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Belotserkovsky S.M., Lifanov I.K. — Method of Discrete Vortices
Belotserkovsky S.M., Lifanov I.K. — Method of Discrete Vortices



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Название: Method of Discrete Vortices

Авторы: Belotserkovsky S.M., Lifanov I.K.

Аннотация:

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.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1 edition

Год издания: 1993

Количество страниц: 451

Добавлена в каталог: 09.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel equation      308
Abel equation,numerical solution of      309—316
Abel equation,two-dimensional      310
Abel integrals      309
Adiabatic processes      7
Aerodynamics      48 also
Aerodynamics for blunt bodies      see "Blunt body aerodynamics"
Aerodynamics,formulation of problems in      245—248
Aerodynamics,fundamental concepts of discrete vortices method and      248 -250
Aerodynamics,fundamental discrete vortex systems and      251—258
Aerodynamics,linear steady problems of      25
Aerodynamics,linearized theory of      10
Aerodynamics,regularization in unsteady problems of      357—358
Aerodynamics,singular integral equations in      see "Singular integral equations"
Aerodynamics,three-dimensional problems in      see "Three-dimensional airfoil problems"
Aerodynamics,two-dimensional problems in      see "Two-dimensional airfoil problems"
Aerodynamics,unsteady problems of      357—358
Aerohydrodynamics      430
Airfoils      see also "Aerodynamics"
Airfoils with sink      267
Airfoils,cascades and      264—266
Airfoils,chord of      10
Airfoils,contour of      11
Airfoils,critical point of      14
Airfoils,curved      22
Airfoils,defined      7
Airfoils,finite-thickness      27f-275
Airfoils,finite-velocity      260
Airfoils,flow past      49
Airfoils,free vortex jumping across surface of      358
Airfoils,Joukowski      13
Airfoils,lift of      see "Lift"
Airfoils,mass ejection on      10
Airfoils,mass suction on      10
Airfoils,moving      8
Airfoils,nose of      15
Airfoils,optimal      1
Airfoils,permeable      281—282
Airfoils,straight linear      13
Airfoils,tail of      15
Airfoils,thickness of      10
Airfoils,thin      see "Thin airfoils"
Airfoils,three-dimensional problems in      see "Three-dimensional airfoil problems"
Airfoils,two-dimensional problems for      see "Two-dimensional airfoil problems"
Analytic at a point      2
Analytic functions      4
Angle of attack      9
Angle of incidence      9
Angular nodes      30
Angular points      30
Angular velocity      328
artificial intelligence      431
Asymmetric unsteady separated flow      339
B-condition      250
Bernoulli integral      14
Bessel equation      391
Bessel function      408
Biot — Savart law      249
blades      7
Blunt body aerodynamics      323—342
Blunt body aerodynamics,integrodifferential equations in      324—327
Blunt body aerodynamics,mathematical formulation of problems in      323—324
Blunt body aerodynamics,numerical calculations and      331—335
Blunt body aerodynamics,numerical calculations in      331—335
Blunt body aerodynamics,separated flows and      335—342
Blunt body aerodynamics,smooth flow and      328—331
Blunt body aerodynamics,three-dimensional problems in      333
Blunt body aerodynamics,virtual inertia and      328—331
Bound vortices      247
Boundary conditions at contour      361
Boundary conditions in boundary value problems      388
Boundary conditions,blunt body aerodynamics and      330
Boundary conditions,elasticity theory and      371
Boundary conditions,no-penetration      259
Boundary conditions,uniformly moving punches and      371
Boundary layers      14
Boundary point displacements      375
Boundary value problems      16
Boundary value problems,Dirichlet and Neumann problems and      404—414
Boundary value problems,Dirichlet and Neumann problems and,formulation of      404—408
Boundary value problems,Dirichlet and Neumann problems and,Laplace equation and      421—423
Boundary value problems,Dirichlet and Neumann problems and,model problems in      408—411
Boundary value problems,discrete singularities and      402 417
Boundary value problems,dual equations in      387—395
Boundary value problems,dual equations in,method for solving      396—404
Boundary value problems,mixed      387—395
Boundary value problems,reduction of to singular integral equations      419—424
Boundary value problems,three-dimensional      390
buildings      340
Canonic division      229
Canonic division of circles      33
Canonic division of closed Lyapunov curve      93
Canonic division of curves      38
Canonic division of segments      40
Canonic division of segments for nonintersecting segments      166
Canonic division of segments of unclosed Lyapunov curve      124
Canonic division of segments,finite-span wings and      96
Canonic division of segments,full equation and      156
Canonic division of segments,singular integral equations and      137
Canonic domain      18
Canonic function      205
Canonic solution      5
Canonic trapezoids      89
Canonic trapezoids,leading edge of      299
Canonic trapezoids,noncirculatory flow past      298
Canonic trapezoids,steady flow past      293
Canonic trapezoids,trailing edge of      299
Carleman’s singular integral equation      5
Cartesian coordinates      105
Cauchy integrals      2
Cauchy integrals,defined      2
Cauchy integrals,double      219
Cauchy integrals,multiple      see "Multiple singular Cauchy integrals"
Cauchy integrals,one-dimensional      77
Cauchy integrals,two-dimensional      102
Cauchy kernel      4
Cauchy principal value      2
Cauchy problem      319
Cauchy — Lagrange integrals      247
Cavity hydrodynamics      6
Chaplygin — Joukowski condition      22
Chaplygin — Joukowski condition,blunt body aerodynamics and      326—327
Chaplygin — Joukowski condition,three-dimensional airfoil problems and      283
Chebyshev polynomials      24
circles      352
Circles,canonic division of      33
