Skip to main content
SpringerLink
Log in

3D Relativistic Hydrodynamics

  • Chapter
  • First Online:
Relativistic Flows in Astrophysics

Part of the book series: Lecture Notes in Physics ((LNP,volume 589))

Abstract

We review the evolution of the numerical techniques applied in relativistic hydrodynamics since the sixties until today. We focus our attention on the state-of- the-art high-resolution shock-capturing methods and the astrophysical applications involving three-dimensional simulations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C.E. Akujor: Astron.Astrophys. 259, L61 (1992)

    ADS  Google Scholar 

  2. M. Alcubierre, B. Bruegmann, et al.:Phis.Review D 62, 044034 (2000)

    Google Scholar 

  3. M.A. Aloy, J.Maª. Ibáñez, J.Maª. Martí, E. Müller: Astrophys. J. Suppl. 122, 151 (1999)

    Google Scholar 

  4. M.A. Aloy, J.Maª. Ibáñez, J.Maª. Martí, J.L. Gómez, E. Müller: Astrophys. J. Lett. 523, L125 (1999)

    Article  ADS  Google Scholar 

  5. M.A. Aloy, J. Pons, J.Maª. Ibáñez, Comput. Phys.Commun. 120, 115 (1999)

    Article  MATH  ADS  Google Scholar 

  6. M.A. Aloy, J.Maª. Ibáñez, J.Maª. Martí, J.L. Gómez, E. Müller: Astrophys. J. Lett. 528, L85 (2000)

    Article  ADS  Google Scholar 

  7. M.A. Aloy, E. Müller, J.Maª. Ibáñez, J.Maª. Martí, A. MacFadyen: Astrophys. J. Lett. 531, L119 (2000)

    Article  ADS  Google Scholar 

  8. A. M. Anile. Relativistic Fluids and Magnetofluids, (Cambridge University Press, Cambridge 1989)

    Google Scholar 

  9. R. Arnowitt, S. Deser, C.W. Misner. Gravitation: An Introduction to Current Research, ed., Witten, L., (John Wiley, New York, 1962) p. 227

    Google Scholar 

  10. J.M. Attridge, D.H. Roberts, J.F.C. Wardle: Astrophys. J. Lett. 518, L87 (1999)

    Article  ADS  Google Scholar 

  11. D.S. Balsara: J. Comp. Phys. 114, 284 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. F. Banyuls, J.A. Font, J.Maª. Ibáñez, J.Maª. Martí, J.A. Miralles: Astrophys. J. 476, 221 (1997)

    Article  ADS  Google Scholar 

  13. M.C. Begelman, R.D. Blandford, M.J. Rees: Rev. Mod. Phys., 56, 255 (1984)

    Article  ADS  Google Scholar 

  14. M.C. Begelman, M.J. Rees, M. Sikora: Astrophys. J. Lett. 429, L57 (1994)

    Article  ADS  Google Scholar 

  15. M.J. Berger, P. Colella: J. Comp. Phys. 82, 64 (1989)

    Article  MATH  ADS  Google Scholar 

  16. G.V. Bicknell. In Energy Transport in Radio Galaxies and Quasars, eds. P. E. Hardee, A.H. Bridle, J.A. Zensus.(ASP Conference Series, 1996) 100, p. 253

    Google Scholar 

  17. R.D. Blandford. In Active Galactic Nuclei, eds. T.K.-L. Courvoisier and M. Mayor (Springer, Berlin, 1990), p. 161

    Chapter  Google Scholar 

  18. R.D. Blandford, D.G. Payne: Mon. Not. Roy. Astronom. Soc. 199, 883 (1982)

    MATH  ADS  Google Scholar 

  19. R.D. Blandford, M.J. Rees: Mon. Not. Roy. Astronom. Soc. 169, 395 (1974)

    ADS  Google Scholar 

  20. J.P. Boris, D.L. Book: J. Comp. Phys. 11, 38 (1973)

    Article  ADS  Google Scholar 

  21. A.H. Bridle, D.H. Hough, et al.: Astronom. J. 108, 766 (1994)

    Article  ADS  Google Scholar 

  22. G. Cavallo, M.J. Rees: Mon. Not. Roy. Astronom. Soc. 183, 359 (1978)

    ADS  Google Scholar 

  23. J. Centrella, J.R. Wilson: Astrophys. J. 54, 229 (1984)

    Article  ADS  Google Scholar 

  24. A.J. Chorin: J. Comp. Phys. 22, 517 (1976)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  25. E. Chow, J.J. Monaghan: J. Comp. Phys. 134, 296 (1997)

