메뉴 건너뛰기




Volumn 228, Issue 4, 2009, Pages 952-975

An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

Author keywords

Constrained transport; Corner transport upwind; High order Godunov method; Magnetohydrodynamics; MHD; Staggered mesh; Unsplit scheme

Indexed keywords

ELECTRIC FIELDS; EVOLUTIONARY ALGORITHMS; INTERFACE STATES; MESH GENERATION;

EID: 58149156274     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.08.026     Document Type: Article
Times cited : (246)

References (43)
  • 1
    • 0032337254 scopus 로고    scopus 로고
    • Total variation diminishing scheme for adiabatic and isothermal magnetohydrodynamics
    • Balsara D.S. Total variation diminishing scheme for adiabatic and isothermal magnetohydrodynamics. Astrophys. J. Suppl. 116 (1998) 133-153
    • (1998) Astrophys. J. Suppl. , vol.116 , pp. 133-153
    • Balsara, D.S.1
  • 2
    • 0001690874 scopus 로고    scopus 로고
    • A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamics simulation
    • Balsara D.S., and Spicer D.S. A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamics simulation. J. Comput. Phys. 149 (1999) 270-292
    • (1999) J. Comput. Phys. , vol.149 , pp. 270-292
    • Balsara, D.S.1    Spicer, D.S.2
  • 3
    • 0035842859 scopus 로고    scopus 로고
    • Divergence-free adaptive mesh refinement for magnetohydrodynamics
    • Balsara D.S. Divergence-free adaptive mesh refinement for magnetohydrodynamics. J. Comput. Phys. 174 (2001) 614-648
    • (2001) J. Comput. Phys. , vol.174 , pp. 614-648
    • Balsara, D.S.1
  • 4
    • 1842764950 scopus 로고    scopus 로고
    • Second-order-accurate schemes for magnetohydrodynamics with divergence-free reconstruction
    • Balsara D.S. Second-order-accurate schemes for magnetohydrodynamics with divergence-free reconstruction. Astrophys. J. Suppl. 151 (2004) 149-184
    • (2004) Astrophys. J. Suppl. , vol.151 , pp. 149-184
    • Balsara, D.S.1
  • 5
    • 2142768368 scopus 로고    scopus 로고
    • An intercomparison between divergence-cleaning and staggered mesh formulations for numerical magnetohydrodynamics
    • Balsara D.S., and Kim D. An intercomparison between divergence-cleaning and staggered mesh formulations for numerical magnetohydrodynamics. Astrophys. J. 602 (2004) 1079-1090
    • (2004) Astrophys. J. , vol.602 , pp. 1079-1090
    • Balsara, D.S.1    Kim, D.2
  • 6
    • 84944835023 scopus 로고
    • A time-dependent three-dimensional simulation of the earth's magnetosphere: reconnection events
    • Brecht S.H., Lyon J.G., Fedder J.A., and Hain K. A time-dependent three-dimensional simulation of the earth's magnetosphere: reconnection events. Geophys. Res. Lett. 8 (1981) 397
    • (1981) Geophys. Res. Lett. , vol.8 , pp. 397
    • Brecht, S.H.1    Lyon, J.G.2    Fedder, J.A.3    Hain, K.4
  • 7
    • 45449121905 scopus 로고
    • An upwind differencing scheme for the equations of ideal magnetohydrodynamics
    • Brio M., and Wu C.C. An upwind differencing 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
  • 8
    • 26844455510 scopus 로고
    • Multidimensional upwind methods for hyperbolic conservation laws
    • Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comput. Phys. 87 (1990) 171-200
    • (1990) J. Comput. Phys. , vol.87 , pp. 171-200
    • Colella, P.1
  • 10
    • 28144445934 scopus 로고
    • An approximate Riemann solver for ideal magnetohydrodynamics
