EFFICIENT NUMERICAL APPROACH TO ELECTROMAGNETIC SCATTERING FROM THREE-DIMENSIONAL PERIODIC ARRAY OF DIELECTRIC SPHERES USING SEQUENTIAL ACCUMULATION

Abstract There has been a growing interest in assessing the risks to the marine environment from produced water discharges. This study describes the development of a numerical approach, POM-RW, based on an integration of the Princeton Ocean Model (POM) and a Random Walk (RW) simulation of pollutant transport. Specifically, the POM is employed to simulate local ocean currents. It provides three-dimensional hydrodynamic input to a Random Walk model focused on the dispersion of toxic components within the produced water stream on a regional spatial scale. Model development and field validation of the predicted current field and pollutant concentrations were conducted in conjunction with a water quality and ecological monitoring program for an offshore facility located on the Grand Banks of Canada. Results indicate that the POM-RW approach is useful to address environmental risks associated with the produced water discharges.

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Simulation of small-angle scattering curves by numerical Fourier transformation

Journal of Applied Crystallography ◽

10.1107/s002188980604550x ◽

2007 ◽

Vol 40 (1) ◽

pp. 16-25 ◽

Cited By ~ 37

Author(s):

Klaus Schmidt-Rohr

Keyword(s):

Form Factor ◽

Small Angle ◽

Fourier Transformation ◽

Three Dimensional ◽

Power Laws ◽

Numerical Approach ◽

Peak Position ◽

Two Dimensions ◽

Correlation Peak ◽

Scattering Intensity

A simple numerical approach for calculating theq-dependence of the scattering intensity in small-angle X-ray or neutron scattering (SAXS/SANS) is discussed. For a user-defined scattering density on a lattice, the scattering intensityI(q) (qis the modulus of the scattering vector) is calculated by three-dimensional (or two-dimensional) numerical Fourier transformation and spherical summation inqspace, with a simple smoothing algorithm. An exact and simple correction for continuous rather than discrete (lattice-point) scattering density is described. Applications to relatively densely packed particles in solids (e.g.nanocomposites) are shown, where correlation effects make single-particle (pure form-factor) calculations invalid. The algorithm can be applied to particles of any shape that can be defined on the chosen cubic lattice and with any size distribution, while those features pose difficulties to a traditional treatment in terms of form and structure factors. For particles of identical but potentially complex shapes, numerical calculation of the form factor is described. Long parallel rods and platelets of various cross-section shapes are particularly convenient to treat, since the calculation is reduced to two dimensions. The method is used to demonstrate that the scattering intensity from `randomly' parallel-packed long cylinders is not described by simple 1/qand 1/q4power laws, but at cylinder volume fractions of more than ∼25% includes a correlation peak. The simulations highlight that the traditional evaluation of the peak position overestimates the cylinder thickness by a factor of ∼1.5. It is also shown that a mix of various relatively densely packed long boards can produceI(q) ≃ 1/q, usually observed for rod-shaped particles, without a correlation peak.

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Modelling of Applied Magnetic Field and Thermal Radiations Due to the Stretching of Cylinder

Processes ◽

10.3390/pr9061077 ◽

2021 ◽

Vol 9 (6) ◽

pp. 1077

Author(s):

Muhammad Tamoor ◽

Muhammad Kamran ◽

Sadique Rehman ◽

Aamir Farooq ◽

Rewayat Khan ◽

...

Keyword(s):

Heat Transfer ◽

Fluid Velocity ◽

Three Dimensional ◽

Numerical Approach ◽

Skin Friction Coefficient ◽

Physical Parameters ◽

Boundary Layer Equations ◽

Convective Parameter ◽

Momentum And Heat Transfer ◽

Dimensional Boundary

In this study, a numerical approach was adopted in order to explore the analysis of magneto fluid in the presence of thermal radiation combined with mixed convective and slip conditions. Using the similarity transformation, the axisymmetric three-dimensional boundary layer equations were reduced to a self-similar form. The shooting technique, combined with the Range–Kutta–Fehlberg method, was used to solve the resulting coupled nonlinear momentum and heat transfer equations numerically. When physically interpreting the data, some important observations were made. The novelty of the present study lies in finding help to control the rate of heat transfer and fluid velocity in any industrial manufacturing processes (such as the cooling of metallic plates). The numerical results revealed that the Nusselt number decrease for larger Prandtl number, curvature, and convective parameters. At the same time, the skin friction coefficient was enhanced with an increase in both slip velocity and convective parameter. The effect of emerging physical parameters on velocity and temperature profiles for a nonlinear stretching cylinder has been thoroughly studied and analyzed using plotted graphs and tables.

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Fiber buckling in three-dimensional periodic-array composites

International Journal of Solids and Structures ◽

10.1016/0020-7683(92)90034-q ◽

1992 ◽

Vol 29 (24) ◽

pp. 3169-3183 ◽

Cited By ~ 7

Author(s):

Iradj G. Tadjbakhsh ◽

Y.M. Wang

Keyword(s):

Three Dimensional ◽

Periodic Array

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A Numerically Supported Investigation of the 3D Flow in Centrifugal Impellers: Part I — The Validation Base

Volume 1: Turbomachinery ◽

10.1115/96-gt-151 ◽

1996 ◽

Cited By ~ 1

Author(s):

Ch. Hirsch ◽

S. Kang ◽

G. Pointel

Keyword(s):

Boundary Layer ◽

Three Dimensional ◽

Boundary Layer Separation ◽

Numerical Approach ◽

Secondary Flows ◽

Pump Impeller ◽

High Loss ◽

Leakage Flows ◽

Fine Mesh ◽

Radial Pump

The three-dimensional flow in centrifugal impellers is investigated on the basis of a detailed analysis of the results of numerical simulations. In order to gain confidence in this process, an in-depth validation is performed, based on computations of Krain’s centrifugal compressor and of a radial pump impeller, both with vaneless diffusers. Detailed comparisons with available experimental data provide high confidence in the numerical tools and results. The appearance of a high loss ‘wake’ region results from the transport of boundary layer material from the blade surfaces to the shroud region and its location depends on the balance between secondary and tip leakage flows and is not necessarily connected to 3D boundary layer separation. Although the low momentum spots near the shroud can interfere with 3D separated regions, the main outcome of the present analysis is that these are two distinct phenomena. Part I of this paper focuses on the validation base of the numerical approach, based on fine mesh simulations, while Part II presents an analysis of the different contributions to the secondary flows and attempts to estimate their effect on the overall flow pattern.

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