메뉴 건너뛰기




Volumn 231, Issue 3, 2012, Pages 718-744

Parallel, grid-adaptive approaches for relativistic hydro and magnetohydrodynamics

Author keywords

AMR; Relativistic HD; Relativistic MHD; Shock capturing schemes

Indexed keywords

CODES (SYMBOLS); MAGNETOPLASMA; MESSAGE PASSING; PLASMA DIAGNOSTICS;

EID: 82455218936     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.01.020     Document Type: Article
Times cited : (316)

References (95)
  • 1
    • 0033455999 scopus 로고    scopus 로고
    • GENESIS: a high-resolution code for three-dimensional relativistic hydrodynamics
    • Aloy M.A., Ibáñez J.M., Martí J.M., Müller E. GENESIS: a high-resolution code for three-dimensional relativistic hydrodynamics. ApJS 1999, 122:151.
    • (1999) ApJS , vol.122 , pp. 151
    • Aloy, M.A.1    Ibáñez, J.M.2    Martí, J.M.3    Müller, E.4
  • 2
    • 33645799688 scopus 로고    scopus 로고
    • A powerful hydrodynamic booster for relativistic jets
    • Aloy M.A., Rezzolla L. A powerful hydrodynamic booster for relativistic jets. Astrophys. J. 2006, 640:L115.
    • (2006) Astrophys. J. , vol.640
    • Aloy, M.A.1    Rezzolla, L.2
  • 4
    • 30544435282 scopus 로고    scopus 로고
    • Cosmos++: relativistic magnetohydrodynamics on unstructured grids with local adaptive refinement
    • Anninos P., Fragile P.C., Salmonson J.D. Cosmos++: relativistic magnetohydrodynamics on unstructured grids with local adaptive refinement. ApJ 2005, 635:723.
    • (2005) ApJ , vol.635 , pp. 723
    • Anninos, P.1    Fragile, P.C.2    Salmonson, J.D.3
  • 5
    • 77952855689 scopus 로고    scopus 로고
    • Relativistic magnetohydrodynamics: renormalized eigenvectors and full wave decomposition Riemann solver
    • Antón L., Miralles J.A., Martí J.M., Ibáñez J.M., Aloy M.A., Mimica P. Relativistic magnetohydrodynamics: renormalized eigenvectors and full wave decomposition Riemann solver. ApJS 2010, 188:1.
    • (2010) ApJS , vol.188 , pp. 1
    • Antón, L.1    Miralles, J.A.2    Martí, J.M.3    Ibáñez, J.M.4    Aloy, M.A.5    Mimica, P.6
  • 6
    • 0035628942 scopus 로고    scopus 로고
    • Total variation diminishing scheme for relativistic magnetohydrodynamics
    • Balsara D.S. Total variation diminishing scheme for relativistic magnetohydrodynamics. Astrophys. J. Suppl. Ser. 2001, 132:83.
    • (2001) Astrophys. J. Suppl. Ser. , vol.132 , pp. 83
    • Balsara, D.S.1
  • 7
    • 2142768368 scopus 로고    scopus 로고
    • A comparison between divergence-cleaning and staggered-mesh formulations for numerical magnetohydrodynamics
    • Balsara D.S., Kim J. A comparison between divergence-cleaning and staggered-mesh formulations for numerical magnetohydrodynamics. Astrophys. J. 2004, 602:1079.
    • (2004) Astrophys. J. , vol.602 , pp. 1079
    • Balsara, D.S.1    Kim, J.2
  • 8
    • 0005310928 scopus 로고
    • Data structures for adaptive grid generation
    • Berger M.J. Data structures for adaptive grid generation. SIAM J. Sci. Stat. Comput. 1986, 7:904.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 904
    • Berger, M.J.1
  • 9
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger M.J., Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 1989, 82:64.