Circles,elasticity theory and      365
Circles,equations of first kind on      175—182
Circles,Hilbert’s kernel in equations on      182—190
Circles,quadrature formulas for singular integrals on      180
Circles,singular integral equations on      196—199
Circles,singular integrals on      66—69
Circles,unit-radius      224
Circulation      10 also
Circulation around material loop      325
Circulation of discrete vortices      21
Circulation of free vortices      304
Circulation past rectangular wings      283—288
Circulation, change in      247
Circulation,constancy of      303
Circulation,nonzero total      22
Circulation,problems in      246
Circulation,summary      289
Circulation,time-independent      303
Circulation,total      22
Circulation,two-dimensional airfoil problems and      260
Circulation,unknown      339
Circulation,zero total      23
Circulatory flow      22
Close neighborhoods      53
Closed contours      2
Closed contours,blunt body aerodynamics and      331
Closed contours,Lyapunov      38
Closed contours,singular integrals over      32—39
Closed curves      39
Closed rectangular vortices      255
Closed triangular vortices      323
Closed vortex polygons      249
Collocation points      250
Common multipliers      227
Complex function      2
Complex potential      10
Complex variables      1
Condition II      30
Conformal mapping      18
Conjugated sequences      311
Conservation of energy      8
Conservation of mass      8
Conservation of momentum      8
Constructing theory of Fredholm      155
Contact pressure      369
Contact stress      379
Continuous curves      273
Continuous kernels      155
Continuous vortex surface      248
Contours,boundary conditions at      361
Contours,closed      see "Closed contours"
Contours,smooth      30
Contours,unclosed      2
coordinates      105
Coulomb law      381
Cramer rule      130
Cross-flow velocity      246
Cubes      337
Curves,canonic division of      38
Curves,closed      39
Curves,continuous      273
Curves,Lyapunov      see "Lyapunov curves"
Curves,node of      32
Curves,nonintersecting smooth closed      217
Curves,open      51
Curves,piecewise Lyapunov      52
Curves,piecewise smooth      see "Piecewise smooth curves"
Curves,plane      224
Curves,smooth      see "Smooth curves"
Curves,unclosed      31
Curvilinear free vortices      250
Cusps      30
Delta wings      281
Density of gases      7
Difference formulas      58—60
Dirac function      371
Dirichlet and Neumann problems for Helmholtz equation      404—414
Dirichlet and Neumann problems for Helmholtz equation,formulation of      404—408
Dirichlet and Neumann problems for Helmholtz equation,model problems in      408—411
Dirichlet and Neumann problems for Laplace equation      421—423
Discarded multipliers      83
Discontinuities      3
Discontinuities of first kind      179
Discontinuities,infinite      343
Discontinuities,power-law integrable      426
Dissipation of gas energy      8
Divergence theorem      8
Divergent improper integral      2
Double Cauchy integrals      219
Double layer potential      422
Drag      2
Drag vortex separation      15
Duhamel — Neumann relationships      372
D’Alembert — Euler paradox      8
Eigenfunctions      364
Ejection      10
Elasticity      135
Elasticity,theory of      361—386
Elasticity,theory of,contact problem of indentation and      368—380
Elasticity,theory of,Duhamel — Neumann relationships and      372
Elasticity,theory of,Euler constant and      374
Elasticity,theory of,Fourier transform and      371
Elasticity,theory of,Jacobi polynomial and      385
Elasticity,theory of,Lame equations and      372
Elasticity,theory of,Poisson coefficient and      385
Elasticity,theory of,two-dimensional problems of      361—368
Elasticity,theory of,uniformly moving punches and      see "Uniformly moving punches"
Elastodynamics      370
Electrodynamics      402
Electromagnetic wave diffraction      395
Electrostatics      402
Energy conservation      8
Equally spaced data      111
Equally spaced grid points      112
Errors      353
Euler constant      374
Euler equations of motion      247
Explicit methods      7
Field singularities      8
Fikhtengoltz formulas      44
Finite elements method      7
Finite velocity      269
Finite-span wings      96—103
Finite-span wings in stationary flow      239
Finite-span wings of complex plan form      323
Finite-span wings,rectangular      239
Finite-span wings,schematic representation of      246
Finite-span wings,separated flow models for      323
Finite-span wings,steady flow past      300
Finite-span wings,subsonic flow past      83
Finite-thickness airfoils      271—275
Finite-velocity airfoil problems      260
Flight      14
Flow      see also "Circulation"
Flow of incompressible fluid      14
Flow past airfoils      49
Flow past blunt bodies      323
Flow past canonic trapezoids      295
Flow past infinite-span wings      160
Flow past rectangular wings      283—288
Flow past thin airfoils      21
Flow past thin wings      249
Flow past wings      248
Flow,circulatory      22
Flow,gas      7
Flow,irrotational      7
Flow,modes of      22
Flow,no-circulation      261
Flow,noncirculatory      see "Noncirculatory flow"
Flow,perturbed      8
Flow,polytropic      7
Flow,potential of      14
Flow,separated      see "Separated flow"
Flow,smooth      328—331
Flow,stationary      239
Flow,steady      see "Steady flow"
Flow,strength of      275
Flow,subsonic      83
Flow,time-independent      303
Flow,two-dimensional      325
Flow,unbounded      262
Flow,unperturbed gas      7
Flow,unsteady      340
Flow,velocity of      21
Fluid,ideal      303
Fluid,incompressible      83
Fluid,inviscid incompressible      245
Fluid,perfect incompressible      83
Fluid,velocity of      13
Fourier heat conduction law      370
Fourier series      214
Fourier temperature transformant      371
Fourier transform      371
Fredholm equations      4
1 2 3 4
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