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Volumn 16, Issue 1, 2001, Pages 057-075

Application of notions and relations of differential geometry to grid generation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; CONFORMAL MAPPING; MATRIX ALGEBRA; TENSORS;

EID: 0141938981     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam-2001-0105     Document Type: Article
Times cited : (9)

References (17)
  • 1
    • 49049134162 scopus 로고
    • Adaptive zoning for singular problems in two directions
    • J. U. Brackbill and J. Saltzman, Adaptive zoning for singular problems in two directions. J. Comp. Phys. (1982) 46, 342-368.
    • (1982) J. Comp. Phys. , vol.46 , pp. 342-368
    • Brackbill, J.U.1    Saltzman, J.2
  • 2
    • 4243494298 scopus 로고
    • An equipotential zoner on a quadrilateral mesh
    • Memo, Lawrence Livermore National Lab., 5 July
    • W. P. Crowley, An equipotential zoner on a quadrilateral mesh. Memo, Lawrence Livermore National Lab., 5 July, 1962.
    • (1962)
    • Crowley, W.P.1
  • 3
    • 0003000540 scopus 로고
    • Numerical solution on a moving curvilinear grid for viscous heat-conducting flow about a body of revolution
    • (in Russian)
    • N.T. Danaev, V.D. Liseikin, and N.N. Yanenko, Numerical solution on a moving curvilinear grid for viscous heat-conducting flow about a body of revolution. Chisl. Metody Mekhan. Sploshnoi Sredy (1980) 11, No. 1, 51-61 (in Russian).
    • (1980) Chisl. Metody Mekhan. Sploshnoi Sredy , vol.11 , Issue.1 , pp. 51-61
    • Danaev, N.T.1    Liseikin, V.D.2    Yanenko, N.N.3
  • 4
    • 0000379994 scopus 로고
    • Adaptive grid generation from harmonic maps on riemannian manifolds
    • A.S. Dvinsky, Adaptive Grid Generation from Harmonic Maps on Riemannian Manifolds. J. Comp. Phys. (1991) 95, 450-476.
    • (1991) J. Comp. Phys. , vol.95 , pp. 450-476
    • Dvinsky, A.S.1
  • 6
    • 0030075929 scopus 로고    scopus 로고
    • Computational conformal mapping for surface grid generation
    • A. Khamayseh and C. W. Mastin, Computational conformal mapping for surface grid generation. J. Comp. Phys. (1996), 123, 394-401.
    • (1996) J. Comp. Phys. , vol.123 , pp. 394-401
    • Khamayseh, A.1    Mastin, C.W.2
  • 8
    • 44949285630 scopus 로고
    • On generation of regular grids on n-dimensional surfaces
    • V.D. Liseikin, On generation of regular grids on n-dimensional surfaces. USSR Comp. Math. Math. Phys. (1991) 31, No. 11, 47-57.
    • (1991) USSR Comp. Math. Math. Phys. , vol.31 , Issue.11 , pp. 47-57
    • Liseikin, V.D.1
  • 10
    • 0001643480 scopus 로고
    • On some interpretations of a smoothness functional used in constructing regular and adaptive grids
    • V.D. Liseikin, On some interpretations of a smoothness functional used in constructing regular and adaptive grids. Russ. J. Numer. Anal. Math. Modelling (1993) 8, No. 6, 507-518.
    • (1993) Russ. J. Numer. Anal. Math. Modelling , vol.8 , Issue.6 , pp. 507-518
    • Liseikin, V.D.1
  • 11
    • 0141948493 scopus 로고
    • Adaptive Grid Methods
    • Doctoral thesis, Novosibirsk; {in Russian}
    • V.D. Liseikin, Adaptive Grid Methods. Doctoral thesis, Novosibirsk, 1992 {in Russian}.
    • (1992)
    • Liseikin, V.D.1
  • 12
    • 0019028641 scopus 로고
    • Direct control of the grid point distribution in meshes generated by elliptic equations
    • P.D. Thomas and J.F. Middlecoff, Direct control of the grid point distribution in meshes generated by elliptic equations. AIAA J. (1980) 18, No. 6, 652-656.
    • (1980) AIAA J. , vol.18 , Issue.6 , pp. 652-656
    • Thomas, P.D.1    Middlecoff, J.F.2
  • 14
    • 0011297409 scopus 로고
    • Tensors and differential geometry applied to analytic and numerical coordinate generation
    • MSSU-EIRS-81-1, Aerospace Engineering, Mississippi State University
    • Z.U.A. Warsi, Tensors and Differential Geometry Applied to Analytic and Numerical Coordinate Generation. MSSU-EIRS-81-1, Aerospace Engineering, Mississippi State University, 1981.
    • (1981)
    • Warsi, Z.U.A.1
  • 15
    • 0025447121 scopus 로고
    • Theoretical foundation of the equations for the generation of surface coordinates
    • Z.U.A. Warsi, Theoretical foundation of the equations for the generation of surface coordinates. AIAA J. (1990) 28, No. 6, 1140-1142.
    • (1990) AIAA J. , vol.28 , Issue.6 , pp. 1140-1142
    • Warsi, Z.U.A.1
  • 16
    • 0012592932 scopus 로고
    • Adaptive mesh zoning by the equipotential method
    • UCID-19062, Lawrence Livermore National Lab.
    • A. M. Winslow, Adaptive mesh zoning by the equipotential method. UCID-19062, Lawrence Livermore National Lab., 1981.
    • (1981)
    • Winslow, A.M.1
  • 17
    • 0000416730 scopus 로고
    • Equipotential zoning of two-dimensional meshes
    • A.M. Winslow, Equipotential zoning of two-dimensional meshes. J. Comp. Phys. (1967) 1, 149-172.
    • (1967) J. Comp. Phys. , vol.1 , pp. 149-172
    • Winslow, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.