메뉴 건너뛰기




Volumn , Issue , 2001, Pages 117-137

Adaptive method of lines for magnetohydrodynamic pde models

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1542595678     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (7)

References (20)
  • 1
    • 0001689247 scopus 로고
    • The effect of nonzero δ ·B on the numerical solution of the magnetohydrodynamic equations
    • J.U. Brackbill and D.C. Barnes, The effect of nonzero δ ·B on the numerical solution of the magnetohydrodynamic equations, J. Comput. Phys., 35, (1980), 426-430.
    • (1980) J. Comput. Phys. , vol.35 , pp. 426-430
    • Brackbill, J.U.1    Barnes, D.C.2
  • 2
    • 45449121905 scopus 로고
    • An upwind difference scheme for the equations of ideal magnetohydrodynamics
    • M. Brio and C.C. Wu, An upwind difference scheme for the equations of ideal magnetohydrodynamics, J. Comput. Phys., 75, (1988), 400-422.
    • (1988) J. Comput. Phys. , vol.75 , pp. 400-422
    • Brio, M.1    Wu, C.C.2
  • 3
    • 0001121137 scopus 로고
    • Simple adaptive grids for 1-D initial value problems
    • E.A. Dorfi and L.O.‘Drury, Simple adaptive grids for 1-D initial value problems, J. Comput. Phys., 69, (1987), 175-195.
    • (1987) J. Comput. Phys. , vol.69 , pp. 175-195
    • Dorfi, E.A.1    Drury, L.O.2
  • 4
    • 0031161659 scopus 로고    scopus 로고
    • Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic Flows
    • H. Friedel, R. Grauer, and C. Marliani, Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic Flows, J. Comput. Phys., 134, (1997), 190-198.
    • (1997) J. Comput. Phys. , vol.134 , pp. 190-198
    • Friedel, H.1    Grauer, R.2    Marliani, C.3
  • 5
    • 85059708406 scopus 로고
    • Analysis of moving mesh partial differential equations with spatial smoothing
    • Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia
    • W. Huang and R.D. Russell, Analysis of moving mesh partial differential equations with spatial smoothing, Research Report, 93-17, (1993), Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia.
    • (1993) Research Report , pp. 17-93
    • Huang, W.1    Russell, R.D.2
  • 6
    • 0344339061 scopus 로고    scopus 로고
    • Growth and saturation of the Kelvin-Helmholtz instability with parallel and antiparallel magnetic fields
    • R. Keppens, G. Tóth, R.H.J. Westermann, and J.P. Goedbloed, Growth and saturation of the Kelvin-Helmholtz instability with parallel and antiparallel magnetic fields, J. Plasma Phys., 61, (1999), 1-19.
    • (1999) J. Plasma Phys. , vol.61 , pp. 1-19
    • Keppens, R.1    Tóth, G.2    Westermann, R.H.J.3    Goedbloed, J.P.4
  • 7
    • 33645446563 scopus 로고    scopus 로고
    • Dynamic grid adaptation for computational magnetohydrodynamics
    • Springer Verlag, Berlin
    • R. Keppens, M. Nool, P.A. Zegeling, and J.P. Goedbloed, Dynamic grid adaptation for computational magnetohydrodynamics, Lecture Notes in Computer Science, 1823, (2000), Springer Verlag, Berlin, 61-70.
    • (2000) Lecture Notes in Computer Science , vol.1823 , pp. 61-70
    • Keppens, R.1    Nool, M.2    Zegeling, P.A.3    Goedbloed, J.P.4
  • 8
    • 0003523904 scopus 로고    scopus 로고
    • Computational methods for astrophysical fluid flow
    • lecture notes 1997, Swiss Society for Astroph. and Astron., O. Steiner and A. Gautschy, eds., Springer Verlag, Berlin
    • R.L. LeVeque, D. Mihalas, E.A. Dorfi, and E. Müller, Computational methods for astrophysical fluid flow, Saas-Fee Advanced Course, 27, (1998), lecture notes 1997, Swiss Society for Astroph. and Astron., O. Steiner and A. Gautschy, eds., Springer Verlag, Berlin.
    • (1998) Saas-Fee Advanced Course , pp. 27
    • LeVeque, R.L.1    Mihalas, D.2    Dorfi, E.A.3    Müller, E.4
  • 9
    • 0000853759 scopus 로고    scopus 로고
    • Relationship of the multimode kink instability to δ-spot formation
    • M.G. Linton, G.H. Fisher, R.B. Dahlburg, and Y. Fan, Relationship of the multimode kink instability to δ-spot formation, Astrophys. J., 522, (1999), 1190-1205.
    • (1999) Astrophys. J. , vol.522 , pp. 1190-1205
    • Linton, M.G.1    Fisher, G.H.2    Dahlburg, R.B.3    Fan, Y.4
  • 10
    • 0002753571 scopus 로고
    • A description of DASSL: A differential/algebraic system solver
    • R.S. Stepleman et al., eds., North-Holland, Amsterdam
    • L.R. Petzold, A description of DASSL: A differential/algebraic system solver, IMACS Transactions on Scientific Computation, (1983), R.S. Stepleman et al., eds., North-Holland, Amsterdam, 65-68.
    • (1983) IMACS Transactions on Scientific Computation , pp. 65-68
    • Petzold, L.R.1
  • 12
    • 4243869796 scopus 로고
    • ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II. The magnetohydrodynamic algorithms and tests
    • J.M. Stone and M.L. Norman, ZEUS-2D: a radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II. The magnetohydrodynamic algorithms and tests, Astrophys. J. Suppl., 80, (1992), 791-818.
    • (1992) Astrophys. J. Suppl. , vol.80 , pp. 791-818
    • Stone, J.M.1    Norman, M.L.2
  • 13
    • 0030268703 scopus 로고    scopus 로고
    • Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
    • G. Tóth and D. Odstřcil, Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems, J. Comput. Phys., 128, (1996), 82-100.
    • (1996) J. Comput. Phys. , vol.128 , pp. 82-100
    • Tóth, G.1    Odstřcil, D.2
  • 14
    • 21444448345 scopus 로고    scopus 로고
    • A general code for modeling MHD flows on parallel computers: Versatile Advection Code
    • G. Tóth, A general code for modeling MHD flows on parallel computers: Versatile Advection Code, Astrophys. Lett. & Comm., 34, (1996), 245-250.
    • (1996) Astrophys. Lett. & Comm. , vol.34 , pp. 245-250
    • Tóth, G.1
  • 15
    • 0001085487 scopus 로고    scopus 로고
    • Implicit and semi-implicit schemes in the Versatile Advection Code: Numerical tests
    • G. Tóth, R. Keppens, and M.A. Botchev, Implicit and semi-implicit schemes in the Versatile Advection Code: numerical tests, Astron. & Astroph., 332, 1159-1170.
    • Astron. & Astroph. , vol.332 , pp. 1159-1170
    • Tóth, G.1    Keppens, R.2    Botchev, M.A.3
  • 16
    • 3142755400 scopus 로고
    • Local uniform grid refinement for time-dependent partial differential equations
    • Centrum voor Wiskunde en Informatica, Amsterdam
    • R.A. Trompert, Local uniform grid refinement for time-dependent partial differential equations, CWI-tract, 107, (1995), Centrum voor Wiskunde en Informatica, Amsterdam.
    • (1995) CWI-tract , pp. 107
    • Trompert, R.A.1
  • 17
    • 0001375074 scopus 로고    scopus 로고
    • The expulsion of magnetic flux by eddies
    • N.O. Weiss, The expulsion of magnetic flux by eddies, Proc. of Roy. Soc. A, 293, (1996), 310-328.
    • (1996) Proc. of Roy. Soc. A , vol.293 , pp. 310-328
    • Weiss, N.O.1
  • 18
    • 0039232401 scopus 로고
    • Moving grid methods for time-dependent partial differential equations
    • Centrum voorWiskunde en Informatica, Amsterdam
    • P.A. Zegeling, Moving grid methods for time-dependent partial differential equations, CWI-tract, 94, (1993), Centrum voorWiskunde en Informatica, Amsterdam.
    • (1993) CWI-tract , pp. 94
    • Zegeling, P.A.1
  • 19
    • 0031620421 scopus 로고    scopus 로고
    • R-refinement for evolutionary PDEs with finite elements or finite differences
    • P.A. Zegeling, r-refinement for evolutionary PDEs with finite elements or finite differences, Appl. Num. Maths., 26, (1998), 97-104.
    • (1998) Appl. Num. Maths. , vol.26 , pp. 97-104
    • Zegeling, P.A.1
  • 20
    • 0032714391 scopus 로고    scopus 로고
    • Athree-dimensional Cartesian adaptive mesh code for compressible magnetohydrodynamics
    • U. Ziegler, Athree-dimensional Cartesian adaptive mesh code for compressible magnetohydrodynamics, Comp. Phys. Comm., 116, (1999), 65-77.
    • (1999) Comp. Phys. Comm. , vol.116 , pp. 65-77
    • Ziegler, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.