    Article  MATH  ADS  Google Scholar 

  26. P. Colella: SIAM J. Sci. Comput. 3, 76 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  27. P. Colella, P.R. Woodward: J. Comp. Phys. 54, 174 (1984)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  28. E. Costa, et al.: Nature 387, 783 (1997)

    Article  ADS  Google Scholar 

  29. R. Courant, K.O. Friedrichs. Supersonic Flows and Shock Waves, (Springer, Berlin 1976)

    Google Scholar 

  30. W. Dai, P.R. Woodward: SIAM J.Sci.Comput. 18, 982 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  31. S. F. Davis: ICASE Report No. 84-20 (1984)

    Google Scholar 

  32. G.C. Duncan, P.A. Hughes: Astrophys. J. Lett. 436, L119 (1994)

    Article  ADS  Google Scholar 

  33. G.C. Duncan, P.A. Hughes, J. Opperman. In Energy Transport in Radio Galaxies and Quasars, eds. P.E. Hardee, A.H. Bridle and J.A. Zensus, ASP Conference Series (1996), 100, p.143–148

    Google Scholar 

  34. R. Donat, J.M. Font, J.Maª. Ibáñez, A. Marquina: J. Comp. Phys. 146, 58 (1998)

    Article  MATH  ADS  Google Scholar 

  35. R. Donat, A. Marquina: J. Comp. Phys. 125, 42 (1996)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  36. B. Einfeldt: SIAM J. Numer. Anal. 25, 294 (1988)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  37. F. Eulderink, G. Mellema: Astron. Astrophys. 284, 654 (1994)

    ADS  Google Scholar 

  38. F. Eulderink, G. Mellema: Astron. Astrophys. Suppl. 110, 587 (1995)

    ADS  Google Scholar 

  39. C.R. Evans. In Dynamical Space-Times and Numerical Relativity, ed. J. Centrella, (Cambridge University Press, Cambridge, 1986) p. 3

    Google Scholar 

  40. S.A.E.G. Falle, S.S. Komissarov: Mon. Not. Roy. Astronom. Soc. 278, 586 (1996)

    ADS  Google Scholar 

  41. B.L. Farano., J.M. Riley: Mon. Not. Roy. Astronom. Soc. 167, 31 (1974)

    ADS  Google Scholar 

  42. J.A. Font, J.Maª. Ibáñez, J.Maª. Martí, A. Marquina: Astron. Astrophys. 282, 304 (1994)

    ADS  Google Scholar 

  43. J.A. Font, M. Miller, W.-M. Suen, M. Tobias: Phys. Rev. D 61, 044011 (1999)

    MathSciNet  Google Scholar 

  44. J. A. Font, Living Reviews in Relativity (2000), under the URL: http://www.livingreviews.org/Articles/Volume3/2000-2font

  45. T.J. Galama, P.M. Vreeswijk, E. Pian, F. Frontera, V. Doublier, J.-F. Gonzalez: IAU Circ., 6985 (1998)

    Google Scholar 

  46. T.J. Galama, P.M. Vreeswijk, et al.: Nature 395, 670 (1998)

    Article  ADS  Google Scholar 

  47. T. J. Gallama, (2000), this volume.

    Google Scholar 

  48. G. Ghisellini, P. Padovani, A. Celotti, L. Maraschi: Astrophys. J. 407, 65 (1993)

    Article  ADS  Google Scholar 

  49. J. Glimm: Comm. Pure Appl. Math. 18, 697 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  50. S. K. Godunov: Mat. Sb., 47, 271 (1959)

