Journal
NONLINEAR DYNAMICS
Volume 70, Issue 2, Pages 1619-1632Publisher
SPRINGER
DOI: 10.1007/s11071-012-0561-5
Keywords
Model order reduction; Proper orthogonal decomposition; Turbulence; Stabilization; Reduced order modeling; Navier-Stokes; Lid driven cavity; Mixing layer; Turbulence modeling
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Funding
- Natural Science and Engineering Research Council of Canada (NSERC)
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A new method of stabilizing low-order, proper orthogonal decomposition based reduced-order models of the Navier-Stokes equations is proposed. Unlike traditional approaches, this method does not rely on empirical turbulence modeling or modification of the Navier-Stokes equations. It provides spatial basis functions different from the usual proper orthogonal decomposition basis function in that, in addition to optimally representing the solution, the new proposed basis functions also provide stable reduced-order models. The proposed approach is illustrated with two test cases: two-dimensional flow inside a square lid-driven cavity and a two-dimensional mixing layer.
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