메뉴 건너뛰기




Volumn 228, Issue 21, 2009, Pages 8135-8160

An accurate, stable and efficient domain-type meshless method for the solution of MHD flow problems

Author keywords

Hartmann number; Meshless; MHD; MLS; Point collocation

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; LEAST SQUARES APPROXIMATIONS;

EID: 69949100562     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.07.031     Document Type: Article
Times cited : (37)

References (32)
  • 1
    • 8344282784 scopus 로고    scopus 로고
    • Cartesian grid methods using radial basis functions for solving Poisson, Helmholtz, and diffusion-convection equations
    • Chantasiriwan S. Cartesian grid methods using radial basis functions for solving Poisson, Helmholtz, and diffusion-convection equations. Eng. Anal. Bound. Elem. 28 (2004) 1417-1425
    • (2004) Eng. Anal. Bound. Elem. , vol.28 , pp. 1417-1425
    • Chantasiriwan, S.1
  • 2
    • 20344402529 scopus 로고    scopus 로고
    • Novel meshless method for solving the potential problems with arbitrary domain
    • Young D.L., Chen K.H., and Lee C.W. Novel meshless method for solving the potential problems with arbitrary domain. J. Comput. Phys. 209 (2005) 290-321
    • (2005) J. Comput. Phys. , vol.209 , pp. 290-321
    • Young, D.L.1    Chen, K.H.2    Lee, C.W.3
  • 3
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: theory and application to non-spherical stars
    • Gingold R.A., and Monaghan J.J. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. Roy. Astron. Soc. 181 (1977) 275-389
    • (1977) Mon. Not. Roy. Astron. Soc. , vol.181 , pp. 275-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 4
    • 0027035536 scopus 로고
    • Generalizing the finite element method: diffuse approximation and diffuse elements
    • Nayroles B., Touzot G., and Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10 (1992) 307-318
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 5
    • 0028400170 scopus 로고
    • A new implementation of the element free Galerkin method
    • Lu Y.Y., Belytschko T., and Gu L. A new implementation of the element free Galerkin method. Comput. Meth. Appl. Mech. Eng. 113 (1994) 397-414
    • (1994) Comput. Meth. Appl. Mech. Eng. , vol.113 , pp. 397-414
    • Lu, Y.Y.1    Belytschko, T.2    Gu, L.3
  • 8
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: basic theory and applications
    • Melenk J.M., and Babuška I. The partition of unity finite element method: basic theory and applications. Comput. Meth. Appl. Mech. Eng. 139 (1996) 289-314
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuška, I.2
  • 10
    • 0000173856 scopus 로고    scopus 로고
    • Moving least square reproducing kernel methods (I) methodology and convergence
    • Liu W.K., Li S., and Belytschko T. Moving least square reproducing kernel methods (I) methodology and convergence. Comput. Meth. Appl. Mech. Eng. 143 (1996) 422-433
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.143 , pp. 422-433
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 11
    • 0032140071 scopus 로고    scopus 로고
    • A meshless local boundary integral equation (LBIE) method for solving nonlinear problems
    • Zhu T., Zhang J., and Atluri S.N. A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Comput. Mech. 22 (1998) 174-186
    • (1998) Comput. Mech. , vol.22 , pp. 174-186
    • Zhu, T.1    Zhang, J.2    Atluri, S.N.3
  • 12
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin (MLPG) methods
    • Atluri S.N., Kim H.G., and Cho J.Y. A critical assessment of the truly meshless local Petrov-Galerkin (MLPG) methods. Comput. Mech. 24 (1999) 348-372
    • (1999) Comput. Mech. , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 13
    • 0033895789 scopus 로고    scopus 로고
    • A point collocation method based on reproducing kernel approximations
    • Aluru N.R. A point collocation method based on reproducing kernel approximations. Int. J. Numer. Meth. Eng. 47 (2000) 1083-1121
    • (2000) Int. J. Numer. Meth. Eng. , vol.47 , pp. 1083-1121
    • Aluru, N.R.1
  • 14
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Faireeather F., and Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math. 9 1-2 (1998) 69-95
    • (1998) Adv. Comput. Math. , vol.9 , Issue.1-2 , pp. 69-95
    • Faireeather, F.1    Karageorghis, A.2
  • 15
    • 0003003063 scopus 로고
    • Approximations and bounds for eigenvalues of elliptic operators
    • Fox L., Henrici P., and Moler C.B. Approximations and bounds for eigenvalues of elliptic operators. SIAM J. Numer. Anal. 4 (1967) 89-102
    • (1967) SIAM J. Numer. Anal. , vol.4 , pp. 89-102
    • Fox, L.1    Henrici, P.2    Moler, C.B.3
  • 18
    • 33748160166 scopus 로고    scopus 로고
    • Solution of magnetohydrodynamic flow problems using the boundary element method
    • Tezer-Sezgin C.M., and Han Aydi{dotless}n S. Solution of magnetohydrodynamic flow problems using the boundary element method. Eng. Anal. Bound. Elem. 30 (2006) 411-418
    • (2006) Eng. Anal. Bound. Elem. , vol.30 , pp. 411-418
    • Tezer-Sezgin, C.M.1    Han Aydin, S.2
  • 19
    • 33847409691 scopus 로고    scopus 로고
    • Fundamental solution for coupled magnetohydrodynamic flow equations
    • Bozkaya C., and Tezer-Sezgin M. Fundamental solution for coupled magnetohydrodynamic flow equations. J. Comput. Appl. Math. 203 (2007) 125-144
    • (2007) J. Comput. Appl. Math. , vol.203 , pp. 125-144
    • Bozkaya, C.1    Tezer-Sezgin, M.2
  • 20
    • 0018468747 scopus 로고
    • MHD axial flow in a triangular pipe under transverse magnetic field parallel to a side of the triangle
    • Singh B., and Lal J. MHD axial flow in a triangular pipe under transverse magnetic field parallel to a side of the triangle. Ind. J. Technol. 17 (1979) 184-189
    • (1979) Ind. J. Technol. , vol.17 , pp. 184-189
    • Singh, B.1    Lal, J.2
  • 21
    • 0020155397 scopus 로고
    • Finite element method in MHD channel flow problems
    • Singh B., and Lal J. Finite element method in MHD channel flow problems. Int. J. Numer. Meth. Eng. 18 (1982) 1104-1111
    • (1982) Int. J. Numer. Meth. Eng. , vol.18 , pp. 1104-1111
    • Singh, B.1    Lal, J.2
  • 22
    • 12344265853 scopus 로고    scopus 로고
    • The finite element method for MHD flow at high Hartmann numbers
    • Nesliturk A.I., and Tezer-Sezgin M. The finite element method for MHD flow at high Hartmann numbers. Comput. Meth. Appl. Mech. Eng. 194 (2005) 1201-1224
    • (2005) Comput. Meth. Appl. Mech. Eng. , vol.194 , pp. 1201-1224
    • Nesliturk, A.I.1    Tezer-Sezgin, M.2
  • 23
    • 0035050579 scopus 로고    scopus 로고
    • Duct flow with a transverse magnetic field at high Hartmann numbers
    • Barrett K.E. Duct flow with a transverse magnetic field at high Hartmann numbers. Int. J. Numer. Meth. Eng. 50 (2001) 1893-1906
    • (2001) Int. J. Numer. Meth. Eng. , vol.50 , pp. 1893-1906
    • Barrett, K.E.1
  • 24
    • 33846140065 scopus 로고    scopus 로고
    • Maximum principle and convergence analysis for the meshfree point collocation method
    • Kim D.W., and Liu W.K. Maximum principle and convergence analysis for the meshfree point collocation method. SIAM J. Numer. Anal. 44 (2006) 515-539
    • (2006) SIAM J. Numer. Anal. , vol.44 , pp. 515-539
    • Kim, D.W.1    Liu, W.K.2
  • 26
    • 69949108106 scopus 로고    scopus 로고
    • Adaptive support domain implementation on the moving least squares approximation for Mfree methods applied on elliptic and parabolic PDE problems using strong-form description
    • Bourantas G.C., Skouras E.D., and Nikiforidis G.C. Adaptive support domain implementation on the moving least squares approximation for Mfree methods applied on elliptic and parabolic PDE problems using strong-form description. CMES: Comput. Model. Eng. 43 (2009) 1-25
    • (2009) CMES: Comput. Model. Eng. , vol.43 , pp. 1-25
    • Bourantas, G.C.1    Skouras, E.D.2    Nikiforidis, G.C.3
  • 28
    • 33749851268 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems
    • Atluri S.N., Liu H.T., and Han Z.D. Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. CMES: Comp. Model. Eng. 14 (2006) 141-152
    • (2006) CMES: Comp. Model. Eng. , vol.14 , pp. 141-152
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 29
    • 33749874042 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) mixed finite differences method for solid mechanics
    • Atluri S.N., Liu H.T., and Han Z.D. Meshless local Petrov-Galerkin (MLPG) mixed finite differences method for solid mechanics. CMES: Comp. Model. Eng. 15 (2006) 1-16
    • (2006) CMES: Comp. Model. Eng. , vol.15 , pp. 1-16
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 30
    • 84938929392 scopus 로고
    • Steady motion of conducting fluids in pipes under transverse magnetic fields
    • Shercliff J.A. Steady motion of conducting fluids in pipes under transverse magnetic fields. Proc. Camb. Philos. Soc. 49 (1953) 136-144
    • (1953) Proc. Camb. Philos. Soc. , vol.49 , pp. 136-144
    • Shercliff, J.A.1
  • 31
    • 84950658093 scopus 로고
    • Magnetohydrodynamic pipe flow I
    • Gold R.R. Magnetohydrodynamic pipe flow I. J. Fluid Mech. 13 (1962) 505-512
    • (1962) J. Fluid Mech. , vol.13 , pp. 505-512
    • Gold, R.R.1
  • 32
    • 0035341648 scopus 로고    scopus 로고
    • Error estimates for moving least square approximations
    • Armentano M.G., and Durán R.G. Error estimates for moving least square approximations. Appl. Numer. Math. 37 (2001) 397-416
    • (2001) Appl. Numer. Math. , vol.37 , pp. 397-416
    • Armentano, M.G.1    Durán, R.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.