    MathSciNet  Google Scholar 

  51. J. Goodman: Astrophys. J. Lett. 308, L47 (1986)

    Article  ADS  Google Scholar 

  52. J. L. Gómez, A. Alberdi, J.M. Marcaide: Astron. Astrophys. 274, 55 (1993)

    ADS  Google Scholar 

  53. J. L. Gómez, A. Alberdi, J.M. Marcaide: Astron. Astrophys. 284, 51 (1994)

    ADS  Google Scholar 

  54. J. L. Gómez, J.Maª. Martí, A.P. Marscher, J.Maª. Ibáñez, J.M. Marcaide: Astrophys. J. Lett. 449, L19 (1995)

    Article  ADS  Google Scholar 

  55. J. L. Gómez, J.Maª. Martí, A.P. Marscher, J.Maª. Ibáñez, A. Alberdi: Astrophys. J. Lett. 482, L33 (1997)

    Article  ADS  Google Scholar 

  56. J. L. Gómez, A.P. Marscher, A. Alberdi, D.C. Gabuzda: Astrophys. J. 519, 642 (1999)

    Article  ADS  Google Scholar 

  57. J. L. Gómez, (2000), this volume.

    Google Scholar 

  58. J. Granot, M. Miller, T. Piran, W.-M. Suen. In Gamma-Ray Bursts. Eds. R. M. Kippen, R.S. Mallozzi and G.J. Fishman, (AIP conference proceedings 2000), 526, 540.

    Google Scholar 

  59. A. Harten: Comp. Pure Appl. Math. 48, 12 (1995)

    Google Scholar 

  60. A. Harten: SIAM J. Numer. Anal. 21, 1 (1984)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  61. A. Harten, B. Engquist, S. Osher, S. Chakravarthy: J. Comp. Phys. 71, 231 (1987)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  62. J.F. Hawley, L.L. Smarr, J.R. Wilson: Astrophys. J. Suppl. 55, 211 (1984)

    Article  ADS  Google Scholar 

  63. J.R.A. Hooimeyer, P.D. Barthel, R.T. Schilizzi, G.K. Miley: Astron. Astrophys. 261, 25 (1992)

    ADS  Google Scholar 

  64. C. A. Hummel, et al.: Astron. Astrophys. 257, 489 (1992)

    ADS  Google Scholar 

  65. T.J. Iwamoto, P.A. Mazzali, et al.: Nature 395, 672 (1998)

    Article  ADS  Google Scholar 

  66. T.W. Jones. In Supermassive black holes, (Cambridge University Press, Cambridge 1988), p. 59

    Google Scholar 

  67. T.W. Jones, S.L. O’Dell: Astrophys. J. 214, 522 (1977)

    Article  ADS  Google Scholar 

  68. W. Junor, J.A. Bireta: Astronom. J. 109, 500 (1995)

    Article  ADS  Google Scholar 

  69. A. Kheyfets, W.A. Miller, W.H. Zurek: Phys. Rev. D 41, 451 (1990)

    Article  ADS  Google Scholar 

  70. R.W. Klebesadal, I.B. Strong, R.A. Olsen: Astrophys. J. Lett. 182, L85 (1973)

    Article  ADS  Google Scholar 

  71. A. Königl: Astrophys. J. 243, 700 (1981)

    Article  ADS  Google Scholar 

  72. S. Koide: Astrophys. J. 487, 66 (1997)

    Article  ADS  Google Scholar 

  73. S. Koide, K.-I. Nishikawa, R.L. Muttel: Astrophys. J. Lett. 463, L71 (1996)

    Article  ADS  Google Scholar 

  74. S. Koide, K. Shibata, T. Kudoh: Astrophys. J. Lett. 495, L63 (1998)

    Article  ADS  Google Scholar 

  75. S. Koide, K. Shibata, T. Kudoh: Astrophys. J. 522, 727 (1999)

    Article  ADS  Google Scholar 

  76. S. Koide, D.L. Meier, K. Shibata, T. Kudoh: Astrophys. J. 536, 668 (2000)

    Article  ADS  Google Scholar 

  77. S. S. Komissarov: Sov. Astron. Lett. 16(4), 284 (1990)

    ADS  Google Scholar 

  78. S.S. Komissarov, S.A.E.G. Falle: Mon. Not. Roy. Astronom. Soc. 288, 833 (1997)

    ADS  Google Scholar 

  79. S.S. Komissarov, S.A.E.G. Falle: Mon. Not. Roy. Astronom. Soc. 297, 1087 (1998)

    Article  ADS  Google Scholar 

  80. A.K. Kembhavi, J.V. Narlikar. Quasars and Active Galactic Nuclei. An introduction (Cambridge University Press, Cambridge 1999)

    Google Scholar 

  81. S.R. Kulkarni, D.A. Frail, et al.: Nature 395, 663 (1998)

    Article  ADS  Google Scholar 

  82. P. Laguna, W.A. Miller, W.H. Zurek: Astrophys. J. 404, 678 (1993)

    Article  ADS  Google Scholar 

  83. N.K. Lahy, N.K. A Particle Method for Relativistic Fluid Dynamics, M.Sc. Thesis, Monash University (1989)

    Google Scholar 

  84. R.A. Laing. In Radio Galaxies and Quasars, eds. P.E. Hardee, A.H. Bridle, J.A. Zensus. ASP Conference Series, Vol.100 (1996) p. 241

