Reduced-order modeling approaches for gas flow in dual-porosity dual-permeability porous media are studied based on the proper orthogonal decomposition (POD) method combined with Galerkin projection. The typical modeling approach for non-porous-medium liquid flow problems is not appropriate for this compressible gas flow in a dual-continuum porous media. The reason is that non-zero mass transfe...

A data-driven closure modeling based on proper orthogonal decomposition (POD) temporal modes is used to obtain stable and accurate reduced order models (ROMs) of unsteady compressible flows. Model reduction obtained via Galerkin Petrov–Galerkin projection the non-conservative Navier–Stokes equations. The latter approach implemented using least-squares (LSPG) technique present methodology allows...

The function pod(n) enumerates the partitions of n wherein odd parts are distinct and even unrestricted. Recently, a number properties for have been established. In this paper, we use connections with 4-regular and, fixed k ∈ {0, 2}, into not congruent to modulo 4 in order obtain new pod(n). context, derive two infinite families linear inequalities involving We also identities Watson type.

This paper reports new measurements and analysis made in the Research Cell 19 supersonic wind-tunnel facility housed at the Air Force Research Laboratory. The measurements include planar chemiluminescence from multiple angular positions obtained using fiber-based endoscopes (FBEs) and the accompanying velocity fields obtained using particle image velocimetry (PIV). The measurements capture the ...

In a recent work (Koc et al., SIAM J. Numer. Anal. 59(4), 2163–2196, 2021), the authors showed that including difference quotients (DQs) is necessary in order to prove optimal pointwise time error bounds for proper orthogonal decomposition (POD) reduced models of heat equation. this work, we introduce new approach DQs POD procedure. Instead computing modes using all snapshot data and DQs, only ...

Abstract The unsteady simulation of cylinder flow with inlet velocity disturbance is simulated and compared that without disturbance. POD adopted to analyze capture the dominant modes vortex street in wake. results show method efficient reconstructing field. When exists, number required reconstruct field accurately almost unchanged, but energy proportion each mode changes. larger frequency is, ...

Pod dehiscence (shattering) is essential for the propagation of wild plant species bearing seeds in pods but is a major cause of yield loss in legume and crucifer crops. Although natural genetic variation in pod dehiscence has been, and will be, useful for plant breeding, little is known about the molecular genetic basis of shattering resistance in crops. Therefore, we performed map-based cloni...

Seed shattering in crops is a key domestication trait due to its relevance for seed dispersal, yield, and fundamental questions in evolution (e.g., convergent evolution). Here, we focused on pod shattering in common bean (Phaseolus vulgaris L.), the most important legume crop for human consuption in the world. With this main aim, we developed a methodological pipeline that comprises a thorough ...

The aim of this study was to examine the effects of angiotensin II (Ang II) on cellular functions of rat podocytes (pod) in the intact freshly isolated glomerulus and in culture. Membrane voltage (Vm) and ion currents of pod were examined with the patch clamp technique in fast whole cell and whole cell nystatin configuration. Vm of pod was -38+/-1 mV (n = 86). Ang II led to a concentration-depe...