A Shock‐patching Code for Ultrarelativistic Fluid Flows | Zendy

L. Wen | Zendy; A. Panaitescu | Zendy; Pablo Laguna | Zendy

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A Shock‐patching Code for Ultrarelativistic Fluid Flows

Author(s) -

L. Wen,

A. Panaitescu,

Pablo Laguna

Publication year - 1997

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/304547

Subject(s) - riemann problem , physics , classification of discontinuities , riemann solver , convergence (economics) , shock (circulatory) , riemann hypothesis , code (set theory) , planar , flow (mathematics) , shock wave , finite volume method , mathematical analysis , mechanics , mathematics , computer science , medicine , economics , economic growth , computer graphics (images) , set (abstract data type) , programming language

We have developed a one-dimensional code to solve ultra-relativistichydrodynamic problems, using the Glimm method for an accurate treatment ofshocks and contact discontinuities. The implementation of the Glimm method isbased on an exact Riemann solver and van der Corput sampling sequence. In orderto improve computational efficiency, the Glimm method is replaced by a finitedifferencing scheme in those regions where the fluid flow is sufficientlysmooth. The accuracy and convergence of this hybrid method is investigated intests involving planar, cylindrically and spherically symmetric flows thatexhibit strong shocks and Lorentz factors of up to ~2000. This hybrid code hasproven to be successful in simulating the interaction between a thin,ultra-relativistic, spherical shell and a low density stationary medium, asituation likely to appear in Gamma-Ray Bursts, supernovae explosions, pulsarwinds and AGNs.Comment: submitted to ApJ, in press, Latex, uses AAS macro aaspp4.sty and psfig.tex (version 1.9), 12 pages, 5 figures and 4 tables, revised version (more detailed description of the numerical implementation of the Glimm method

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