 0169-5983
Volume: 48
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Modern industrial aircraft design requires a large amount of sufficiently accurate aerodynamic and aeroelastic simulations. Current computational fluid dynamics (CFD) solvers with aeroelastic capabilities, such as the NASA URANS unstructured solver FUN3D, require very large computational resources. Since a very large amount of simulation is necessary, the CFD cost is just unaffordable in an industrial production environment and must be significantly reduced. Thus, a more inexpensive, yet sufficiently precise solver is strongly needed. An opportunity to approach this goal could follow some recent results (Terragni and Vega 2014 SIAM J. Appl. Dyn. Syst. 13 330–65; Rapun et al 2015 Int. J. Numer. Meth. Eng. 104 844–68) on an adaptive reduced order model that combines 'on the fly' a standard numerical solver (to compute some representative snapshots), proper orthogonal decomposition (POD) (to extract modes from the snapshots), Galerkin projection (onto the set of POD modes), and several additional ingredients such as projecting the equations using a limited amount of points and fairly generic mode libraries. When applied to the complex Ginzburg–Landau equation, the method produces acceleration factors (comparing with standard numerical solvers) of the order of 20 and 300 in one and two space dimensions, respectively. Unfortunately, the extension of the method to unsteady, compressible flows around deformable geometries requires new approaches to deal with deformable meshes, high-Reynolds numbers, and compressibility. A first step in this direction is presented considering the unsteady compressible, two-dimensional flow around an oscillating airfoil using a CFD solver in a rigidly moving mesh. POD on the Fly gives results whose accuracy is comparable to that of the CFD solver used to compute the snapshots.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainTRA-2013-45808-RUnspecifiedUnspecifiedSimulación eficiente de sistemas aeronáuticos
Government of SpainMTM-2013-47800-C2-2-PUnspecifiedUnspecifiedModelado matemático, análisis y simulación numérica de problemas en finanzas y seguros, procesos industriales, biotecnología y medioambiente.

More information

Item ID: 46210
DC Identifier: http://oa.upm.es/46210/
OAI Identifier: oai:oa.upm.es:46210
DOI: 10.1088/0169-5983/48/6/061424
Official URL: http://iopscience.iop.org/article/10.1088/0169-5983/48/6/061424
Deposited by: Memoria Investigacion
Deposited on: 29 Jan 2018 12:08
Last Modified: 29 Jan 2018 12:08
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