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Volumn 47, Issue 5, 2005, Pages 387-421

Advances in viscous vortex methods - Meshless spatial adaption based on radial basis function interpolation

Author keywords

Core spreading; Meshless methods; Radial basis functions; Viscous flow simulation; Vortex method

Indexed keywords

COMPUTATIONAL METHODS; ERROR CORRECTION; FINITE DIFFERENCE METHOD; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; RADIAL BASIS FUNCTION NETWORKS;

EID: 13444283314     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.811     Document Type: Article
Times cited : (71)

References (94)
  • 2
    • 0008404405 scopus 로고
    • Die Druckverteilung an Körpern in ebener Potentialströmung
    • Praeger W. Die Druckverteilung an Körpern in ebener Potentialströmung. Physikalische Zeitschrift 1928; XXIX 865-869.
    • (1928) Physikalische Zeitschrift , vol.29 , pp. 865-869
    • Praeger, W.1
  • 3
    • 0001193104 scopus 로고
    • The formation of vortices from a surface of discontinuity
    • Rosenhead L. The formation of vortices from a surface of discontinuity. Proceedings of the Royal Society of London Series A 1931; A134 823):170-192.
    • (1931) Proceedings of the Royal Society of London Series A , vol.A134 , Issue.823 , pp. 170-192
    • Rosenhead, L.1
  • 5
    • 49549168899 scopus 로고
    • Numerical simulation of hydrodynamics by the method of point vortices
    • Christiansen JP. Numerical simulation of hydrodynamics by the method of point vortices. Journal of Computational Physics 1973; 13 363-379.
    • (1973) Journal of Computational Physics , vol.13 , pp. 363-379
    • Christiansen, J.P.1
  • 7
    • 0000510678 scopus 로고
    • High order accurate vortex methods with explicit velocity kernels
    • Beale JT, Majda A. High order accurate vortex methods with explicit velocity kernels. Journal of Computational Physics 1985; 58 188-208.
    • (1985) Journal of Computational Physics , vol.58 , pp. 188-208
    • Beale, J.T.1    Majda, A.2
  • 8
    • 0003152150 scopus 로고
    • On the accuracy of vortex methods at large time
    • Engquist B et al. (eds). Springer: New York
    • Beale JT. On the accuracy of vortex methods at large time. In Computational Fluid Dynamics and Reacting Gas Flows, Engquist B et al. (eds). Springer: New York, 1988; 19-32.
    • (1988) Computational Fluid Dynamics and Reacting Gas Flows , pp. 19-32
    • Beale, J.T.1
  • 10
    • 0031202330 scopus 로고    scopus 로고
    • Quasi-steady monopole and tripole attractors for relaxing vortices
    • Rossi LF, Lingevitch JF, Bernoff AJ. Quasi-steady monopole and tripole attractors for relaxing vortices. Physics of Fluids 1997; 9 2329-2338.
    • (1997) Physics of Fluids , vol.9 , pp. 2329-2338
    • Rossi, L.F.1    Lingevitch, J.F.2    Bernoff, A.J.3
  • 11
    • 0347786769 scopus 로고
    • Numerical study of slightly viscous flow
    • Chorin AJ. Numerical study of slightly viscous flow. Journal of Fluid Mechanics 1973; 57:785-796.
    • (1973) Journal of Fluid Mechanics , vol.57 , pp. 785-796
    • Chorin, A.J.1
  • 13
    • 0021852762 scopus 로고
    • Computing three-dimensional incompressible flows with vortex elements
    • Leonard A. Computing three-dimensional incompressible flows with vortex elements. Annual Review of Fluid Mechanics 1985; 17:523-559.
    • (1985) Annual Review of Fluid Mechanics , vol.17 , pp. 523-559
    • Leonard, A.1
  • 14
    • 0003790203 scopus 로고
    • Vortex methods for separated flows
    • NASA Technical Memorandum #100068
    • Spalart PR. Vortex methods for separated flows. NASA Technical Memorandum #100068, 1988.
    • (1988)
    • Spalart, P.R.1
  • 15
  • 16
    • 0003093505 scopus 로고
    • Vortex methods: An introduction and survey of selected research topics
    • Gunzburger MD, Nicolaides RA (eds). Cambridge University Press: Cambridge
    • Puckett EG. Vortex methods: an introduction and survey of selected research topics. In Incompressible Computational Fluid Dynamics: Trends and Advances, Gunzburger MD, Nicolaides RA (eds). Cambridge University Press: Cambridge, 1993; 335-408.
