Method Of Discrete Vortices


Method Of Discrete Vortices
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Method Of Discrete Vortices


Method Of Discrete Vortices
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Author : S. M. Belotserkovsky
language : en
Publisher: CRC Press
Release Date : 1992-12-31

Method Of Discrete Vortices written by S. M. Belotserkovsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-31 with Technology & Engineering categories.


Method of Discrete Vortices presents a mathematical substantiation and in-depth description of numerical methods for solving singular integral equations with one-dimensional and multiple Cauchy integrals. The book also presents the fundamentals of the theory of singular equations and numerical methods as applied to solving problems in such branches of mechanics as aerodynamics, elasticity, and electrodynamics.



Discrete Vortex Method For Two Dimensional Flow Past Bodies Of Arbitrary Shape Undergoing Prescribed Rotary And Translational Motion


Discrete Vortex Method For Two Dimensional Flow Past Bodies Of Arbitrary Shape Undergoing Prescribed Rotary And Translational Motion
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Author : Jens Honoré Walther
language : en
Publisher:
Release Date : 1994

Discrete Vortex Method For Two Dimensional Flow Past Bodies Of Arbitrary Shape Undergoing Prescribed Rotary And Translational Motion written by Jens Honoré Walther and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Singular Integral Equations And Discrete Vortices


Singular Integral Equations And Discrete Vortices
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Author : I. K. Lifanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05

Singular Integral Equations And Discrete Vortices written by I. K. Lifanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.


This monograph is divided into five parts and opens with elements of the theory of singular integral equation solutions in the class of absolutely integrable and non-integrable functions. The second part deals with elements of potential theory for the Helmholtz equation, especially with the reduction of Dirichlet and Neumann problems for Laplace and Helmholtz equations to singular integral equations. Part three contains methods of calculation for different one-dimensional and two-dimensional singular integrals. In this part, quadrature formulas of discrete vortex pair type in the plane case and closed vortex frame type in the spatial case for singular integrals are described for the first time. These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable coefficients, in part four of the book. Finally, discrete mathematical models of some problems in aerodynamics, electrodynamics and elasticity theory are given.



Vortex Methods


Vortex Methods
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Author : Kyoji Kamemoto
language : en
Publisher: World Scientific
Release Date : 2000-05-11

Vortex Methods written by Kyoji Kamemoto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-11 with Technology & Engineering categories.


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. Contents: Vortex Element Methods, the Most Natural Approach to Flow Simulation — A Review of Methodology with Applications (R I Lewis)A Hybrid Vortex Method (J M R Graham & R H Arkell)Transient Flow Around a Circular Cylinder Near the Moving and Rigid Ground by a Vortex Method (T Kida & T Take)Vortex Method Analysis of Turbulent Flows (P S Bernard et al.)Dynamics of Coherent Structures in a Forced Round Jet (S Izawa et al.)Convergence Study for the Vortex Method with Boundaries (L-A Ying)3D Vortex Methods: Achievements and Challenges (G H Cottet)Development of a Vortex and Heat Elements Method and Its Application to Analysis of Unsteady Heat Transfer Around a Circular Cylinder in a Uniform Flow (K Kamemoto & T Miyasaka)Three-Dimensional Vortex Method Using the Ferguson Spline (M Tsutahara et al.)Numerical Prediction of Rotor Tip-Vortex Roll-Up in Axial Flights by Using a Time-Marching Free-Wake Method (D J Lee)and other papers Readership: Students and researchers in computational fluid mechanics. Keywords:



Unsteady Axisymmetric Flow By The Method Of Discrete Vortices


Unsteady Axisymmetric Flow By The Method Of Discrete Vortices
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Author : B. De Bernardinis
language : en
Publisher:
Release Date : 1980

Unsteady Axisymmetric Flow By The Method Of Discrete Vortices written by B. De Bernardinis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.




A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings


A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings
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Author : Thomas G. Gainer
language : en
Publisher:
Release Date : 2002

A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings written by Thomas G. Gainer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Aerodynamic measurements categories.