    • Dai W., and Woodward P. An approximate Riemann solver for ideal magnetohydrodynamics. J. Comput. Phys. 111 (1994) 354-372
    • (1994) J. Comput. Phys. , vol.111 , pp. 354-372
    • Dai, W.1    Woodward, P.2
  • 11
    • 0001580138 scopus 로고    scopus 로고
    • A simple finite difference scheme for multidimensional magnetohydrodynamics
    • Dai W., and Woodward P. A simple finite difference scheme for multidimensional magnetohydrodynamics. J. Comput. Phys. 142 (1998) 331-369
    • (1998) J. Comput. Phys. , vol.142 , pp. 331-369
    • Dai, W.1    Woodward, P.2
  • 13
    • 0001409128 scopus 로고
    • Flux corrected transport techniques for multidimensional compressible magnetohydrodynamics
    • DeVore C.R. Flux corrected transport techniques for multidimensional compressible magnetohydrodynamics. J. Comput. Phys. 92 (1991) 142-160
    • (1991) J. Comput. Phys. , vol.92 , pp. 142-160
    • DeVore, C.R.1
  • 14
    • 0000194504 scopus 로고
    • Simulation of magnetohydrodynamic flows: a constrained transport method
    • Evans C.R., and Hawley J.F. Simulation of magnetohydrodynamic flows: a constrained transport method. Astrophys. J. 332 (1988) 659-677
    • (1988) Astrophys. J. , vol.332 , pp. 659-677
    • Evans, C.R.1    Hawley, J.F.2
  • 15
    • 85190776831 scopus 로고    scopus 로고
    • FLASH, 2008, .
    • FLASH, 2008, .
  • 16
    • 17144378992 scopus 로고    scopus 로고
    • An unsplit Godunov method for ideal MHD via constrained transport
    • Gardiner T., and Stone J. An unsplit Godunov method for ideal MHD via constrained transport. J. Comput. Phys. 205 (2005) 509-539
    • (2005) J. Comput. Phys. , vol.205 , pp. 509-539
    • Gardiner, T.1    Stone, J.2
  • 17
    • 40249109778 scopus 로고    scopus 로고
    • An unsplit Godunov method for ideal MHD via constrained transport in three dimensions
    • Gardiner T., and Stone J. An unsplit Godunov method for ideal MHD via constrained transport in three dimensions. J. Comput. Phys. 227 (2008) 4123-4141
    • (2008) J. Comput. Phys. , vol.227 , pp. 4123-4141
    • Gardiner, T.1    Stone, J.2
  • 18
    • 85190803710 scopus 로고    scopus 로고
    • J. Stone, T. Gardiner, P. Teuben, J. Hawley, J. Simon, Athena: a new code for astrophysical MHD, 2 April 2008. Available from: [astro-ph] .
    • J. Stone, T. Gardiner, P. Teuben, J. Hawley, J. Simon, Athena: a new code for astrophysical MHD, 2 April 2008. Available from: [astro-ph] .
  • 19
    • 3843137630 scopus 로고    scopus 로고
    • Numerical simulation of Alfvénic turbulence in the solar wind
    • Goldstein M.L., Roberts D.A., Deane A.E., and Ghosh S. Numerical simulation of Alfvénic turbulence in the solar wind. J. Geophys. Res. 104 A7 (1999) 14437-14451
    • (1999) J. Geophys. Res. , vol.104 , Issue.A7 , pp. 14437-14451
    • Goldstein, M.L.1    Roberts, D.A.2    Deane, A.E.3    Ghosh, S.4
  • 20
    • 0001388659 scopus 로고    scopus 로고
    • A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
    • Janhunen P. A positive conservative method for magnetohydrodynamics based on HLL and Roe methods. J. Comput. Phys. 160 (2000) 649-661
    • (2000) J. Comput. Phys. , vol.160 , pp. 649-661
    • Janhunen, P.1
  • 21
    • 58149150401 scopus 로고    scopus 로고
    • A parallel unsplit staggered mesh algorithm for magnetohydrodynamics
    • Deane A., et al. (Ed), Elsevier