    • (1993) Incompressible Computational Fluid Dynamics: Trends and Advances , pp. 335-408
    • Puckett, E.G.1
  • 17
    • 0017451407 scopus 로고
    • The calculation of large Reynolds number two-dimensional flow using discrete vortices with random walk
    • Milinazzo F, Saffman PG. The calculation of large Reynolds number two-dimensional flow using discrete vortices with random walk. Journal of Computational Physics 1977; 23:380-392.
    • (1977) Journal of Computational Physics , vol.23 , pp. 380-392
    • Milinazzo, F.1    Saffman, P.G.2
  • 19
    • 84968499110 scopus 로고
    • Convergence of the random vortex method in two dimensions
    • Long DG. Convergence of the random vortex method in two dimensions. Journal of the American Mathematical Society 1988; 1:779-804.
    • (1988) Journal of the American Mathematical Society , vol.1 , pp. 779-804
    • Long, D.G.1
  • 20
    • 17144439978 scopus 로고
    • Numerical studies of two-dimensional vortex motion by a system of points
    • Kuwahara K, Takami H. Numerical studies of two-dimensional vortex motion by a system of points. Journal of the Physical Society of Japan 1973; 34:247-253.
    • (1973) Journal of the Physical Society of Japan , vol.34 , pp. 247-253
    • Kuwahara, K.1    Takami, H.2
  • 22
    • 0001155850 scopus 로고
    • The core spreading vortex method approximates the wrong equation
    • Greengard C. The core spreading vortex method approximates the wrong equation. Journal of Computational Physics 1985; 61:345-348.
    • (1985) Journal of Computational Physics , vol.61 , pp. 345-348
    • Greengard, C.1
  • 23
    • 0000272847 scopus 로고    scopus 로고
    • Resurrecting core spreading vortex methods: A new scheme that is both deterministic and convergent
    • Rossi LF. Resurrecting core spreading vortex methods: a new scheme that is both deterministic and convergent. SIAM Journal on Scientific Computing 1996; 17:370-397.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , pp. 370-397
    • Rossi, L.F.1
  • 24
    • 84968481687 scopus 로고
    • The weighted particle method for convection-diffusion equations. Part 1. The case of an isotropic viscosity
    • Degond P, Mas-Gallic S. The weighted particle method for convection-diffusion equations. Part 1. The case of an isotropic viscosity. Mathematics of Computation 1989; 53:485-507.
    • (1989) Mathematics of Computation , vol.53 , pp. 485-507
    • Degond, P.1    Mas-Gallic, S.2
  • 26
    • 0004050985 scopus 로고
    • Simulation of unsteady separated flows using vortex methods
    • Ph.D. Thesis, California Institute of Technology
    • Koumoutsakos P. Simulation of unsteady separated flows using vortex methods. Ph.D. Thesis, California Institute of Technology, 1993.
    • (1993)
    • Koumoutsakos, P.1
  • 27
    • 0029354755 scopus 로고
    • High resolution simulations of the flow around an impulsively started cylinder using vortex methods
    • Koumoutsakos P, Leonard A. High resolution simulations of the flow around an impulsively started cylinder using vortex methods. Journal of Fluid Mechanics 1995; 296:1-38.
    • (1995) Journal of Fluid Mechanics , vol.296 , pp. 1-38
    • Koumoutsakos, P.1    Leonard, A.2
  • 28
    • 0031541492 scopus 로고    scopus 로고
    • Inviscid axisymmetrization of an elliptical vortex
    • Koumoutsakos P. Inviscid axisymmetrization of an elliptical vortex. Journal of Computational Physics 1997; 138:821-857.
    • (1997) Journal of Computational Physics , vol.138 , pp. 821-857
    • Koumoutsakos, P.1
  • 30
    • 0003087684 scopus 로고    scopus 로고
    • Multi-purpose regridding in vortex methods
    • Toulouse, France, 24-27 August 1998, European Series in Applied and Industrial Mathematics, Giovannini A et al. (eds). Société de Mathématiques Appliqués et Industrielles
    • Cottet GH, Ould Salihi ML, El Hamraoui M. Multi-purpose regridding in vortex methods. In ESAIM P roceedings, III International Workshop on Vortex Flows and Related Numerical Methods. Toulouse, France, 24-27 August 1998, vol. 7. European Series in Applied and Industrial Mathematics, Giovannini A et al. (eds). Société de Mathématiques Appliqués et Industrielles, 1999; 94-103.
