Laboratory and Numerical Experiments Supporting the Improvement of Vortex Predictions in the Fastwake Numerical Code and Studies of Velocity in Stratified Turbulence


Book Description

This report documents the results of ONR Contract N00014-99-C-0169. Three tasks were performed on this contract. The first task was to determine, through laboratory experiments and numerical simulations, how a vortex pair detrains fluid as a function of time. The motivation for this study was to determine how the fluid in a migrating vortex cell changes as the vortex pair migrates through the fluid. This study was performed in order to allow SAIC to compare predictions from the FASTWAKE code to experimental measurements. In the experimental part of the study, a vortex pair was generated by a lifting wing, and the detrainment of fluid from the vortex cell was determined for different values of Froude number. These results were then simulated with a 3-D numerical code. The results from this task are presented in Section 2. The second task in this contract was to determine the existence of oceanographic data that might be useful in understanding the results of a previous study. The results of this task are presented in a separate document (Lai and Delisi, 2005). The third task in this contract was to numerically model the turbulent flow behind a grid. The motivation for this study was to compare the flow behind a grid from experimental measurements to predictions from numerical simulations, in order to determine whether the numerical model could be useful in elucidating the physics in experimental measurements that were obtained far downstream of the grid. The results from this task, as well as corresponding measurements from a complementary laboratory experiment, are presented in Section 3.




Vortex Flows and Related Numerical Methods


Book Description

Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.




The Motion of Turbulent Vortex-pairs in Homogeneous and Density Stratified Media


Book Description

A theory for the motion of two-dimensional turbulent vortex pairs in homogeneous media has been developed based on separate velocity scaling of the internal and external flow fields involved in the motion and taking into account variations in volume, circulation, momentum, and energy. Based on the results obtained from this theory, a simplified theory is derived to deal with the rising motion of turbulent vortex pairs in stratified media. The theoretical results are compared with systematic experimental observations.




Vortex Methods and Vortex Motion


Book Description

Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion. Vortex phenomena in fluid flows and the experimental, theoretical, and numerical methods used to characterize them are discussed in reviews by leading experts. Extensive photographs and sample computer graphics are provided. The development of large vortex structure in fluid flow is responsible for some of the most fascinating aspects of fluid dynamics, such as mixing, shearing, transport, and instability. Such issues arise in a variety of flow regimes, ranging from fundamental mathematical questions in laminar, transitional, and turbulent flow to sophisticated engineering settings and devices.




Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods


Book Description

Vortex methods have been developed and applied to many kinds of flows related to various problems in wide engineering and scientific fields. The purpose of the First International conference on Vortex methods was to provide an opportunity for engineers and scientists to present their achievements, exchange ideas and discuss new developments in mathematical and physical modeling techniques and engineering applications of vortex methods.







Fluid Vortices


Book Description

Fluid Vortices is a comprehensive, up-to-date, research-level overview covering all salient flows in which fluid vortices play a significant role. The various chapters have been written by specialists from North America, Europe and Asia, making for unsurpassed depth and breadth of coverage. Topics addressed include fundamental vortex flows (mixing layer vortices, vortex rings, wake vortices, vortex stability, etc.), industrial and environmental vortex flows (aero-propulsion system vortices, vortex-structure interaction, atmospheric vortices, computational methods with vortices, etc.), and multiphase vortex flows (free-surface effects, vortex cavitation, and bubble and particle interactions with vortices). The book can also be recommended as an advanced graduate-level supplementary textbook. The first nine chapters of the book are suitable for a one-term course; chapters 10--19 form the basis for a second one-term course.




Vortex Methods


Book Description

Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character, which was the motivation for their introduction. This book presents and analyzes vortex methods as a tool for the direct numerical simulation of impressible viscous flows. It will interest graduate students and researchers in numerical analysis and fluid mechanics and also serve as an ideal textbook for courses in fluid dynamics.




Numerical Study of Interaction of Vortex Structures in Plasmas and Fluids


Book Description

The results of numerical study of evolution and interaction of the vortex structures in the continuum, and, specifically, in plasmas and fluids in the 2D approach, when the Euler-type equations are valid, are presented. The set of the model equations e(sub i)d(sub l)x(sub i)= partial derivative(sub yi) H/B, e(sub i)d(sub l)y(sub i)= -partial derivative(sub xi) H/B, partial derivative(sub t) rho-v xDELTA rho=0, v=-(ZETAxDELTA psi)/BETA, DELTA psi = -rho describing the a continuum or quasi-particles with Coulomb interaction models, where rho is a vorticity or charge density and psi is a stream function or potential for inviscid fluid and guiding-centre plasma, respectively, and ETA is a Hamiltonian, was considered. For numerical simulation the CD method specially modified was used. in terms of vortex motion of fluids the results of numerical experiments, specifically, showed that for some conditions the interaction of vortexes in continuum may be nontrivial and, as for the "classic" FAVRs, lead to formation of complex forms of vorticity regions, for example, the vorticity filaments and sheets, and also can ended to formation of the turbulent field. The undertaken approach may be effective in studying of the atmospheric and Alfven vortex dynamics, and also useful for the interpretation of effects associated with turbulent processes in fluids and plasmas.