    Google Scholar 

  85. W. Landry, S.A. Teukolsky: submitted (1999). See also: gr-qc/9912004

    Google Scholar 

  86. R. J. LeVeque. Numerical Methods for Conservation Laws, 2nd.edn. (Birkhäuser, Basel 1992)

    MATH  Google Scholar 

  87. A.P. Lovanov, T.P. Krichbaum, et al.: Astron. Astrophys. 340, L60 (1998)

    ADS  Google Scholar 

  88. L.B. Lucy: Astronom. J. 82, 1013 (1977)

    Article  ADS  Google Scholar 

  89. A. MacFadyen, S.E. Woosley: Astrophys. J. 524, 262 (1999)

    Article  ADS  Google Scholar 

  90. P.J. Mann: Comput. Phys. Commun. 67, 245 (1991)

    Article  MATH  ADS  Google Scholar 

  91. P.J. Mann: Comput. Phys. Commun. 107, 188 (1993)

    MATH  Google Scholar 

  92. A. Marquina: SIAM J. Sci. Comput. 15, 892 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  93. A.P. Marscher: Astrophys. J. 235, 386 (1980)

    Article  ADS  Google Scholar 

  94. A.P. Marscher, W.K. Gear: Astrophys. J. 298, 114 (1985)

    Article  ADS  Google Scholar 

  95. A.P. Marscher, W.K. Gear, J.P. Travis. In Variability of Blazars, ed. by E. Vataoja and M. Valtonen (Cambridge University Press, Cambridge 1992)

    Google Scholar 

  96. J. Maª. Martí, J.Maª. Ibáñez, J.A. Miralles: Phis. Review D 43, 3794 (1991)

    ADS  Google Scholar 

  97. J. Maª. Martí, E. Müller: J. Fluid Mech. 258, 317 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  98. J. Maª. Martí, E. Müller, J.Maª. Ibáñez: Astron. Astrophys. 281, L9 (1994)

    ADS  Google Scholar 

  99. Martí, J. Maª, E. Müller, J.A. Font, J.Maª. Ibáñez: Astrophys. J. 448, L105 (1995)

    Article  ADS  Google Scholar 

  100. Martí, J. Maª, Müller, E., J.A. Font, J.Maª. Ibáñez, A. Marquina: Astrophys. J. 479, 151 (1997)

    Article  ADS  Google Scholar 

  101. J. Maª, Martí, E. Müller: Living reviews in Relativity (1999), under the URL: http://www.livingreviews.org/Articles/Volume2/1999-3marti

  102. M.M. May, R.H. White: Methods Comput. Phys. 7, 219 (1967)

    Google Scholar 

  103. C.A. Meegan, G.J. Fishman, et al.: Nature 355, 143 (1992)

    Article  ADS  Google Scholar 

  104. P. Mèszáros. In Proc. of the 17th Texas Symp. on Relativistic Astrophysics and Cosmology, eds. H. Böhringer, G.E. Morfill and J.E. Trümper, (N.Y.Acad. Sci., 1995) p. 440

    Google Scholar 

  105. A.J. Mioduszewski, P.A. Hughes, G.C. Duncan: Astrophys. J. 476, 649 (1997)

    Article  ADS  Google Scholar 

  106. I.F. Mirabel, L.F. Rodriguez: Nature 371, 46 (1994)

    Article  ADS  Google Scholar 

  107. R. Mochkovitch, M. Hernanz, J. Isern, X. Martin: Nature 361, 236 (1993)

    Article  ADS  Google Scholar 

  108. J.J. Monaghan: Comput. Phys. Rep. 3, 71 (1985)

    Article  ADS  Google Scholar 

  109. J.J. Monaghan: J. Comp. Phys. 136, 298 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  110. T. Nakamura: Prog. Theor. Phys. 65, 1876 (1981)

    Article  ADS  Google Scholar 

  111. T. Nakamura, K. Oohara, Y. Kojima: Prog. Theor. Phys. Suppl. 90, 76 (1987)

    Article  MathSciNet  Google Scholar 

  112. T. Nakamura, K. Oohara. In Numerical Astrophysics. Ed. by S.M. Miyama, K. Tomisaka and T. Hanawa (Kluwer Academic, Astrophysics and space science library 1999) 240, p. 247