    • (1999) ESAIM Proceedings, III International Workshop on Vortex Flows and Related Numerical Methods , vol.7 , pp. 94-103
    • Cottet, G.H.1    Ould Salihi, M.L.2    El Hamraoui, M.3
  • 31
    • 0001057377 scopus 로고    scopus 로고
    • Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry
    • Ploumhans P, Winckelmans GS. Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry. Journal of Computational Physics 2000; 165:354-406.
    • (2000) Journal of Computational Physics , vol.165 , pp. 354-406
    • Ploumhans, P.1    Winckelmans, G.S.2
  • 32
    • 0037141171 scopus 로고    scopus 로고
    • Vortex methods for direct numerical simulation of three-dimensional bluff body flows: Application to the sphere at Re = 300, 500 and 1000
    • Ploumhans P, Winckelmans GS, Salmon JK, Leonard A, Warren MS. Vortex methods for direct numerical simulation of three-dimensional bluff body flows: application to the sphere at Re = 300, 500 and 1000. Journal of Computational Physics 2002; 178:427-463.
    • (2002) Journal of Computational Physics , vol.178 , pp. 427-463
    • Ploumhans, P.1    Winckelmans, G.S.2    Salmon, J.K.3    Leonard, A.4    Warren, M.S.5
  • 33
    • 0036611901 scopus 로고    scopus 로고
    • Vanishing of mode B in the wake behind a rotationally oscillating circular cylinder
    • Poncet P. Vanishing of mode B in the wake behind a rotationally oscillating circular cylinder. Physics of Fluids 2002; 14 2021-2023.
    • (2002) Physics of Fluids , vol.14 , pp. 2021-2023
    • Poncet, P.1
  • 34
    • 0345655580 scopus 로고    scopus 로고
    • Particle methods for direct numerical simulations of three-dimensional wakes
    • Cotter GH, Poncet P. Particle methods for direct numerical simulations of three-dimensional wakes. Journal of Turbulence 2002; 3 038.
    • (2002) Journal of Turbulence , vol.3 , pp. 038
    • Cotter, G.H.1    Poncet, P.2
  • 36
  • 38
    • 0001635394 scopus 로고
    • Rezoning for higher order vortex methods
    • Nordmark H. Rezoning for higher order vortex methods. Journal of Computational Physics 1991; 97:366-397.
    • (1991) Journal of Computational Physics , vol.97 , pp. 366-397
    • Nordmark, H.1
  • 39
    • 0000861379 scopus 로고
    • A Lie-admissible method of integration of Fokker-Planck equations with non-linear coefficients (exact and numerical solutions)
    • Fronteau J, Combis P. A Lie-admissible method of integration of Fokker-Planck equations with non-linear coefficients (exact and numerical solutions). Hadronic Journal 1984; 7:911-930.
    • (1984) Hadronic Journal , vol.7 , pp. 911-930
    • Fronteau, J.1    Combis, P.2
  • 41
    • 0025759743 scopus 로고
    • Flow simulation using the discrete vortex model-the diffusion velocity method
    • Ogami Y, Akamatsu T. Viscous flow simulation using the discrete vortex model-the diffusion velocity method. Computers and Fluids 1991; 19:433-441.
    • (1991) Computers and Fluids , vol.19 , pp. 433-441
    • Ogami, Y.1    Akamatsu, T.V.2
  • 42
    • 0028464476 scopus 로고
    • Construction and validation of a discrete vortex method for the two-dimensional incompressible Navier-Stokes equations
    • Clarke NR, Tutty OR. Construction and validation of a discrete vortex method for the two-dimensional incompressible Navier-Stokes equations. Computers and Fluids 1994; 23:751-783.
    • (1994) Computers and Fluids , vol.23 , pp. 751-783
    • Clarke, N.R.1    Tutty, O.R.2
  • 43
    • 2142662552 scopus 로고    scopus 로고
    • Simulation of heat-vortex interaction by the diffusion velocity method
    • Toulouse, France, 24-27 August 1998, European Series in Applied and Industrial Mathematics, Giovannini A et al. (eds). Société de Mathématiques Appliqués et Industrielles
    • Ogami Y. Simulation of heat-vortex interaction by the diffusion velocity method. In ESAIM Proceedings, III International Workshop on Vortex Flows and Related Numerical Methods, Toulouse, France, 24-27 August 1998, vol. 7. European Series in Applied and Industrial Mathematics, Giovannini A et al. (eds). Société de Mathématiques Appliqués et Industrielles, 1999; 314-324.
