As sensors and flow control actuators become smaller, cheaper, and more pervasive, the use of feedback control to manipulate the details of fluid flows becomes increasingly attractive. One of the challenges is to develop mathematical models that describe the fluid physics relevant to the task at hand, while neglecting irrelevant details of the flow in order to remain computationally tractable. ...

We consider integrated circuits with semiconductors modelled by modified nodal analysis and 1D drift-diffusion equations. The drift-diffusion equations are discretized in space using finite element methods. The discretization yields a high dimensional differential-algebraic equation. We show how POD methods can be used to reduce the dimension of the model. We compare reduced and fine models and...

Technology for microgravity plant growth has matured to a level which allows detailed gravitational plant biology and commercial plant biotechnology studies. Consequently, plants have been shown to adapt to the space flight environment, which validates their use in advanced life support applications. However, the volume available for plant growth inside pressurized modules is severely constrain...

Proper Orthogonal Decomposition (POD), also known as Karhunen-Loeve decomposition, is emerging as a useful experimental tool in dynamics and vibrations. The POD is a means of extracting spatial information from a set of time series data available on a domain. The use of Karhunen-Loeve (K-L) transform is of great help in nonlinear settings where traditional linear techniques such as modal testin...

BACKGROUND Strategies to protect the brain from postoperative delirium (POD) after hip fracture are urgently needed. The development of delirium often is associated with the loss of independence, poor functional recovery, and increased morbidity, as well as increases in length of hospital stay, discharges to nursing facilities, and healthcare costs. We hypothesize that xenon may reduce the burd...

We present a framework for applying the method of Proper Orthogonal Decomposition (POD) and Galerkin projection to compressible fluids. For incompressible flows, only the kinematic variables are important, and the techniques are well known. In a compressible flow, both the kinematic and thermodynamic variables are dynamically important, and must be included in the configuration space. We introd...

This report has two main goals. First, it numerically investigates three velocitypressure reduced order models (ROMs) for incompressible flows. The proper orthogonal decomposition (POD) is used to generate the modes. One method computes the ROM pressure solely based on the velocity POD modes, whereas the other two ROMs use pressure modes as well. To the best of the authors’ knowledge, one of th...

Proper orthogonal decomposition (POD) is often employed in developing reduced-order models (ROM) fluid flows for design, control, and optimization. Contrary to the usual practice where velocity field focus, we apply POD analysis on pressure data obtained from numerical simulations of flow past stationary oscillating cylinders. Since mainly contributes hydrodynamic forces acting structure, compu...

Three-dimensional microparticle movements induced by laser beams with a funnel- and tubular pod-like structure, in the neighbourhood of the focal plane of an optical trapping setup, are experimentally studied. The funnel and pod beams constructed as coherent superpositions of helical Laguerre-Gaussian modes are synthesized by a computer generated hologram using a phase-only spatial light modula...