We use POD/Galerkin projection to investigate and derive reduced-order models of the dynamics of compressible flows. We examine DNS data for two flows, a turbulent M=0.9 jet and self-sustained oscillations in the flow over an open cavity, and show how different choices of norm lead to different definitions of the energetic structures, and, for the cavity, to different reduced-order models of th...

The proper orthogonal decomposition (POD) is shown to be an efficient model reduction technique for simulating physical processes governed by partial differential equations. In this paper, we make an initial effort to investigate problems related to POD reduced modeling of a large-scale upper ocean circulation in the tropic Pacific domain. We construct different POD models with different choice...

The proper orthogonal decomposition (POD) is shown an efficiently model reduction technique in simulating physical processes governed by partial differential equations. In this paper we make an initial effort to investigate problems related to POD reduced modeling of a large-scale upper ocean circulation in the tropic Pacific domain. We constructed different POD models with different choices of...

Despite extensive investigations, the main mechanisms underlying neuropathic pain development are still not fully understood and there is no effective treatment for that. So intensive research is being done for finding new, efficient analgesic drugs. 56 male Wistar rats (230±30) were divided into 7 groups (n=8); control, sham, CCI and 3 Umbelliprenin groups (25, 50 and 100 microgram/rat)...

Various methods involving local proper orthogonal decomposition (POD) and Galerkin projection are presented aiming at accelerating the numerical integration of nonlinear, time dependent, dissipative problems. The approach combines short runs with a given computational fluid dynamics (CFD) solver and low dimensional models constructed by appropriate POD modes, which adapt to the dynamics. Applic...

the need to establish power plants to supply the required electricity of the country has been rising due to increasing demand levels as well as the lack of governmental resources. furthermore, the available traditional attitude in performing and conducting power plant projects has made government seek a modern attitude. this paper tries to use the topics that have been employed in automotive in...

Fast-response pressure sensitive paint (PSP) is used in this work to measure and analyze the acoustic pressure field in a rectangular cavity. The high spatial resolution and fast frequency response of PSP effectively captures the spatial and temporal detail of surface pressure resulting in the acoustic pressure field. In this work, a high-speed camera is used to generate a continuous time recor...

We study reduced-order models of three-dimensional perturbations in linearized channel flow using balanced proper orthogonal decomposition BPOD . The models are obtained from three-dimensional simulations in physical space as opposed to the traditional single-wavenumber approach, and are therefore better able to capture the effects of localized disturbances or localized actuators. In order to a...

Proper Orthogonal Decomposition (POD) based projection methods are an important tool for the reduction of complex nonlinear models. Large reductions in model order can be frequently be obtained due to the exploitation of correlations between model states that exist for representative behavior of the model. However, when this model behavior includes traveling waves or shock fronts these methods ...