A Proper Orthogonal Decomposition Method for Nonlinear Flows with Deforming Meshes
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abstract
Due to the computational burden of fluid dynamic simulations that require numerous repetitions, reduced-order models are used to reduce computational time. Reduced-order models are often based on proper orthogonal decomposition. Through proper orthogonal decomposition, the variable is decomposed into a time-averaged, spatially dependent function and a linear combination of spatially dependent basis functions weighted by time coeffcients. These reduced-order models have been shown to perform poorly when a deformable mesh is used; however, deformable meshes play an important role in nonlinear computational aeroelasticity. In this paper, modifications to proper orthogonal decomposition, which include the use of a dynamic average and dynamic basis functions, are proposed to improve the fidelity of the reduced-order model when simulating nonlinear flows and deforming meshes. 2013 by Brian A. Freno and Paul G. A. Cizmas.
name of conference
51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition