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| Belotserkovsky S.M., Lifanov I.K. — Method of Discrete Vortices |
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| Предметный указатель |
Regularizing factors,singular integral calculations and 346—350
Regularizing factors,two-dimensional airfoil problems and 262
Regularizing parameters 25
Regularizing variables 23
Relative velocity 247
Restriction of function 402
Rhombus 341
Riemann problem 4
Riemann — Hilbert problem 395
Segments,canonic division of 40
Segments,canonic division of,finite-span wings and 96
Segments,canonic division of,for nonintersecting segments 166
Segments,canonic division of,singular integral equations and 137
Segments,full equation on 154—162
Segments,full equation on,canonic division and 156
Segments,full equation on,Fredholm equations and 154
Segments,full equation on,Poincare — Bertrand formula and 157
Segments,full equation on,Prandtl equation and 162
Segments,nonintersecting 56
Segments,rectilinear vortex 249
Segments,singular integral equations on 127—147
Segments,singular integral equations on,approximate solution to 192
Segments,singular integral equations on,canonic division and 137
Segments,singular integral equations on,Cramer rule and 130
Segments,singular integral equations on,gamma functions and 132
Segments,singular integral equations on,Hadamard criterion and 146
Segments,singular integral equations on,nonuniform division and 148—154
Segments,singular integral equations on,numerical solution of 168—173
Segments,singular integral equations on,of second kind 191 -196
Segments,singular integral equations on,Poincare — Bertrand formula and 136
Segments,singular integrals on 39—51
Segments,singular integrals on,theorems for 42 48
Segments,union of 56
Self-regularization 345
Separated flow 23
Separated flow,asymmetric unsteady 339
Separated flow,numerical calculations for 335—342
Separated flow,symmetric unsteady 339
Separated flow,unsteady 342
Separation locus of vortex sheet 15
Sharp tail 12
Shedding 26
Sherman — Lauricella equations 363
Shock waves 8
Simple layer potential 422
Singular integral equations 1—20 also
Singular integral equations in boundary value problems 387
Singular integral equations of elasticity theory see "Elasticity of"
Singular integral equations of first kind 21
Singular integral equations of second kind 219
Singular integral equations on circles 196—199
Singular integral equations on piecewise smooth curves 203—211
Singular integral equations on segments see under "Segments"
Singular integral equations with Cauchy kernel 274
Singular integral equations with Hilbert’s kernel 199—203
Singular integral equations with Hilbert’s kernel,of first kind 422
Singular integral equations with Hilbert’s kernel,variable coefficients and 212—215
Singular integral equations with logarithmic singularity 419—421
Singular integral equations with multiple Cauchy integrals see "Multiple singular Cauchy integrals"
Singular integral equations with variable coefficients 203—211
Singular integral equations,boundary value problems reduced to 419—424
Singular integral equations,Carleman’s 5
Singular integral equations,degenerate 363
Singular integral equations,differentiation of 419—421
Singular integral equations,direct numerical methods in 7
Singular integral equations,future development of 1
Singular integral equations,general theory of 401
Singular integral equations,history of 2—7
Singular integral equations,numerical solutions for 350—357
Singular integral equations,optimal airfoil problem and 14—20
Singular integral equations,problems of 4
Singular integral equations,regularizing factors for 350—357
Singular integral equations,Singular integral equations,systems of 4
Singular integral equations,two-dimensional airfoil problems and 280
Singular integrals 2 also
Singular integrals for finite-span wings 96—103
Singular integrals in aerodynamics 83—92
Singular integrals on circles 66—69
Singular integrals on segments 39—51
Singular integrals on segments,theorems for 42—48
Singular integrals over closed contours 32—39
Singular integrals over piecewise smooth curves 51—56
Singular integrals with Hilbert’s kernel 57—58
Singular integrals,calculations for 110—113
Singular integrals,Cauchy principal value of 3
Singular integrals,defined 29—32
Singular integrals,diagonal 280
Singular integrals,equations for see "Singular integral equations"
Singular integrals,estimation of 346
Singular integrals,ill-posedness of equations with 343—346
Singular integrals,multi-dimensional 24
Singular integrals,multi-dimensional,quadrature formulas for 103—110
Singular integrals,multiple see "Multiple singular integrals"
Singular integrals,multiple Cauchy see "Multiple singular Cauchy integrals"
Singular integrals,one-dimensional see "One-dimensional singular integrals"
Singular integrals,Poincare — Bertrand formula and 115—120
Singular integrals,quadrature formulas for 24
Singular integrals,regularizing factors and 346—350
Singular integrals,theory of 29—32
Singular integrals,two-dimensional 101
Singular nodes 204
Singular operator of second kind 219
Singularities 21
Singularities at end points 25
Singularities of lifting surface 21
Singularities,discrete 26
Singularities,field 8
Singularities,integrable 6
Singularities,logarithmic 419—421
Sink 267
Slanting horseshoe vortices 293
Slanting normal 276—281
Smooth contours 30 -275
Smooth curves 29
Smooth curves,closed 79
Smooth curves,piecewise see "Piecewise smooth curves"
Smooth curves,unclosed 31
Smooth flow 328—331
Smooth line 29
Sokhotsky equations 3
Sokhotsky — Pleneli formulas 208
Sonic barrier 15
Specific heat capacity 371
Speed 8 also