    Google Scholar 

  113. T. Nakamura, K. Maeda, S. Miyama, M. Sasaki: Prog. Theor. Phys. 63, 1229 (1980)

    Article  ADS  Google Scholar 

  114. K.-I. Nishikawa, S. Koide, et al.: Astrophys. J. 483, L45 (1997)

    Article  ADS  Google Scholar 

  115. K.-I. Nishikawa, S. Koide, et al.: Astrophys.J. 498, 166 (1998)

    Article  ADS  Google Scholar 

  116. M.L. Norman, L. Smarr, K.-H.A. Winkler, M.S. Smith: Astron. Astrophys. 113, 285 (1982)

    ADS  Google Scholar 

  117. M.L. Norman, K.-H.A. Winkler. In: Astrophysical Radiation Hydrodynamics, ed. by M.L. Norman, K.-H.A. Winkler (Reidel, Dordrecht, 1986) p. 227

    Google Scholar 

  118. S. Osher, S. Chakravarthy: SIAM J. Numer. Anal. 21, 995 (1984)

    Article  MathSciNet  Google Scholar 

  119. B. Pacyński: Astrophys. J. 308, L43 (1986)

    Article  ADS  Google Scholar 

  120. B. Pacyński: Astrophys. J. 494, L45 (1998)

    Article  ADS  Google Scholar 

  121. A. Panaitescu, L. Wen, P. Laguna, P. Mészáros: Astrophys. J. 482, 942 (1999)

    Article  ADS  Google Scholar 

  122. A. Panaitescu, P. Mészáros: Astrophys. J. 492, 683 (1998)

    Article  ADS  Google Scholar 

  123. A. Panaitescu, P. Mészáros: Astrophys. J. 526, 707 (1999)

    Article  ADS  Google Scholar 

  124. L.I. Petrich, S.L. Shapiro, R.F. Stark, S.A. Teukolsky: Astrophys. J. 336, 313 (1989)

    Article  ADS  Google Scholar 

  125. E. Pian, L. Amati, et al.: Astrophys. J. 538, 638 (2000)

    Article  ADS  Google Scholar 

  126. T. Piran: J. Comp. Phys. 35, 254 (1980)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  127. T. Piran: Physics Reports 314, 575 (1999)

    Article  ADS  Google Scholar 

  128. T. Piran, A. Shemi, R. Narayan: Mon. Not. Roy. Astronom. Soc. 263, 861 (1993)

    ADS  Google Scholar 

  129. J.A. Pons, J. Maª Martí, E. Müller: J. Comp. Phys. 422, 125 (2000)

    MATH  Google Scholar 

  130. R. Popham, S.E. Woosley, C. Fryer: Astrophys. J. 518, 356 (1999)

    Article  ADS  Google Scholar 

  131. P.L. Roe: J. Comp. Phys. 43, 357 (1981)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  132. R.D. Richtmyer, K.W. Morton: Difference Methods for Initial-value Problems, (Wiley-Interscience, New York 1967)

    MATH  Google Scholar 

  133. Rosen, A., Hughes, et al.: Astrophys. J. 516, 729 (1999)

    Article  ADS  Google Scholar 

  134. C. Sauty (2000), this volume.

    Google Scholar 

  135. R.H. Sanders, K.H. Prendergast: Astrophys. J. 188, 489 (1974)

    Article  ADS  Google Scholar 

  136. R. Sari, T. Piran, J.P. Halpern: Astrophys. J. Lett. 519, L17 (1999)

    Article  ADS  Google Scholar 

  137. P.A.G. Scheuer: Mon. Not. Roy. Astronom. Soc. 166, 513 (1974)

    ADS  Google Scholar 

  138. V. Schneider, U. Katscher, et al.: J. Comp. Phys. 105, 92 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  139. M. Shibata, T. Nakamura: Phis. Review D 52, 5428 (1995)

