메뉴 건너뛰기




Volumn 17, Issue 2, 1996, Pages 370-397

Resurrecting core spreading vortex methods: A new scheme that is both deterministic and convergent

Author keywords

Computational fluid dynamics; Convergence theory; Vortex methods; Vorticity dynamics

Indexed keywords


EID: 0000272847     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827593254397     Document Type: Article
Times cited : (82)

References (21)
  • 2
    • 84966243111 scopus 로고
    • Vortex methods. II: Higher order accuracy in two and three dimensions
    • J. T. BEALE AND A. MAJDA, Vortex methods. II: Higher order accuracy in two and three dimensions, Math. Comp., 39 (1982), pp. 29-52.
    • (1982) Math. Comp. , vol.39 , pp. 29-52
    • Beale, J.T.1    Majda, A.2
  • 3
    • 0347786769 scopus 로고
    • Numerical study of slightly viscous flow
    • A. J. CHORIN, Numerical study of slightly viscous flow, J. Fluid Mech., 57 (1973), pp. 785-796.
    • (1973) J. Fluid Mech. , vol.57 , pp. 785-796
    • Chorin, A.J.1
  • 4
    • 49349123481 scopus 로고
    • Vortex sheet approximation of boundary layers
    • _, Vortex sheet approximation of boundary layers, J. Comp. Phys., 27 (1978), pp. 428-442.
    • (1978) J. Comp. Phys. , vol.27 , pp. 428-442
  • 5
    • 0002926253 scopus 로고
    • Vortex models and boundary layer instability
    • _, Vortex models and boundary layer instability, SIAM J. Sci. Stat. Comput., 1 (1980), pp. 1-21.
    • (1980) SIAM J. Sci. Stat. Comput. , vol.1 , pp. 1-21
  • 7
    • 84990557431 scopus 로고
    • New stability estimates for the 2-D vortex method
    • J. GOODMAN AND T. Y. HOU, New stability estimates for the 2-D vortex method, Comm. Pure Appl. Math., 44 (1991), pp. 1015-1031.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 1015-1031
    • Goodman, J.1    Hou, T.Y.2
  • 8
    • 0001155850 scopus 로고
    • The core spreading vortex method approximates the wrong equation
    • C. GREENGARD, The core spreading vortex method approximates the wrong equation, J. Comp. Phys., 61 (1985), pp. 345-348.
    • (1985) J. Comp. Phys. , vol.61 , pp. 345-348
    • Greengard, C.1
  • 9
    • 0001731074 scopus 로고
    • Convergence of vortex methods for Euler's equations. II
    • O. H. HALD, Convergence of vortex methods for Euler's equations. II, SIAM J. Numer. Anal., 16 (1979), pp. 726-755.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 726-755
    • Hald, O.H.1
  • 10
    • 0023364544 scopus 로고
    • Convergence of vortex methods for Euler's Equations, III
    • _, Convergence of vortex methods for Euler's Equations, III, SIAM J. Numer. Anal., 24 (1987), pp. 538-582.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 538-582
  • 11
    • 5844271787 scopus 로고
    • Exact desingularization and local regridding for vortex methods
    • C. Greengard, ed., American Mathematical Society, Providence, RI
    • T. Y. HOU, J. LOWENGRUB, AND M. J. SHELLEY, Exact desingularization and local regridding for vortex methods, in Lectures in Applied Mathematics: Vortex Methods and Vortex Dynamics, C. Greengard, ed., American Mathematical Society, Providence, RI, 1991, pp. 341-362.
    • (1991) Lectures in Applied Mathematics: Vortex Methods and Vortex Dynamics , pp. 341-362
    • Hou, T.Y.1    Lowengrub, J.2    Shelley, M.J.3
  • 13
    • 0345513709 scopus 로고
    • Diffusing-vortex numerical scheme for solving incompressible Navier-Stokes equations
    • Z. Y. LU AND T. J. Ross, Diffusing-vortex numerical scheme for solving incompressible Navier-Stokes equations, J. Comp. Phys., 95 (1991), pp. 400-435.
    • (1991) J. Comp. Phys. , vol.95 , pp. 400-435
    • Lu, Z.Y.1    Ross, T.J.2
  • 14
    • 50049098278 scopus 로고
    • Deterministic particle methods: Diffusion and boundary conditions
    • C. Greengarde, ed., American Mathematical Society
    • S. MAS-GALLIC, Deterministic particle methods: Diffusion and boundary conditions, in Lectures in Applied Mathematics: Vortex Methods and Vortex Dynamics, C. Greengarde, ed., American Mathematical Society, 1991, pp. 433-465.
    • (1991) Lectures in Applied Mathematics: Vortex Methods and Vortex Dynamics , pp. 433-465
    • Mas-Gallic, S.1
  • 16
    • 5844399286 scopus 로고
    • Merging computational elements in Lagrangian simulations
    • submitted
    • _, Merging computational elements in Lagrangian simulations, SIAM J. Sci. Comput., submitted, 1995.
    • (1995) SIAM J. Sci. Comput.
  • 17
    • 84951374507 scopus 로고
    • On measuring the accuracy of the vortex method: Using a random method to model stable and unstable flow
    • C. Anderson and C. Greengard, eds., Springer-Verlag, Berlin
    • J. A. SETHIAN, On measuring the accuracy of the vortex method: Using a random method to model stable and unstable flow, in Lecture Notes in Mathematics 1360: Vortex Methods, C. Anderson and C. Greengard, eds., Springer-Verlag, Berlin, 1987, pp. 83-93.
    • (1987) Lecture Notes in Mathematics 1360: Vortex Methods , pp. 83-93
    • Sethian, J.A.1
  • 18
    • 0008529579 scopus 로고
    • A brief overview of vortex methods
    • K. Gustafson and J. A. Sethian, eds., Frontiers in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, PA
    • _, A brief overview of vortex methods, in Vortex Methods and Vortex Motion, K. Gustafson and J. A. Sethian, eds., Frontiers in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1990.
    • (1990) Vortex Methods and Vortex Motion
  • 19
    • 0041358242 scopus 로고
    • Two-dimensional, viscous, incompressible flow in complex geometries on a massively parallel processor
    • J. A. SETHIAN, J.-P. BRUNET, A. GREENBERG, AND J. P. MESIROV, Two-dimensional, viscous, incompressible flow in complex geometries on a massively parallel processor, J. Comp. Phys., 101 (1992), pp. 185-206.
    • (1992) J. Comp. Phys. , vol.101 , pp. 185-206
    • Sethian, J.A.1    Brunet, J.-P.2    Greenberg, A.3    Mesirov, J.P.4
  • 20
    • 0004264649 scopus 로고
    • Chap. 5.5, John Wiley, 2nd ed.
    • A. TUCKER, Applied Combinatorics, Chap. 5.5, John Wiley, 2nd ed., 1984, pp. 204-207.
    • (1984) Applied Combinatorics , pp. 204-207
    • Tucker, A.1
  • 21
    • 0013501168 scopus 로고
    • Tech. Rep. FMRL TR-3, Florida State University, Tallahassee, FL, August
    • L. VAN DOMMELEN, A Vortex Redistribution Technique, Tech. Rep. FMRL TR-3, Florida State University, Tallahassee, FL, August 1989.
    • (1989) A Vortex Redistribution Technique
    • Van Dommelen, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.