    • (1999) ESAIM Proceedings, III International Workshop on Vortex Flows and Related Numerical Methods , vol.7 , pp. 314-324
    • Ogami, Y.1
  • 44
    • 0011431718 scopus 로고
    • A deterministic vortex method for the Navier-Stokes equations
    • Russo G. A deterministic vortex method for the Navier-Stokes equations. Journal of Computational Physics 1993; 108:84-94.
    • (1993) Journal of Computational Physics , vol.108 , pp. 84-94
    • Russo, G.1
  • 45
    • 0000527045 scopus 로고
    • Fast triangulated vortex methods for the 2D Euler equations
    • Russo G, Strain JA. Fast triangulated vortex methods for the 2D Euler equations. Journal of Computational Physics 1994; 111 291-323.
    • (1994) Journal of Computational Physics , vol.111 , pp. 291-323
    • Russo, G.1    Strain, J.A.2
  • 47
    • 0031537296 scopus 로고    scopus 로고
    • A Lagrangian vorticity collocation method for viscous, axisymmetric flows with and without swirl
    • Marshall JS, Grant JR. A Lagrangian vorticity collocation method for viscous, axisymmetric flows with and without swirl. Journal of Computational Physics 1997; 138:302-330.
    • (1997) Journal of Computational Physics , vol.138 , pp. 302-330
    • Marshall, J.S.1    Grant, J.R.2
  • 49
    • 84966235052 scopus 로고
    • Convergence of vortex methods for Euler's equations
    • Hald O, Del Prete VM. Convergence of vortex methods for Euler's equations. Mathematics of Computation 1978; 32:791-801.
    • (1978) Mathematics of Computation , vol.32 , pp. 791-801
    • Hald, O.1    Del Prete, V.M.2
  • 50
    • 0001731074 scopus 로고
    • Convergence of vortex methods for Euler's equations II
    • Hald O. Convergence of vortex methods for Euler's equations II. SIAM Journal on Numerical Analysis 1979; 16:726-755.
    • (1979) SIAM Journal on Numerical Analysis , vol.16 , pp. 726-755
    • Hald, O.1
  • 51
    • 84966254687 scopus 로고
    • Vortex methods I: Convergence in three dimensions
    • Beale JT, Majda A. Vortex methods I: convergence in three dimensions. Mathematics of Computation 1982; 39:1-27.
    • (1982) Mathematics of Computation , vol.39 , pp. 1-27
    • Beale, J.T.1    Majda, A.2
  • 52
    • 84966243111 scopus 로고
    • Vortex methods II: High order accuracy in two and three dimensions
    • Beale JT, Majda A. Vortex methods II: high order accuracy in two and three dimensions. Mathematics of Computation 1982; 39:29-52.
    • (1982) Mathematics of Computation , vol.39 , pp. 29-52
    • Beale, J.T.1    Majda, A.2
  • 53
    • 0023364544 scopus 로고
    • Convergence of vortex methods for Euler's equations III
    • Hald O. Convergence of vortex methods for Euler's equations III. SIAM Journal on Numerical Analysis 1987; 24:538-582.
    • (1987) SIAM Journal on Numerical Analysis , vol.24 , pp. 538-582
    • Hald, O.1
  • 54
    • 0026141959 scopus 로고
    • Convergence of the grid-free point vortex method for the three-dimensional Euler equations
    • Cottet GH, Goodman J, Hou TY. Convergence of the grid-free point vortex method for the three-dimensional Euler equations. SIAM Journal on Numerical Analysis 1991; 28(2):291-307.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , Issue.2 , pp. 291-307
    • Cottet, G.H.1    Goodman, J.2    Hou, T.Y.3
  • 56
    • 0030433612 scopus 로고    scopus 로고
    • Simulations of the viscous flow normal to an impulsively started and uniformly accelerated flat plate
    • Koumoutsakos P, Shiels D. Simulations of the viscous flow normal to an impulsively started and uniformly accelerated flat plate. Journal of Fluid Mechanics 1996; 328:177-227.