    ADS  MathSciNet  Google Scholar 

  140. M. Shibata: Prog. Theor. Phys. 101, 251 (1999)

    Article  ADS  Google Scholar 

  141. M. Shibata: Prog. Theor. Phys. 101, 1199 (1999)

    Article  ADS  Google Scholar 

  142. M. Shibata: Phis.Review D 60, 104052 (1999)

    ADS  MathSciNet  Google Scholar 

  143. M. Shibata, T.W. Baumgarte, S.L. Shapiro: Phis. Review D 61, 044012 (2000)

    ADS  Google Scholar 

  144. S. Siegler, H. Riffert: Astrophys. J. Suppl. 531, 1053 (2000)

    ADS  Google Scholar 

  145. C. W. Shu: Math. Comp. 49, 105 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  146. C. W. Shu, S.J. Osher: J. Comp. Phys. 83, 32 (1989)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  147. L. Smarr, J.R. Wilson, R.T. Barton, R.L. Bowers: Astrophys. J. 246, 515 (1981)

    Article  ADS  Google Scholar 

  148. P. Soffitta, M. Feroci, et al.: IAU Circ. 6884 (1998)

    Google Scholar 

  149. J. Sollfrank, P. Huovinen, M. Kataja, P.V. Ruuskanen, M. Prakash, R. Venugopalan: Phys. Rev. C 55, 392 (1997)

    Article  ADS  Google Scholar 

  150. R.F. Stark, T. Piran: Comput. Phys. Rep. 5, 221 (1987)

    Article  ADS  Google Scholar 

  151. M.R. Swain, A.H. Bridle, S.A. Baum: Astrophys. J. 507, L29 (1998)

    Article  ADS  Google Scholar 

  152. J.C. Tan, C.D. Matzner, C.F. McKee: Astrophys. J., submitted, (2000)

    Google Scholar 

  153. M. Taub: Phys. Rev. 74, 328 (1948)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  154. K.W. Thomson: J. Fluid Mech. 171, 365 (1986)

    Article  ADS  Google Scholar 

  155. S.J. Tingay, D.L. Jauncey, R.A. Preston, J.E. Reynolds, D.L. Meier et al.: Nature 374, 141 (1995)

    Article  ADS  Google Scholar 

  156. E. Toro: Riemann solvers and numerical methods for fluid dynamics: a practical introduction, 1st edn. (Springer, Berlin 1997)

    MATH  Google Scholar 

  157. B. van Leer: J. Comp. Phys. 32, 101 (1979)

    Article  ADS  Google Scholar 

  158. M.H.P.M. van Putten: J. Comp. Phys. 105, 339 (1993a)

    Article  MATH  ADS  Google Scholar 

  159. M.H.P.M. van Putten: Astrophys. J. Lett. 408, L21 (1993b)

    Article  ADS  Google Scholar 

  160. M.H.P.M. van Putten: Astrophys. J. Lett. 467, L57 (1996)

    Article  ADS  Google Scholar 

  161. J. von Neumann, R.D. Ric htmyer: J. Appl. Phys. 21, 232 (1950)

    Article  MATH  MathSciNet  Google Scholar 

  162. L. Wen, A. Panaitescu, P. Laguna: Astrophys. J. 486, 919 (1997)

    Article  ADS  Google Scholar 

  163. J.R. Wilson: Astrophys. J. 173, 431 (1972)

    Article  ADS  Google Scholar 

  164. J.R. Wilson. In: Sources of Gravitational Radiation, ed. by L.L. Smarr, (Cambridge University Press, Cambridge 1979) p. 423

    Google Scholar 

  165. S.E. Woosley: Astrophys. J. 405, 273 (1993)

    Article  ADS  Google Scholar 

  166. Yang, J.Y., Chen, M.H., Tsai, I-N. and J.W. Chang: J. Comp. Phys. 136, 19 (1997)

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str.1, 85748, Garching, Germany

    Miguel A. Aloy

  2. Departamento de Astronomía y Astrofísica, Universidad de Valencia, C/ Doctor Moliner 50, 46100, Burjassot, Spain

    José M. Martí

Authors
  1. Miguel A. Aloy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. José M. Martí
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Max-Planck-Institut für Kernphysik, 69117, Heidelberg, Germany

    Axel W. Guthmann , Markos Georganopoulos  & Konstantina Manolakou ,  & 

  2. CESR, 9,Avenue du Colonel Roche, 31028, Toulouse Cedex 4, France

    Alexandre Marcowith

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Aloy, M.A., Martí, J.M. (2002). 3D Relativistic Hydrodynamics. In: Guthmann, A.W., Georganopoulos, M., Manolakou, K., Marcowith, A. (eds) Relativistic Flows in Astrophysics. Lecture Notes in Physics, vol 589. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46025-X_9

Download citation

  • DOI: https://doi.org/10.1007/3-540-46025-X_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43518-1

  • Online ISBN: 978-3-540-46025-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation