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Volumn 229, Issue 24, 2010, Pages 9216-9234

Two new upwind difference schemes for a coupled system of convection-diffusion equations arising from the steady MHD duct flow problems

Author keywords

Boundary layers; Convection diffusion equations; Duct flows; Hartmann numbers; Magnetohydrodynamic equations; Upwind difference schemes

Indexed keywords

DIFFUSION IN LIQUIDS; DUCTS; HEAT CONVECTION; MAGNETOHYDRODYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 77957755042     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.08.034     Document Type: Article
Times cited : (24)

References (21)
  • 1
    • 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. Methods Eng. 2001, 50:1893-1906.
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , pp. 1893-1906
    • Barrett, K.E.1
  • 2
    • 33847409691 scopus 로고    scopus 로고
    • Fundamental solution for coupled magnetohydrodynamic flow equations
    • Bozkayaa C., Tezer-Sezgin M. Fundamental solution for coupled magnetohydrodynamic flow equations. J. Comput. Appl. Math. 2007, 203:125-144.
    • (2007) J. Comput. Appl. Math. , vol.203 , pp. 125-144
    • Bozkayaa, C.1    Tezer-Sezgin, M.2
  • 3
    • 0001078341 scopus 로고
    • Choosing bubbles for advection-diffusion problems
    • Brezzi F., Russo A. Choosing bubbles for advection-diffusion problems. Math. Models Methods Appl. Sci. 1994, 4:571-587.
    • (1994) Math. Models Methods Appl. Sci. , vol.4 , pp. 571-587
    • Brezzi, F.1    Russo, A.2
  • 4
    • 0026835579 scopus 로고
    • Stabilized finite element methods: I. Application to the advective-diffusive model
    • Franca L.P., Frey S.L., Hughes T.J.R. Stabilized finite element methods: I. Application to the advective-diffusive model. Comput. Methods Appl. Mech. Eng. 1992, 95:253-276.
    • (1992) Comput. Methods Appl. Mech. Eng. , vol.95 , pp. 253-276
    • Franca, L.P.1    Frey, S.L.2    Hughes, T.J.R.3
  • 5
    • 30944444184 scopus 로고    scopus 로고
    • Revisiting stabilized finite element methods for the advective-diffusive equation
    • Franca L.P., Hauke G., Masud A. Revisiting stabilized finite element methods for the advective-diffusive equation. Comput. Methods Appl. Mech. Eng. 2006, 195:1560-1572.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 1560-1572
    • Franca, L.P.1    Hauke, G.2    Masud, A.3
  • 6
    • 85190571658 scopus 로고    scopus 로고
    • A tailored finite point method for solving steady MHD duct flow problems with boundary layers, Commun. Comput. Phys., in press.
    • P.-W. Hsieh, Y. Shih, and S.-Y. Yang, A tailored finite point method for solving steady MHD duct flow problems with boundary layers, Commun. Comput. Phys., in press.
    • Hsieh, P.-W.1    Shih, Y.2    Yang, S.-Y.3
  • 7
    • 70349260089 scopus 로고    scopus 로고
    • A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers
    • Hsieh P.-W., Yang S.-Y. A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers. J. Comput. Phys. 2009, 228:8301-8320.
    • (2009) J. Comput. Phys. , vol.228 , pp. 8301-8320
    • Hsieh, P.-W.1    Yang, S.-Y.2
  • 10
    • 12344265853 scopus 로고    scopus 로고
    • The finite element method for MHD flow at high Hartmann numbers
    • Nesliturk A.I., Tezer-Sezgin M. The finite element method for MHD flow at high Hartmann numbers. Comput. Methods Appl. Mech. Eng. 2005, 194:1201-1224.
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , pp. 1201-1224
    • Nesliturk, A.I.1    Tezer-Sezgin, M.2
  • 11
    • 33646111183 scopus 로고    scopus 로고
    • Finite element method solution of electrically driven magnetohydrodynamic flow
    • Nesliturk A.I., Tezer-Sezgin M. Finite element method solution of electrically driven magnetohydrodynamic flow. J. Comput. Appl. Math. 2006, 192:339-352.
    • (2006) J. Comput. Appl. Math. , vol.192 , pp. 339-352
    • Nesliturk, A.I.1    Tezer-Sezgin, M.2
  • 12
    • 0035885010 scopus 로고    scopus 로고
    • Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type
    • Radhakrishna Pillai A.C. Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type. Int. J. Numer. Methods Fluids 2001, 37:87-106.
    • (2001) Int. J. Numer. Methods Fluids , vol.37 , pp. 87-106
    • Radhakrishna Pillai, A.C.1
  • 15
    • 0242361534 scopus 로고
    • Magnetohydrodynamic axial flow in a triangular pipe under transverse magnetic field
    • Singh B., Lal J. Magnetohydrodynamic axial flow in a triangular pipe under transverse magnetic field. Indian J. Pure Appl. Math. 1978, 9:101-115.
    • (1978) Indian J. Pure Appl. Math. , vol.9 , pp. 101-115
    • Singh, B.1    Lal, J.2
  • 16
  • 17
    • 3342888265 scopus 로고
    • The numerical and exact solutions of MHD flow through a pipe whose section is a sector
    • Singh B., Lal J. The numerical and exact solutions of MHD flow through a pipe whose section is a sector. Indian J. Pure Appl. Math. 1983, 14:146-158.
    • (1983) Indian J. Pure Appl. Math. , vol.14 , pp. 146-158
    • Singh, B.1    Lal, J.2
  • 18
    • 0021393983 scopus 로고
    • FEM for unsteady MHD flow through pipes with arbitrary wall conductivity
    • Singh B., Lal J. FEM for unsteady MHD flow through pipes with arbitrary wall conductivity. Int. J. Numer. Methods Fluids 1984, 4:291-302.
    • (1984) Int. J. Numer. Methods Fluids , vol.4 , pp. 291-302
    • Singh, B.1    Lal, J.2
  • 19
    • 19844375925 scopus 로고    scopus 로고
    • Steady-state convection-diffusion problems
    • Stynes M. Steady-state convection-diffusion problems. Acta Numer. 2005, 445-508.
    • (2005) Acta Numer. , pp. 445-508
    • Stynes, M.1
  • 20
    • 0242381287 scopus 로고    scopus 로고
    • Solution of MHD flow in a rectangular duct by differential quadrature method
    • Tezer-Sezgin M. Solution of MHD flow in a rectangular duct by differential quadrature method. Comput. Fluids 2004, 33:533-547.
    • (2004) Comput. Fluids , vol.33 , pp. 533-547
    • Tezer-Sezgin, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.