    • (1996) Journal of Fluid Mechanics , vol.328 , pp. 177-227
    • Koumoutsakos, P.1    Shiels, D.2
  • 57
    • 0000710017 scopus 로고
    • Extrapolating B-splines for interpolation
    • Monaghan JJ. Extrapolating B-splines for interpolation. Journal of Computational Physics 1985; 60:253-262.
    • (1985) Journal of Computational Physics , vol.60 , pp. 253-262
    • Monaghan, J.J.1
  • 58
    • 9944236693 scopus 로고    scopus 로고
    • Couplage de méthodes numériques en simulation directe d'écoulements incompressibles
    • Ph.D. Thesis, Université Joseph Fourier
    • Ould Salihi ML. Couplage de méthodes numériques en simulation directe d'écoulements incompressibles. Ph.D. Thesis, Université Joseph Fourier, 1998.
    • (1998)
    • Ould Salihi, M.L.1
  • 59
    • 0003899513 scopus 로고    scopus 로고
    • Simulation of controlled bluff body flow with a viscous vortex method
    • Ph.D. Thesis, California Institute of Technology
    • Shiels D. Simulation of controlled bluff body flow with a viscous vortex method. Ph.D. Thesis, California Institute of Technology, 1998.
    • (1998)
    • Shiels, D.1
  • 60
    • 0035946243 scopus 로고    scopus 로고
    • Investigation of a drag reduction on a circular cylinder in rotary oscillation
    • Shiels D, Leonard A. Investigation of a drag reduction on a circular cylinder in rotary oscillation. Journal of Fluid Mechanics 2001; 431:297-322.
    • (2001) Journal of Fluid Mechanics , vol.431 , pp. 297-322
    • Shiels, D.1    Leonard, A.2
  • 61
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some methods
    • Franke R. Scattered data interpolation: tests of some methods. Mathematics of Computation 1982; 38(157): 181-200.
    • (1982) Mathematics of Computation , vol.38 , Issue.157 , pp. 181-200
    • Franke, R.1
  • 62
    • 12944278015 scopus 로고    scopus 로고
    • Characterization and construction of radial basis functions
    • Dyn N, Leviatan D, Levin D, Pinkus A (eds). Cambridge University Press: Cambridge
    • Schaback R, Wendland H. Characterization and construction of radial basis functions. In Multivariate Approximation and Applications, Dyn N, Leviatan D, Levin D, Pinkus A (eds). Cambridge University Press: Cambridge, 2001; 1-24.
    • (2001) Multivariate Approximation and Applications , pp. 1-24
    • Schaback, R.1    Wendland, H.2
  • 63
  • 64
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • Micchelli CA. Interpolation of scattered data: distance matrices and conditionally positive definite functions. Constructive Approximation 1986; 2:11-22.
    • (1986) Constructive Approximation , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 65
    • 0040146904 scopus 로고
    • Norm of inverses and condition numbers for matrices associated with scattered data
    • Narcowich FJ, Ward JD. Norm of inverses and condition numbers for matrices associated with scattered data. Journal of Approximation Theory 1991; 64:69-94.
    • (1991) Journal of Approximation Theory , vol.64 , pp. 69-94
    • Narcowich, F.J.1    Ward, J.D.2
  • 66
    • 38249012211 scopus 로고
    • Norm estimates for the inverses of a general class of scattered data radial function interpolation matrices
    • Narcowich FJ, Ward JD. Norm estimates for the inverses of a general class of scattered data radial function interpolation matrices. Journal of Approximation Theory 1992; 69:84-109.
    • (1992) Journal of Approximation Theory , vol.69 , pp. 84-109
    • Narcowich, F.J.1    Ward, J.D.2
  • 68
    • 0038426086 scopus 로고
    • Eigenvalues of Euclidean distance matrices
    • Ball K. Eigenvalues of Euclidean distance matrices. Journal of Approximation Theory 1992; 68:74-82.
    • (1992) Journal of Approximation Theory , vol.68 , pp. 74-82
    • Ball, K.1
  • 69
    • 13444257935 scopus 로고
    • On the sensitivity of radial basis interpolation to minimal distance separation
    • Ball K, Sivakumar N, Ward JD. On the sensitivity of radial basis interpolation to minimal distance separation. Journal of Approximation Theory 1992; 68:401-426.