    • Lee D., and Deane A. A parallel unsplit staggered mesh algorithm for magnetohydrodynamics. In: Deane A., et al. (Ed). Parallel Computational Fluid Dynamics (2006), Elsevier
    • (2006) Parallel Computational Fluid Dynamics
    • Lee, D.1    Deane, A.2
  • 22
    • 85190754954 scopus 로고    scopus 로고
    • S. Li, Note on Upwinding Constrained Transport Method for Ideal Magnetohydrodynamics, Los Alamos Report, LA-UR-03-8925, 2003.
    • S. Li, Note on Upwinding Constrained Transport Method for Ideal Magnetohydrodynamics, Los Alamos Report, LA-UR-03-8925, 2003.
  • 23
    • 45449115720 scopus 로고    scopus 로고
    • High order central scheme on overlapping cells for magneto-hydrodynamic flows with an without constrained transport method
    • Li S. High order central scheme on overlapping cells for magneto-hydrodynamic flows with an without constrained transport method. J. Comput. Phys. 227 (2008) 7368-7393
    • (2008) J. Comput. Phys. , vol.227 , pp. 7368-7393
    • Li, S.1
  • 24
    • 85190796136 scopus 로고    scopus 로고
    • S. Li, H. Li, A modern code for magneto-hydrodynamics or hydrodynamics equations, Los Alamos Report, LA-UR-03-8925, 2003.
    • S. Li, H. Li, A modern code for magneto-hydrodynamics or hydrodynamics equations, Los Alamos Report, LA-UR-03-8925, 2003.
  • 25
    • 38849151012 scopus 로고    scopus 로고
    • Non-oscillatory hierarchical reconstruction for central and finite-volume schemes
    • Liu Y., Shu C.W., Tadmor E., and Zhang M. Non-oscillatory hierarchical reconstruction for central and finite-volume schemes. Commun. Comput. Phys. 2 (2007) 933-963
    • (2007) Commun. Comput. Phys. , vol.2 , pp. 933-963
    • Liu, Y.1    Shu, C.W.2    Tadmor, E.3    Zhang, M.4
  • 26
    • 0034628190 scopus 로고    scopus 로고
    • High order upwind schemes for multidimensional magnetohydrodynamics
    • Londrillo P., and Del Zanna L. High order upwind schemes for multidimensional magnetohydrodynamics. Astrophys. J. 530 (2000) 508-524
    • (2000) Astrophys. J. , vol.530 , pp. 508-524
    • Londrillo, P.1    Del Zanna, L.2
  • 27
    • 1542531258 scopus 로고    scopus 로고
    • On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method
    • Londrillo P., and Del Zanna L. On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method. J. Comput. Phys. 195 (2004) 14-48
    • (2004) J. Comput. Phys. , vol.195 , pp. 14-48
    • Londrillo, P.1    Del Zanna, L.2
  • 28
    • 19044396045 scopus 로고    scopus 로고
    • A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
    • Miyoshi T., and Kusano K. A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics. J. Comput. Phys. 208 (2005) 315-344
    • (2005) J. Comput. Phys. , vol.208 , pp. 315-344
    • Miyoshi, T.1    Kusano, K.2
  • 29
    • 0018286867 scopus 로고
    • Small-scale structure of two-dimensional magnetohydrodynamics turbulence
    • Orszag A., and Tang C.M. Small-scale structure of two-dimensional magnetohydrodynamics turbulence. J. Fluid Mech. 90 (1979) 129-143
    • (1979) J. Fluid Mech. , vol.90 , pp. 129-143
    • Orszag, A.1    Tang, C.M.2
  • 30
    • 0742306105 scopus 로고    scopus 로고
    • A free, fast, simple and efficient TVD MHD code
    • Pen U., Arras P., and Wong S. A free, fast, simple and efficient TVD MHD code. Astrophys. J. Suppl. 149 (2003) 447-455
    • (2003) Astrophys. J. Suppl. , vol.149 , pp. 447-455
    • Pen, U.1    Arras, P.2    Wong, S.3
  • 31
    • 85190803097 scopus 로고    scopus 로고