A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings


A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-09-22

A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-22 with categories.


A discrete-vortex method is developed to investigate the wing rock problem associated with highly swept wings. The method uses two logarithmic vortices placed above the wing to represent the vortex flow field and uses boundary conditions based on conical flow, vortex rate of change of momentum, and other considerations to position the vortices and determine their strengths. A relationship based on the time analogy and conical-flow assumptions is used to determine the hysteretic positions of the vortices during roll oscillations. Static and dynamic vortex positions and wing rock amplitudes and frequencies calculated by using the method are generally in good agreement with available experimental data. The results verify that wing rock is caused by hysteretic deflections of the vortices and indicate that the stabilizing moments that limit wing rock amplitudes are the result of the one primary vortex moving outboard of the wing where it has little influence on the wing.Gainer, Thomas G.Langley Research CenterWING ROCK; VORTICES; FLOW DISTRIBUTION; DYNAMIC STABILITY; DELTA WINGS; STABILIZATION; SWEPT WINGS; HYSTERESIS; FLOW VELOCITY; DEFLECTION; CONICAL FLOW; BOUNDARY CONDITIONS; ANALOGIES



A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings


A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings
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Author : National Aeronautics and Space Administration
language : en
Publisher:
Release Date : 2018-08-27

A Discrete Vortex Method For Studying The Wing Rock Of Delta Wings written by National Aeronautics and Space Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-27 with categories.


A discrete-vortex method is developed to investigate the wing rock problem associated with highly swept wings. The method uses two logarithmic vortices placed above the wing to represent the vortex flow field and uses boundary conditions based on conical flow, vortex rate of change of momentum, and other considerations to position the vortices and determine their strengths. A relationship based on the time analogy and conical-flow assumptions is used to determine the hysteretic positions of the vortices during roll oscillations. Static and dynamic vortex positions and wing rock amplitudes and frequencies calculated by using the method are generally in good agreement with available experimental data. The results verify that wing rock is caused by hysteretic deflections of the vortices and indicate that the stabilizing moments that limit wing rock amplitudes are the result of the one primary vortex moving outboard of the wing where it has little influence on the wing.Gainer, Thomas G.Langley Research CenterWING ROCK; VORTICES; FLOW DISTRIBUTION; DYNAMIC STABILITY; DELTA WINGS; STABILIZATION; SWEPT WINGS; HYSTERESIS; FLOW VELOCITY; DEFLECTION; CONICAL FLOW; BOUNDARY CONDITIONS; ANALOGIES...



Discrete Vortex Model For The Symmetric Vortex Flow On Cones


Discrete Vortex Model For The Symmetric Vortex Flow On Cones
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Author : Thomas G. Gainer
language : en
Publisher:
Release Date : 1990

Discrete Vortex Model For The Symmetric Vortex Flow On Cones written by Thomas G. Gainer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Cone categories.




Discrete Vortex Model For The Symmetric Vortex Flow On Cones


Discrete Vortex Model For The Symmetric Vortex Flow On Cones
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-02

Discrete Vortex Model For The Symmetric Vortex Flow On Cones written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-02 with categories.


A relatively simple but accurate potential flow model was developed for studying the symmetric vortex flow on cones. The model is a modified version of the model first developed by Bryson, in which discrete vortices and straight-line feeding sheets were used to represent the flow field. It differs, however, in the zero-force condition used to position the vortices and determine their circulation strengths. The Bryson model imposed the condition that the net force on the feeding sheets and discrete vortices must be zero. The proposed model satisfies this zero-force condition by having the vortices move as free vortices, at a velocity equal to at the local crossflow velocity at their centers. When the free-vortex assumption is made, a solution is obtained in the form of two nonlinear algebraic equations that relate the vortex center coordinates and vortex strengths to the cone angle and angle of attack. The vortex center locations calculated using the model are in good agreement with experimental values. The cone normal forces as well as center locations are in good agreement with the vortex cloud method of calculating symmetric flow fields. Gainer, Thomas G. Langley Research Center RTOP 505-60-21-06...