    • (1992) Journal of Approximation Theory , vol.68 , pp. 401-426
    • Ball, K.1    Sivakumar, N.2    Ward, J.D.3
  • 70
    • 0013465435 scopus 로고
    • Lower bounds for norms of inverses of interpolation matrices for radial basis functions
    • Schaback R. Lower bounds for norms of inverses of interpolation matrices for radial basis functions. Journal of Approximation Theory 1994; 79:287-306.
    • (1994) Journal of Approximation Theory , vol.79 , pp. 287-306
    • Schaback, R.1
  • 71
    • 0002642902 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions
    • Madych WR, Nelson SA. Multivariate interpolation and conditionally positive definite functions. Constructive Approximation 1988; 4 77-89.
    • (1988) Constructive Approximation , vol.4 , pp. 77-89
    • Madych, W.R.1    Nelson, S.A.2
  • 72
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions: II
    • Madych WR, Nelson SA. Multivariate interpolation and conditionally positive definite functions: II. Mathematics of Computation 1990; 54(189):211-230.
    • (1990) Mathematics of Computation , vol.54 , Issue.189 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 73
    • 14544290310 scopus 로고
    • Local error estimates for radial basis function interpolation of scattered data
    • Wu ZM, Schaback R. Local error estimates for radial basis function interpolation of scattered data. IMA Journal of Numerical Analysis 1993; 13:13-27.
    • (1993) IMA Journal of Numerical Analysis , vol.13 , pp. 13-27
    • Wu, Z.M.1    Schaback, R.2
  • 74
    • 0002567674 scopus 로고
    • Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
    • Madych WR, Nelson SA. Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. Journal of Approximation Theory 1992; 70:94-114.
    • (1992) Journal of Approximation Theory , vol.70 , pp. 94-114
    • Madych, W.R.1    Nelson, S.A.2
  • 75
    • 0001862613 scopus 로고
    • Comparison of radial basis function interpolants
    • Jetter K, Utreras F (eds). World Scientific: London
    • Schaback R. Comparison of radial basis function interpolants. In Multivariate Approximation. From CAGD to Wavelets, Jetter K, Utreras F (eds). World Scientific: London, 1993; 293-305.
    • (1993) Multivariate Approximation. From CAGD to Wavelets , pp. 293-305
    • Schaback, R.1
  • 76
    • 51249166702 scopus 로고
    • Error estimates and condition numbers for radial basis function interpolation
    • Schaback R. Error estimates and condition numbers for radial basis function interpolation. Advances in Computational Mathematics 1995; 3:251-264.
    • (1995) Advances in Computational Mathematics , vol.3 , pp. 251-264
    • Schaback, R.1
  • 77
    • 0033475852 scopus 로고    scopus 로고
    • Improved error bounds for scattered data interpolation by radial basis functions
    • Schaback R. Improved error bounds for scattered data interpolation by radial basis functions. Mathematics of Computation 1999; 68 225):201-216.
    • (1999) Mathematics of Computation , vol.68 , Issue.225 , pp. 201-216
    • Schaback, R.1
  • 79
    • 0001332214 scopus 로고    scopus 로고
    • Fast evaluation of radial basis functions: Moment-based methods
    • Beatson RK, Newsam GN. Fast evaluation of radial basis functions: moment-based methods. SIAM Journal on Scientific Computing 1998; 19(5):1428-1449.
    • (1998) SIAM Journal on Scientific Computing , vol.19 , Issue.5 , pp. 1428-1449
    • Beatson, R.K.1    Newsam, G.N.2
  • 80
    • 0033442485 scopus 로고    scopus 로고
    • Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
    • Beatson RK, Cherrie JB, Mouat CT. Fast fitting of radial basis functions: methods based on preconditioned GMRES iteration. Advances in Computational Mathematics 1999; 11:253-270.
    • (1999) Advances in Computational Mathematics , vol.11 , pp. 253-270
    • Beatson, R.K.1    Cherrie, J.B.2    Mouat, C.T.3
  • 81
    • 0001345487 scopus 로고    scopus 로고
    • A new iterative method for thin plate spline interpolation in two dimensions
    • Powell MJD. A new iterative method for thin plate spline interpolation in two dimensions. Annals of Numerical Mathematics 1997; 4 519-527.
    • (1997) Annals of Numerical Mathematics , vol.4 , pp. 519-527
    • Powell, M.J.D.1
  • 82
    • 0033447845 scopus 로고    scopus 로고
    • Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions
    • Faul AC, Powell MJD. Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions. Advances in Computational Mathematics 1999; 11(2-3):183-192.