    • (1989) J. Comput. Phys. , vol.82 , pp. 64
    • Berger, M.J.1    Colella, P.2
  • 10
    • 47749127112 scopus 로고    scopus 로고
    • Simulations of relativistic astrophysical flows, in: T. Plewa, T. Linde, V.G. Weirs (Eds.), Adaptive Mesh Refinement - Theory and Applications, Lecture Notes in Computational Science and Engineering
    • J. Bergmans, R. Keppens, D.E.A. van Odyck, A. Achterberg, Simulations of relativistic astrophysical flows, in: T. Plewa, T. Linde, V.G. Weirs (Eds.), Adaptive Mesh Refinement - Theory and Applications, Lecture Notes in Computational Science and Engineering, vol. 41, 2005, p. 223.
    • (2005) , vol.41 , pp. 223
    • Bergmans, J.1    Keppens, R.2    van Odyck, D.E.A.3    Achterberg, A.4
  • 11
    • 85190075778 scopus 로고    scopus 로고
    • Cactus toolkit at
    • Cactus toolkit at http://cactuscode.org.
  • 12
    • 64249088301 scopus 로고    scopus 로고
    • Compact third-order limiter functions for finite volume methods
    • Cada M., Torrilhon M. Compact third-order limiter functions for finite volume methods. J. Comput. Phys. 2009, 228:4118.
    • (2009) J. Comput. Phys. , vol.228 , pp. 4118
    • Cada, M.1    Torrilhon, M.2
  • 14
    • 85190078677 scopus 로고    scopus 로고
    • Chombo library at
    • Chombo library at http://seesar.lbl.gov/ANAG/chombo/.
  • 15
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas dynamical simulations
    • Colella P., Woodward P.R. The piecewise parabolic method (PPM) for gas dynamical simulations. J. Comput. Phys. 1984, 54:174.
    • (1984) J. Comput. Phys. , vol.54 , pp. 174
    • Colella, P.1    Woodward, P.R.2
  • 17
    • 0035455630 scopus 로고    scopus 로고
    • A note on magnetic monopoles and the one-dimensional MHD Riemann problems
    • Dellar P.J. A note on magnetic monopoles and the one-dimensional MHD Riemann problems. J. Comput. Phys. 2001, 172:392.
    • (2001) J. Comput. Phys. , vol.172 , pp. 392
    • Dellar, P.J.1
  • 18
    • 67650928366 scopus 로고    scopus 로고
    • An exact Riemann-solver-based solution for regular shock refraction
    • Delmont P., Keppens R., van der Holst B. An exact Riemann-solver-based solution for regular shock refraction. J. Fluid Mech. 2009, 627:33.
    • (2009) J. Fluid Mech. , vol.627 , pp. 33
    • Delmont, P.1    Keppens, R.2    van der Holst, B.3
  • 19
    • 0036683242 scopus 로고    scopus 로고
    • An efficient shock-capturing central-type scheme for multidimensional relativistic flows. I. Hydrodynamics
    • Del Zanna L., Bucciantini N. An efficient shock-capturing central-type scheme for multidimensional relativistic flows. I. Hydrodynamics. Astron. Astrophys. 2002, 390:1177.
    • (2002) Astron. Astrophys. , vol.390 , pp. 1177
    • Del Zanna, L.1    Bucciantini, N.2
  • 20
    • 0037340917 scopus 로고    scopus 로고
    • An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics
    • Del Zanna L., Bucciantini N., Londrillo P. An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics. Astron. Astrophys. 2003, 400:397.
    • (2003) Astron. Astrophys. , vol.400 , pp. 397
    • Del Zanna, L.1    Bucciantini, N.2    Londrillo, P.3
  • 21
    • 34848909568 scopus 로고    scopus 로고
    • ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics
    • Del Zanna L., Zanotti O., Bucciantini N., Londrillo P. ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics. Astron. Astrophys. 2007, 473:11.
    • (2007) Astron. Astrophys. , vol.473 , pp. 11
    • Del Zanna, L.1    Zanotti, O.2    Bucciantini, N.3    Londrillo, P.4
  • 22
    • 0026155382 scopus 로고
    • Numerical simulations of special relativistic, magnetic gas flows
    • Dubal M.R. Numerical simulations of special relativistic, magnetic gas flows. Comput. Phys. Commun. 1991, 64:221.
    • (1991) Comput. Phys. Commun. , vol.64 , pp. 221
    • Dubal, M.R.1
  • 23
    • 0000194504 scopus 로고
    • Simulation of magnetohydrodynamic flows - a constrained transport method
    • Evans C.R., Hawley J.F. Simulation of magnetohydrodynamic flows - a constrained transport method. Astrophys. J. 1988, 332:659.
    • (1988) Astrophys. J. , vol.332 , pp. 659
    • Evans, C.R.1    Hawley, J.F.2
  • 24
    • 85190080061 scopus 로고    scopus 로고
    • FLASH3 user guide at
    • FLASH3 user guide at http://flash.uchicago.edu.
  • 25
    • 0001108656 scopus 로고
    • Multidimensional relativistic hydrodynamics: characteristic fields and modern high-resolution shock-capturing schemes
    • Font J.A., Ibáñez J.M., Marquina A., Martí J.M. Multidimensional relativistic hydrodynamics: characteristic fields and modern high-resolution shock-capturing schemes. Astron. Astrophys. 1994, 282:304.
    • (1994) Astron. Astrophys. , vol.282 , pp. 304
    • Font, J.A.1    Ibáñez, J.M.2    Marquina, A.3    Martí, J.M.4
  • 26
    • 53349146786 scopus 로고    scopus 로고
    • Numerical hydrodynamics and magnetohydrodynamics in general relativity
    • Font J.A. Numerical hydrodynamics and magnetohydrodynamics in general relativity. Living Rev. Relat. 2008, 11:7.
    • (2008) Living Rev. Relat. , vol.11 , pp. 7
    • Font, J.A.1
  • 27
    • 0041731758 scopus 로고    scopus 로고
    • HARM: a numerical scheme for general relativistic magnetohydrodynamics
    • Gammie C.F., McKinney J.C., Tóth G. HARM: a numerical scheme for general relativistic magnetohydrodynamics. Astrophys. J. 2003, 589:444.
    • (2003) Astrophys. J. , vol.589 , pp. 444
    • Gammie, C.F.1    McKinney, J.C.2    Tóth, G.3
  • 28
    • 40249109778 scopus 로고    scopus 로고
    • An unsplit Godunov method for ideal MHD via constrained transport in three dimensions
    • Gardiner T.A., Stone J. An unsplit Godunov method for ideal MHD via constrained transport in three dimensions. J. Comput. Phys. 2008, 227:4123.
    • (2008) J. Comput. Phys. , vol.227 , pp. 4123
    • Gardiner, T.A.1    Stone, J.2
  • 29
    • 33749009825 scopus 로고    scopus 로고
    • The exact solution of the Riemann problem in relativistic MHD
    • Giacomazzo B., Rezzolla L. The exact solution of the Riemann problem in relativistic MHD. J. Fluid Mech. 2006, 562:223.
    • (2006) J. Fluid Mech. , vol.562 , pp. 223
    • Giacomazzo, B.1    Rezzolla, L.2
  • 30
    • 34250009814 scopus 로고    scopus 로고
    • WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics
    • Giacomazzo B., Rezzolla L. WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics. CQGra 2007, 24:S235.
    • (2007) CQGra , vol.24
    • Giacomazzo, B.1    Rezzolla, L.2
  • 32
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten A., Lax P.D., van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 1983, 25:35.
    • (1983) SIAM Rev. , vol.25 , pp. 35
    • Harten, A.1    Lax, P.D.2    van Leer, B.3
  • 33
    • 33947154802 scopus 로고    scopus 로고
    • HLLC solver for ideal relativistic MHD
    • Honkkila V., Janhunen P. HLLC solver for ideal relativistic MHD. J. Comput. Phys. 2007, 223:643.
    • (2007) J. Comput. Phys. , vol.223 , pp. 643
    • Honkkila, V.1    Janhunen, P.2
  • 34
    • 0042762140 scopus 로고    scopus 로고
    • Three-dimensional hydrodynamic simulations of relativistic extragalactic jets
    • Hughes P.A., Miller M.A., Duncan G.C. Three-dimensional hydrodynamic simulations of relativistic extragalactic jets. Astrophys. J. 2002, 572:713.
