메뉴 건너뛰기




Volumn 23, Issue 1-2, 2005, Pages 143-169

A projection technique for incompressible flow in the meshless finite volume particle method

Author keywords

Finite volume method; Incompressible flow; Meshless method; Projection method

Indexed keywords


EID: 16244389956     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-004-1831-7     Document Type: Article
Times cited : (23)

References (19)
  • 1
    • 0000310338 scopus 로고    scopus 로고
    • A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
    • A.S. Almgren, J.B. Bell and W.G. Szyraczak, A numerical method for the incompressible Navier-Stokes equations based on an approximate projection, SIAM J. Sci. Comput. 17 (1996) 358-369.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 358-369
    • Almgren, A.S.1    Bell, J.B.2    Szyraczak, W.G.3
  • 2
    • 0000561534 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comp. 23 (1968) 341-354.
    • (1968) Math. Comp. , vol.23 , pp. 341-354
    • Chorin, A.J.1
  • 4
    • 84987572923 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
    • P.M. Gresho and S.T. Chan, On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation, Internat. J. Numer. Methods Fluids 11 (1990) 621-659.
    • (1990) Internat. J. Numer. Methods Fluids , vol.11 , pp. 621-659
    • Gresho, P.M.1    Chan, S.T.2
  • 5
    • 0034969881 scopus 로고    scopus 로고
    • A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDE
    • M. Griebel and M. Schweitzer, A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDE, SIAM J. Sci. Comput. 22 (2000) 853-890.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 853-890
    • Griebel, M.1    Schweitzer, M.2
  • 7
    • 16244386602 scopus 로고    scopus 로고
    • Consistency by coefficient-correction in the finite volume particle method
    • Meshfree Methods for Partial Differential Equations, eds. M. Griebel and M.A. Schweitzer (Springer, Berlin)
    • D. Hietel and R. Keck, Consistency by coefficient-correction in the finite volume particle method, in: Meshfree Methods for Partial Differential Equations, eds. M. Griebel and M.A. Schweitzer, Lecture Notes in Computational Science and Engineering, Vol. 26 (Springer, Berlin, 2002) pp. 211-222.
    • (2002) Lecture Notes in Computational Science and Engineering , vol.26 , pp. 211-222
    • Hietel, D.1    Keck, R.2
  • 10
    • 16244374033 scopus 로고    scopus 로고
    • Consistency analysis for meshfree methods for conservation laws
    • M. Junk and J. Struckmeier, Consistency analysis for meshfree methods for conservation laws, Mitt. Ges. Angew. Math. Mech. 24 (2002) 99-126.
    • (2002) Mitt. Ges. Angew. Math. Mech. , vol.24 , pp. 99-126
    • Junk, M.1    Struckmeier, J.2
  • 11
    • 16244409876 scopus 로고    scopus 로고
    • Ph.D. thesis, Department of Mathematics, University of Kaiserslautem, Germany (Shaker, Aachen)
    • R. Keck, A Meshless Projection Method for Incompressible Flow, Ph.D. thesis, Department of Mathematics, University of Kaiserslautem, Germany (Shaker, Aachen, 2002).
    • (2002) A Meshless Projection Method for Incompressible Flow
    • Keck, R.1
  • 12
    • 0000578716 scopus 로고
    • Semi-implicit extension of a Godunov-type scheme based on low mach number asymptotics I: One-dimensional flow
    • R. Klein, Semi-implicit extension of a Godunov-type scheme based on low mach number asymptotics I: One-dimensional flow, J. Comput. Phys. 121 (1995) 213-237.
    • (1995) J. Comput. Phys. , vol.121 , pp. 213-237
    • Klein, R.1
  • 14
    • 0000880485 scopus 로고    scopus 로고
    • Extension of finite volume compressible flow solvers to multi-dimensional, variable density zero Mach number flows
    • T. Schneider, N. Botta, K.J. Geratz and R. Klein, Extension of finite volume compressible flow solvers to multi-dimensional, variable density zero Mach number flows, J. Comput. Phys. 155 (1999) 248-286.
    • (1999) J. Comput. Phys. , vol.155 , pp. 248-286
    • Schneider, T.1    Botta, N.2    Geratz, K.J.3    Klein, R.4
  • 15
    • 16244419445 scopus 로고
    • Multivariate Rekonstruktionsverfahren zur numerischen Berechnung hyperbolischer Erhal-tungsgleichungen
    • Deutsche Forschungsanstalt für Luft- und Raumfahrt e. V., Institut für Strömungsmechanik, Göttingen
    • T. Sonar, Multivariate Rekonstruktionsverfahren zur numerischen Berechnung hyperbolischer Erhal-tungsgleichungen, Technical Report 95-02, Deutsche Forschungsanstalt für Luft- und Raumfahrt e. V., Institut für Strömungsmechanik, Göttingen (1995).
    • (1995) Technical Report , vol.95 , Issue.2
    • Sonar, T.1
  • 17
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires II
    • R. Temam, Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires II, Arch. Rational Mech. Anal. 33 (1969) 377-385.
    • (1969) Arch. Rational Mech. Anal. , vol.33 , pp. 377-385
    • Temam, R.1
  • 18
    • 16244390610 scopus 로고    scopus 로고
    • Finite pointset method based on the projection method for simulations of the incompressible Navier-Stokes equations
    • Meshfree Methods for Partial Differential Equations, eds. M. Griebel and M.A. Schweitzer, (Springer, Berlin)
    • S. Tiwari and J. Kuhnert, Finite pointset method based on the projection method for simulations of the incompressible Navier-Stokes equations, in: Meshfree Methods for Partial Differential Equations, eds. M. Griebel and M.A. Schweitzer, Lecture Notes in Computational Science and Engineering, Vol. 26 (Springer, Berlin, 2002) pp. 373-387.
    • (2002) Lecture Notes in Computational Science and Engineering , vol.26 , pp. 373-387
    • Tiwari, S.1    Kuhnert, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.