AN ITERATIVE RIEMANN SOLVER FOR RELATIVISTIC HYDRODYNAMICS.
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| Title: | AN ITERATIVE RIEMANN SOLVER FOR RELATIVISTIC HYDRODYNAMICS. |
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| Authors: | Wenlong Dai1 wenlong@lcse.umn.edu, Woodward, Paul R.2 paul@lcse.umn.edu |
| Source: | SIAM Journal on Scientific Computing. 1997, Vol. 18 Issue 4, p982-995. 14p. |
| Subjects: | Riemann-Hilbert problems, Riemann-Roch theorems, Hydrodynamics, Mathematics, Water waves, Stochastic convergence |
| Abstract: | An approximate method for solving the Riemann problem is needed to construct Godunov schemes for relativistic hydrodynamical equations. Such an approximate Riemann solver is presented in this paper which treats all waves emanating from an initial discontinuity as themselves discontinuous. Therefore, jump conditions for shocks are approximately used for rarefaction waves. The solver is easy to implement in a Godunov scheme and converges rapidly for relativistic hydrodynamics. The fast convergence of the solver indicates the potential of a higher performance of a Godunov scheme in which the solver is used. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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