    • (2002) Astrophys. J. , vol.572 , pp. 713
    • Hughes, P.A.1    Miller, M.A.2    Duncan, G.C.3
  • 35
    • 85190072294 scopus 로고    scopus 로고
    • Idl is a product of ITT Visual Information Solutions
    • Idl is a product of ITT Visual Information Solutions http://www.ittvis.com.
  • 36
    • 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. 2000, 160:649.
    • (2000) J. Comput. Phys. , vol.160 , pp. 649
    • Janhunen, P.1
  • 37
    • 55149099207 scopus 로고    scopus 로고
    • Linear wave propagation in relativistic magnetohydrodynamics
    • Keppens R., Meliani Z. Linear wave propagation in relativistic magnetohydrodynamics. Phys. Plasmas 2008, 15:102103.
    • (2008) Phys. Plasmas , vol.15 , pp. 102103
    • Keppens, R.1    Meliani, Z.2
  • 38
    • 84901380429 scopus 로고    scopus 로고
    • Grid-adaptive simulations of relativistic flows
    • Springer, Berlin
    • Keppens R., Meliani Z. Grid-adaptive simulations of relativistic flows. Computational Fluid Dynamics 2006 2009, vol. 335. Springer, Berlin.
    • (2009) Computational Fluid Dynamics 2006 , vol.335
    • Keppens, R.1    Meliani, Z.2
  • 39
    • 47749131857 scopus 로고    scopus 로고
    • Extragalactic jets with helical magnetic fields: relativistic MHD simulations
    • Keppens R., Meliani Z., van der Holst B., Casse F. Extragalactic jets with helical magnetic fields: relativistic MHD simulations. Astron. Astrophys. 2008, 486:663.
    • (2008) Astron. Astrophys. , vol.486 , pp. 663
    • Keppens, R.1    Meliani, Z.2    van der Holst, B.3    Casse, F.4
  • 40
    • 0038487249 scopus 로고    scopus 로고
    • Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation
    • Keppens R., Nool M., Tóth G., Goedbloed J.P. Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation. Comput. Phys. Commun. 2003, 153:317.
    • (2003) Comput. Phys. Commun. , vol.153 , pp. 317
    • Keppens, R.1    Nool, M.2    Tóth, G.3    Goedbloed, J.P.4
  • 41
    • 23044534854 scopus 로고    scopus 로고
    • OpenMP parallelism for multi-dimensional grid-adaptive magnetohydrodynamic simulations
    • Keppens R., Tóth G. OpenMP parallelism for multi-dimensional grid-adaptive magnetohydrodynamic simulations. Lect. Notes Comput. Sci. 2002, 2329:940.
    • (2002) Lect. Notes Comput. Sci. , vol.2329 , pp. 940
    • Keppens, R.1    Tóth, G.2
  • 42
    • 0041963104 scopus 로고    scopus 로고
    • An approximate Riemann solver for relativistic magnetohydrodynamics
    • Koldoba A.V., Kuznetsov O.A., Ustyugova G.V. An approximate Riemann solver for relativistic magnetohydrodynamics. MNRAS 2002, 333:932.
    • (2002) MNRAS , vol.333 , pp. 932
    • Koldoba, A.V.1    Kuznetsov, O.A.2    Ustyugova, G.V.3
  • 43
    • 0000410254 scopus 로고    scopus 로고
    • A Godunov-type scheme for relativistic magnetohydrodynamics
    • Komissarov S.S. A Godunov-type scheme for relativistic magnetohydrodynamics. MNRAS 1999, 303:343.
    • (1999) MNRAS , vol.303 , pp. 343
    • Komissarov, S.S.1
  • 44
    • 36549025801 scopus 로고    scopus 로고
    • Multi-dimensional numerical scheme for resistive relativistic MHD
    • Komissarov S.S. Multi-dimensional numerical scheme for resistive relativistic MHD. MNRAS 2007, 382:995.
    • (2007) MNRAS , vol.382 , pp. 995
    • Komissarov, S.S.1
  • 45
    • 0003339238 scopus 로고
    • A robust upwind discretization method for advection, diffusion and source terms
    • Vieweg, Braunschweig, C.B. Vreugdenhil, B. Koren (Eds.) Numerical Methods for Advection-Diffusion Problems
    • Koren B. A robust upwind discretization method for advection, diffusion and source terms. Notes on Numerical Fluid Mechanics 1993, vol. 45:117. Vieweg, Braunschweig. C.B. Vreugdenhil, B. Koren (Eds.).
