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Pettit, C. L.; Beran, P. S.

Application of proper orthogonal decomposition to the discrete Euler equations. (English) Zbl 1021.76037

Int. J. Numer. Methods Eng. 55, No. 4, 479-497 (2002).
Summary: The response of a fluid moving above a panel to localized oscillation of the panel is predicted using reduced-order modelling (ROM) with the proper orthogonal decomposition technique. The flow is assumed to be inviscid, and is modelled with Euler equations. These equations are discretized with a total-variation diminishing algorithm and are projected onto an energy-optimal subspace defined by an energy-threshold criterion applied to a modal representation of time series data. Results are obtained for a bump oscillating in Mach 1.2 flow. ROM is found to reduce the degrees of freedom necessary to simulate the flow field by three orders of magnitude while preserving solution accuracy. Other observed benefits of ROM include increased allowable time step and robustness to variation of oscillation amplitude.

Cited in 12 Documents

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76H05 Transonic flows

Keywords:

proper orthogonal decomposition technique; Euler equations; transonic flow; oscillating bump; reduced-order modelling; total-variation diminishing algorithm; energy-optimal subspace; energy-threshold criterion

Software:

Cobalt
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References:

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