    • K.G. Powell, A riemann solver for ideal MHD: that works in more than one dimension, ICASE Report, 94-24, Langely, VA, 1994.
    • K.G. Powell, A riemann solver for ideal MHD: that works in more than one dimension, ICASE Report, 94-24, Langely, VA, 1994.
  • 33
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1981) 357-372
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 34
    • 11944265404 scopus 로고
    • Numerical magnetohydrodynamics in astrophysics: algorithm and tests for one-dimensional flow
    • Ryu D., and Jones T.W. Numerical magnetohydrodynamics in astrophysics: algorithm and tests for one-dimensional flow. Astrophys. J. 442 (1995) 228-258
    • (1995) Astrophys. J. , vol.442 , pp. 228-258
    • Ryu, D.1    Jones, T.W.2
  • 35
    • 0012381666 scopus 로고    scopus 로고
    • A divergence-free upwind code for multidimensional magnetohydrodynamic flow
    • Ryu D., Miniati F., Jones T.W., and Frank A. A divergence-free upwind code for multidimensional magnetohydrodynamic flow. Astrophys. J. 509 (1999) 244-255
    • (1999) Astrophys. J. , vol.509 , pp. 244-255
    • Ryu, D.1    Miniati, F.2    Jones, T.W.3    Frank, A.4
  • 36
    • 0001366931 scopus 로고    scopus 로고
    • Alfvén wave phase mixing driven by velocity shear in two-dimensional open magnetic configurations
    • Ruderman M.S., Goldstein M.L., Roberts D.A., Deane A.E., and Ofman L. Alfvén wave phase mixing driven by velocity shear in two-dimensional open magnetic configurations. J. Geophys. Res. 104 A8 (1999) 17057-17068
    • (1999) J. Geophys. Res. , vol.104 , Issue.A8 , pp. 17057-17068
    • Ruderman, M.S.1    Goldstein, M.L.2    Roberts, D.A.3    Deane, A.E.4    Ofman, L.5
  • 37
    • 0002531306 scopus 로고
    • An unsplit 3D upwind method for hyperbolic conservation laws
    • Saltzman J. An unsplit 3D upwind method for hyperbolic conservation laws. J. Comput. Phys. 115 (1994) 153-168
    • (1994) J. Comput. Phys. , vol.115 , pp. 153-168
    • Saltzman, J.1
  • 38
    • 85190800296 scopus 로고    scopus 로고
    • J. Stone, The Athena Test Suite, .
    • J. Stone, The Athena Test Suite, .
  • 40
    • 0346046827 scopus 로고    scopus 로고
    • The ∇ · B = 0 constraint in shock-capturing magnetohydrodynamics codes
    • Tóth G. The ∇ · B = 0 constraint in shock-capturing magnetohydrodynamics codes. J. Comput. Phys. 161 (2000) 605-656
    • (2000) J. Comput. Phys. , vol.161 , pp. 605-656
    • Tóth, G.1
  • 41
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second-order Sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second-order Sequel to Godunov's method. J. Comput. Phys. 32 (1979) 101-136
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • van Leer, B.1
  • 42
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • Yee K.S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. Antenna Propag. AP-14 (1966) 302-307
    • (1966) IEEE Trans. Antenna Propag. , vol.AP-14 , pp. 302-307
    • Yee, K.S.1
  • 43
    • 0000128492 scopus 로고
    • A higher-order Godunov method for multidimensional ideal magnetohydrodynamics
    • Zachary A., Malagoli A., and Colella P. A higher-order Godunov method for multidimensional ideal magnetohydrodynamics. SIAM J. Sci. Comput. 15 (1994) 263-284
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 263-284
    • Zachary, A.1    Malagoli, A.2    Colella, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.