    • (1993) Notes on Numerical Fluid Mechanics , vol.45 , pp. 117
    • Koren, B.1
  • 46
    • 0347987814 scopus 로고    scopus 로고
    • New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
    • Kurganov A., Tadmor E. New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. J. Comput. Phys. 2000, 160:241.
    • (2000) J. Comput. Phys. , vol.160 , pp. 241
    • Kurganov, A.1    Tadmor, E.2
  • 48
    • 0023331554 scopus 로고
    • An adaptive finite element scheme for transient problems in CFD
    • Löhner R. An adaptive finite element scheme for transient problems in CFD. Comput. Methods Appl. Mech. Eng. 1987, 61:323.
    • (1987) Comput. Methods Appl. Mech. Eng. , vol.61 , pp. 323
    • Löhner, R.1
  • 50
    • 0042496155 scopus 로고
    • The hydromagnetic free expansion of a relativistic gas
    • Mathews W.G. The hydromagnetic free expansion of a relativistic gas. Astrophys. J. 1971, 165:147.
    • (1971) Astrophys. J. , vol.165 , pp. 147
    • Mathews, W.G.1
  • 51
    • 0002300781 scopus 로고
    • A method for incorporating Gauss' law into electromagnetic PIC codes
    • Marder B. A method for incorporating Gauss' law into electromagnetic PIC codes. J. Comput. Phys. 1987, 68:48.
    • (1987) J. Comput. Phys. , vol.68 , pp. 48
    • Marder, B.1
  • 53
    • 3042781165 scopus 로고    scopus 로고
    • Numerical hydrodynamics in special relativity
    • Martí J.M., Müller E. Numerical hydrodynamics in special relativity. Living Rev. Relat. 2003, 6:7.
    • (2003) Living Rev. Relat. , vol.6 , pp. 7
    • Martí, J.M.1    Müller, E.2
  • 54
    • 5444252835 scopus 로고    scopus 로고
    • Relativistic Parker winds with variable effective polytropic index
    • Meliani Z., Sauty C., Tsinganos K., Vlahakis N. Relativistic Parker winds with variable effective polytropic index. Astron. Astrophys. 2004, 425:773.
    • (2004) Astron. Astrophys. , vol.425 , pp. 773
    • Meliani, Z.1    Sauty, C.2    Tsinganos, K.3    Vlahakis, N.4
  • 55
    • 34147123089 scopus 로고    scopus 로고
    • AMRVAC and relativistic hydrodynamic simulations for gamma-ray burst afterglow phases
    • Meliani Z., Keppens R., Casse F., Giannios D. AMRVAC and relativistic hydrodynamic simulations for gamma-ray burst afterglow phases. MNRAS 2007, 376:1189.
    • (2007) MNRAS , vol.376 , pp. 1189
    • Meliani, Z.1    Keppens, R.2    Casse, F.3    Giannios, D.4
  • 56
    • 57049103046 scopus 로고    scopus 로고
    • Fanaroff-Riley type I jet deceleration at density discontinuities
    • Meliani Z., Keppens R., Giacomazzo B. Fanaroff-Riley type I jet deceleration at density discontinuities. Astron. Astrophys. 2008, 491:321.
    • (2008) Astron. Astrophys. , vol.491 , pp. 321
    • Meliani, Z.1    Keppens, R.2    Giacomazzo, B.3
  • 57
    • 70450209514 scopus 로고    scopus 로고
    • Decelerating relativistic two-component jets
    • Meliani Z., Keppens R. Decelerating relativistic two-component jets. Astrophys. J. 2009, 705:1594.
    • (2009) Astrophys. J. , vol.705 , pp. 1594
    • Meliani, Z.1    Keppens, R.2
  • 58
    • 78649291424 scopus 로고    scopus 로고
    • Dynamics and stability of relativistic GRB blast waves
    • Meliani Z., Keppens R. Dynamics and stability of relativistic GRB blast waves. Astron. Astrophys. 2010, 520:L3.
    • (2010) Astron. Astrophys. , vol.520
    • Meliani, Z.1    Keppens, R.2
  • 59
    • 26844568067 scopus 로고    scopus 로고
    • The piecewise parabolic method for multidimensional relativistic fluid dynamics
    • Mignone A., Plewa T., Bodo G. The piecewise parabolic method for multidimensional relativistic fluid dynamics. Astrophys. J. Suppl. Ser. 2005, 160:199.
    • (2005) Astrophys. J. Suppl. Ser. , vol.160 , pp. 199
    • Mignone, A.1    Plewa, T.2    Bodo, G.3
  • 60
    • 27944510991 scopus 로고    scopus 로고
    • An HLLC Riemann solver for relativistic flows - I. Hydrodynamics
    • Mignone A., Bodo G. An HLLC Riemann solver for relativistic flows - I. Hydrodynamics. MNRAS 2005, 364:126.
    • (2005) MNRAS , vol.364 , pp. 126
    • Mignone, A.1    Bodo, G.2
  • 61
    • 33646479917 scopus 로고    scopus 로고
    • An HLLC Riemann solver for relativistic flows - II. Magnetohydrodynamics
    • Mignone A., Bodo G. An HLLC Riemann solver for relativistic flows - II. Magnetohydrodynamics. MNRAS 2006, 368:1040.
    • (2006) MNRAS , vol.368 , pp. 1040
    • Mignone, A.1    Bodo, G.2
  • 63
    • 34250659155 scopus 로고    scopus 로고
    • Equation of state in relativistic magnetohydrodynamics: variable versus constant adiabatic index
    • Mignone A., McKinney J.C. Equation of state in relativistic magnetohydrodynamics: variable versus constant adiabatic index. MNRAS 2007, 378:1118.
    • (2007) MNRAS , vol.378 , pp. 1118
    • Mignone, A.1    McKinney, J.C.2
  • 64
    • 77949340072 scopus 로고    scopus 로고
    • High resolution 3D relativistic MHD simulations of jets
    • Mignone A., Rossi P., Bodo G., Ferrari A., Massaglia S. High resolution 3D relativistic MHD simulations of jets. MNRAS 2010, 402:7.
    • (2010) MNRAS , vol.402 , pp. 7
    • Mignone, A.1    Rossi, P.2    Bodo, G.3    Ferrari, A.4    Massaglia, S.5
  • 65
    • 73649101689 scopus 로고    scopus 로고
    • A second-order unsplit Godunov scheme for cell-centered MHD: the CTU-GLM scheme
    • Mignone A., Tzeferacos P. A second-order unsplit Godunov scheme for cell-centered MHD: the CTU-GLM scheme. J. Comput. Phys. 2010, 229:2117.
    • (2010) J. Comput. Phys. , vol.229 , pp. 2117
    • Mignone, A.1    Tzeferacos, P.2
  • 66
    • 61349164881 scopus 로고    scopus 로고
    • A five-wave Harten-Lax-van Leer Riemann solver for relativistic magnetohydrodynamics
    • Mignone A., Ugliano M., Bodo G. A five-wave Harten-Lax-van Leer Riemann solver for relativistic magnetohydrodynamics. MNRAS 2009, 393:1141.
    • (2009) MNRAS , vol.393 , pp. 1141
    • Mignone, A.1    Ugliano, M.2    Bodo, G.3
  • 67
    • 0037146399 scopus 로고    scopus 로고
    • A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
    • Miller G.H., Colella P. A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing. J. Comput. Phys. 2002, 183:26.
    • (2002) J. Comput. Phys. , vol.183 , pp. 26
    • Miller, G.H.1    Colella, P.2
  • 68
    • 34547247567 scopus 로고    scopus 로고
    • Three-dimensional relativistic magnetohydrodynamic simulations of magnetized spine-sheath relativistic jets
    • Mizuno Y., Hardee P., Nishikawa K.I. Three-dimensional relativistic magnetohydrodynamic simulations of magnetized spine-sheath relativistic jets. Astrophys. J. 2007, 662:835.
    • (2007) Astrophys. J. , vol.662 , pp. 835
    • Mizuno, Y.1    Hardee, P.2    Nishikawa, K.I.3
  • 69
    • 33745321324 scopus 로고    scopus 로고
    • Primitive variable solvers for conservative general relativistic magnetohydrodynamics
    • Noble S.C., Gammie C.F., McKinney J.C., del Zanna L. Primitive variable solvers for conservative general relativistic magnetohydrodynamics. Astrophys. J. 2006, 641:626.
    • (2006) Astrophys. J. , vol.641 , pp. 626
    • Noble, S.C.1    Gammie, C.F.2    McKinney, J.C.3    del Zanna, L.4
  • 70
    • 85190082460 scopus 로고    scopus 로고
    • OpenDX is an open source tool available at
    • OpenDX is an open source tool available at http://www.opendx.org.
  • 71
    • 85190074112 scopus 로고    scopus 로고
    • Paraview is an open source tool available at
    • Paraview is an open source tool available at http://www.paraview.org.
  • 72
    • 36349007181 scopus 로고    scopus 로고
    • A numerical simulation of the evolution and fate of a Fanaroff-Riley type I jet
    • Perucho M., Martí J.M. A numerical simulation of the evolution and fate of a Fanaroff-Riley type I jet. MNRAS 2007, 382:526.
    • (2007) MNRAS , vol.382 , pp. 526
    • Perucho, M.1    Martí, J.M.2
  • 73
    • 0034634849 scopus 로고    scopus 로고
    • The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics
    • Pons J.A., Martí J.M., Müller E. The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics. J. Fluid Mech. 2000, 422:125.
    • (2000) J. Fluid Mech. , vol.422 , pp. 125
    • Pons, J.A.1    Martí, J.M.2    Müller, E.3
  • 74
    • 85190072754 scopus 로고
    • An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More than One Dimension), ICASE Report No. 94-24, Langley VA
    • K.G. Powell, An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More than One Dimension), ICASE Report No. 94-24, Langley VA, 1994.
    • (1994)
    • Powell, K.G.1
  • 76
    • 0345266776 scopus 로고
    • The calculation of the interaction of non-stationary shock waves and obstacles
    • Rusanov V.V. The calculation of the interaction of non-stationary shock waves and obstacles. USSR Comput. Math. Math. Phys. 1961, 1:304.
    • (1961) USSR Comput. Math. Math. Phys. , vol.1 , pp. 304
    • Rusanov, V.V.1
  • 77
    • 33749860469 scopus 로고    scopus 로고
    • Equation of state in numerical relativistic hydrodynamics
    • Ryu D., Chattopadhyay I., Choi E. Equation of state in numerical relativistic hydrodynamics. Astrophys. J. Suppl. Ser. 2006, 166:410.
    • (2006) Astrophys. J. Suppl. Ser. , vol.166 , pp. 410
    • Ryu, D.1    Chattopadhyay, I.2    Choi, E.3
  • 78
    • 0035455905 scopus 로고    scopus 로고
    • Simple and efficient Godunov scheme for computational relativistic gas dynamics
    • Sokolov I.V., Zhang H.-M., Sakai J.I. Simple and efficient Godunov scheme for computational relativistic gas dynamics. J. Comput. Phys. 2001, 172:209.
    • (2001) J. Comput. Phys. , vol.172 , pp. 209
    • Sokolov, I.V.1    Zhang, H.-M.2    Sakai, J.I.3
  • 79
    • 85190073833 scopus 로고    scopus 로고
    • Tecplot is a product of Tecplot, Inc., see
    • Tecplot is a product of Tecplot, Inc., see http://www.tecplot.com.
  • 82
    • 0002960399 scopus 로고    scopus 로고
    • The LASY preprocessor and its application to general multi-dimensional codes
    • Tóth G. The LASY preprocessor and its application to general multi-dimensional codes. J. Comput. Phys. 1997, 138:981.
    • (1997) J. Comput. Phys. , vol.138 , pp. 981
    • Tóth, G.1
  • 83
    • 21444448345 scopus 로고    scopus 로고
    • A general code for modeling MHD flows on parallel computers: versatile advection code
    • Tóth G. A general code for modeling MHD flows on parallel computers: versatile advection code. Astrophys. Lett. Commun. 1996, 34:245. See .