    • (1999) Advances in Computational Mathematics , vol.11 , Issue.2-3 , pp. 183-192
    • Faul, A.C.1    Powell, M.J.D.2
  • 83
    • 0004969741 scopus 로고
    • On multigrid techniques for thin plate spline interpolation in two dimensions
    • Renegar J, Shub M, Smale S (eds). American Mathematical Society: Rhode Island
    • Beatson RK, Goodsell G, Powell MJD. On multigrid techniques for thin plate spline interpolation in two dimensions. In The Mathematics of Numerical Analysis, Renegar J, Shub M, Smale S (eds). American Mathematical Society: Rhode Island, 1995; 77-97.
    • (1995) The Mathematics of Numerical Analysis , pp. 77-97
    • Beatson, R.K.1    Goodsell, G.2    Powell, M.J.D.3
  • 84
    • 13444261296 scopus 로고    scopus 로고
    • A Krylov subspace algorithm for multiquadric interpolation in many dimensions
    • DAMTP 2002/NA05, University of Cambridge, April
    • Faul AC, Goodsell G, Powell MJD. A Krylov subspace algorithm for multiquadric interpolation in many dimensions. DAMTP 2002/NA05, University of Cambridge, April 2002.
    • (2002)
    • Faul, A.C.1    Goodsell, G.2    Powell, M.J.D.3
  • 85
    • 0034775741 scopus 로고    scopus 로고
    • Fast solution of the radial basis function interpolation equations: Domain decomposition methods
    • Beatson RK, Light WA, Billings S. Fast solution of the radial basis function interpolation equations: domain decomposition methods. SIAM Journal on Scientific Computing 2000; 22(5):1717-1740.
    • (2000) SIAM Journal on Scientific Computing , vol.22 , Issue.5 , pp. 1717-1740
    • Beatson, R.K.1    Light, W.A.2    Billings, S.3
  • 86
    • 13444309612 scopus 로고    scopus 로고
    • Contributions à la simulation d'écoulements tridimensionnels par méthode de vortex
    • Ph.D. Thesis, Université Paul Sabatier
    • El Hamraoui M. Contributions à la simulation d'écoulements tridimensionnels par méthode de vortex. Ph.D. Thesis, Université Paul Sabatier, 1999.
    • (1999)
    • El Hamraoui, M.1
  • 88
    • 13444257936 scopus 로고    scopus 로고
    • Simulation of high Reynolds number flows past bluff bodies using vortex and boundary element methods
    • Ph.D. Thesis, Universtité Catholique de Louvain
    • Ploumhans P. Simulation of high Reynolds number flows past bluff bodies using vortex and boundary element methods. Ph.D. Thesis, Universtité Catholique de Louvain, 2001.
    • (2001)
    • Ploumhans, P.1
  • 90
    • 84988281754 scopus 로고    scopus 로고
    • Interpolation of geophysical data using continuous global surfaces
    • Billings SD, Beatson RK, Newsam GN. Interpolation of geophysical data using continuous global surfaces. Geophysics 2002; 67 6):1810-1822.
    • (2002) Geophysics , vol.67 , Issue.6 , pp. 1810-1822
    • Billings, S.D.1    Beatson, R.K.2    Newsam, G.N.3
  • 91
    • 31744437674 scopus 로고    scopus 로고
    • Face-centred cubic lattices and particle redistribution in vortex methods
    • Chatelain P, Leonard A. Face-centred cubic lattices and particle redistribution in vortex methods. Journal of Turbulence 2002; 3:046.
    • (2002) Journal of Turbulence , vol.3 , pp. 046
    • Chatelain, P.1    Leonard, A.2
  • 93
    • 13444270910 scopus 로고    scopus 로고
    • Vortex method for high-Reynolds number flows: Increased accuracy with a fully mesh-less formulation
    • Ph.D. Thesis, California Institute of Technology
    • Barba LA. Vortex method for high-Reynolds number flows: increased accuracy with a fully mesh-less formulation. Ph.D. Thesis, California Institute of Technology, 2004.
    • (2004)
    • Barba, L.A.1
  • 94
    • 0023344454 scopus 로고
    • Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation
    • Melander MV, McWilliams JC, Zabusky NJ. Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. Journal of Fluid Mechanics 1987; 178 137-159.
    • (1987) Journal of Fluid Mechanics , vol.178 , pp. 137-159
    • Melander, M.V.1    McWilliams, J.C.2    Zabusky, N.J.3


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