squares 336
Stability problems 351
Stagnation points 15
Stationary flow 239
Stationary wings 288
Steady flow 160
Steady flow past canonical trapezoid 293
Steady flow past finite-span wings 300
Steady flow past thin airfoils 259—264
Steady flow,ideal incompressible 271
Steady flow,incompressible 271
Steady flow,polytropic 7
Steady flow,two-dimensional 259
Steady flow,unbounded 262
strain 371
streamlining 14
Strength 21
Strength of summary vortices 325
Strength of vortex 10
Strength of vortex layer 248
Strength of vortex sheets 259
Strength,constant 254
Strength,distribution of 269
Strength,flow 275
Strength,moving concentrated source of 372
Stress 364
| Stress,concentration of 386
Stress,contact 379
Stress,plane 361
Stress,tangential 368—369
Structural elements 7
Subsonic flow 83
Subsonic speed 8
Suction 10
Summary circulation 289
Summary vortices 250
Supercomputers 425
Superposition principle 375
Supersonic zone 14
Symmetric unsteady separated flow 339
tail 12
Tangential stress 368—369
Tangential velocities 267
Taylor’s Formula 57
Theory of functions of complex variables 1
Theory of gamma functions 132
Thin airfoils 11
Thin airfoils with ejection 266 270
Thin airfoils with flaps 262
Thin airfoils,flow past 21
Thin airfoils,gas flow past 9
Thin airfoils,lift of 1
Thin airfoils,linear unsteady problems for 303—309
Thin airfoils,nonlinear unsteady problem for 316—322
Thin airfoils,steady flow past 259—264
Thin airfoils,two-dimensional problem of 8
Thin plate 15
Thomason condition 337
Three-dimensional airfoil problems 283—301
Three-dimensional airfoil problems,arbitrary plan form wings and 293—301
Three-dimensional airfoil problems,rectangular wings and flow with circulation past 283—288
Three-dimensional airfoil problems,rectangular wings and flow without circulation past 288—293
Three-dimensional blunt body aerodynamic problems 333
Three-dimensional boundary value problems 390
Three-dimensional Cartesian coordinates 252
Three-dimensional Dirichlet and Neumann problems 404
Thrust 7
Total circulation 22
Trailing edges 13
Trailing edges of canonic trapezoids 299
Trailing edges,equations for 300
Trailing edges,flow shedding smoothly from 283
Trailing edges,two-dimensional airfoil problems and 260
Translational velocity 247
Trapezoids 296
Trapezoids,canonic see "Canonic trapezoids"
Triangles 340
Triangular vortices 323
Trigonometric polynomials 202
Two-dimensional Abel equation 310
Two-dimensional airfoil problems 259—282
Two-dimensional airfoil problems,cascades and 264—266
Two-dimensional airfoil problems,ejection and 266—270
Two-dimensional airfoil problems,finite-thickness airfoils and 271—275
Two-dimensional airfoil problems,finite-velocity 260
Two-dimensional airfoil problems,permeable airfoils and 281—282
Two-dimensional airfoil problems,slanting normal and 276—281
Two-dimensional airfoil problems,steady flow and 259—264
Two-dimensional Cauchy integrals 102
Two-dimensional elasticity problems 361—368
Two-dimensional elastodynamic problems 372
Two-dimensional flow 325
Two-dimensional integrodifferential equations 239
Two-dimensional problems 8
Two-dimensional singular integrals 101
Two-dimensional steady flow 259
Unclosed contours 2
Unclosed curves 31
Unclosed line 29
Unclosed Lyapunov curves 51
Unequally spaced data 148
Unequally spaced grid points 113
Uniform grids 233
Uniform metric 345
Uniformly moving punches 368— 386
Uniformly moving punches,boundary conditions and 371
Uniformly moving punches,contact pressure and 369
Uniformly moving punches,contact stress and 379
Uniformly moving punches,Duhamel — Neumann relationships and 372
Uniformly moving punches,Euler constant and 374
Uniformly moving punches,Fourier transform and 371
Uniformly moving punches,friction coefficients and 369
Uniformly moving punches,heat conduction and 370
Uniformly moving punches,heat conductivity and 371
Uniformly moving punches,heat generation and 370
Uniformly moving punches,Jacobi polynomial and 385
Uniformly moving punches,Lame equations and 372
Uniformly moving punches,Poisson coefficient and 385
Uniformly moving punches,tangential stress and 368—369
Unit-radius circles 224
Unperturbed gas flow 7
Unsteady flow 340
Unsteady problems of aerodynamics 357—358
Unsteady problems,linear 303—309
Unsteady problems,nonlinear 316—322
Unsteady problems,regularization in 357—358
Vector How velocity 342
Vekua’s approach 224
Velocity see also "Speed"
Velocity of flight 14
Velocity of free vortices 318
Velocity of vortices 318
Velocity,angular 328
Velocity,average translational 303
Velocity,cross-flow 246
Velocity,finite 269
Velocity,finiteness of 248
Velocity,flow 21
Velocity,fluid 13
Velocity,gas 7
Velocity,gas flow 8
Velocity,normal 295
Velocity,relative 247
Velocity,tangential 267
Velocity,translational 247
Velocity,virtual 15—16
Virtual inertia 26
Virtual inertia of cubes 337
Virtual inertia of squares 336
Virtual inertia,blunt body aerodynamics and 328—331
Virtual inertia,blunt body aerodynamics and,numerical calculations and 331 335
Virtual inertia,coefficients of 330 335
Virtual velocity 15—16
viscosity 15
Viscous friction 14
Volterra equation 309
Volumetric expansion 372
Vortex grids 250
Vortex sheet separation locus 13
Wake 21
Wake no-penetration condition 320
Wings 7
Wings of arbitrary plan form 293—301
Wings,delta 281
Wings,finite-span see "Finite-span wings"
Wings,flow past 248
Wings,infinite-span 160
Wings,oscillating 288
Wings,rectangular see "Rectangular wings"
Wings,stationary 288
Wings,steady motion of 245
Wings,thin 249
Wings,unsteady motion of 245
Zero drag theorem 2
Zero total circulation 23
Zero two-dimensional Jordan measure 109
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