    • (1996) Astrophys. Lett. Commun. , vol.34 , pp. 245
    • Tóth, G.1
  • 84
    • 0030268703 scopus 로고    scopus 로고
    • Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
    • Tóth G., Odstrčil D. Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems. J. Comput. Phys. 1996, 128:82.
    • (1996) J. Comput. Phys. , vol.128 , pp. 82
    • Tóth, G.1    Odstrčil, D.2
  • 85
    • 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. 2000, 161:605.
    • (2000) J. Comput. Phys. , vol.161 , pp. 605
    • Tóth, G.1
  • 86
    • 34548390526 scopus 로고    scopus 로고
    • Hybrid block-AMR in cartesian and curvilinear coordinates: MHD applications
    • van der Holst B., Keppens R. Hybrid block-AMR in cartesian and curvilinear coordinates: MHD applications. J. Comput. Phys. 2007, 226:925.
    • (2007) J. Comput. Phys. , vol.226 , pp. 925
    • van der Holst, B.1    Keppens, R.2
  • 87
    • 52949151880 scopus 로고    scopus 로고
    • A multidimensional grid-adaptive relativistic magnetofluid code
    • van der Holst B., Keppens R., Meliani Z. A multidimensional grid-adaptive relativistic magnetofluid code. Comput. Phys. Commun. 2008, 179:617.
    • (2008) Comput. Phys. Commun. , vol.179 , pp. 617
    • van der Holst, B.1    Keppens, R.2    Meliani, Z.3
  • 88
    • 78650620168 scopus 로고    scopus 로고
    • Radiative cooling in numerical astrophysics: the need for adaptive mesh refinement
    • Fluids, in press
    • A.J. van Marle, R. Keppens, Radiative cooling in numerical astrophysics: the need for adaptive mesh refinement, Comput. Fluids, in press, doi:10.1016/j.compfluid.2010.10.022.
    • Comput.
    • van Marle, A.J.1    Keppens, R.2
  • 89
    • 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. 1979, 32:101.
    • (1979) J. Comput. Phys. , vol.32 , pp. 101
    • van Leer, B.1
  • 90
    • 85190085926 scopus 로고    scopus 로고
    • Visit is available at
    • Visit is available at http://https://wci.llnl.gov/codes/visit/home.html.
  • 91
    • 46349092046 scopus 로고    scopus 로고
    • Relativistic hydrodynamic flows using spatial and temporal adaptive structured mesh refinement
    • Wang P., Abel T., Zhang W. Relativistic hydrodynamic flows using spatial and temporal adaptive structured mesh refinement. Astrophys. J. Suppl. Ser. 2008, 176:467.
    • (2008) Astrophys. J. Suppl. Ser. , vol.176 , pp. 467
    • Wang, P.1    Abel, T.2    Zhang, W.3
  • 93
    • 85190084752 scopus 로고
    • A class of high-resolution explicit and implicit shock-capturing methods, NASA TM-101088
    • H.C. Yee, A class of high-resolution explicit and implicit shock-capturing methods, NASA TM-101088, 1989.
    • (1989)
    • Yee, H.C.1
  • 94
    • 77950277923 scopus 로고    scopus 로고
    • Scaling of the anomalous boost in relativistic jet boundary layer
    • Zenitani S., Hesse M., Klimas A. Scaling of the anomalous boost in relativistic jet boundary layer. Astrophys. J. 2010, 712:951.
    • (2010) Astrophys. J. , vol.712 , pp. 951
    • Zenitani, S.1    Hesse, M.2    Klimas, A.3
  • 95
    • 33745795782 scopus 로고    scopus 로고
    • RAM: a relativistic adaptive mesh refinement hydrodynamics code
    • Zhang W., MacFadyen A.I. RAM: a relativistic adaptive mesh refinement hydrodynamics code. Astrophys. J. Suppl. Ser. 2006, 164:255.
    • (2006) Astrophys. J. Suppl. Ser. , vol.164 , pp. 255
    • Zhang, W.1    MacFadyen, A.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.