Name
Abstract | ||
|---|---|---|
We deal with the numerical approximation of the complex structure in special relativistic hydrodynamics (SRHD) when the system is closed with a non-convex equation of state (EOS). We consider a recently introduced phenomenological EOS (Ibáñez et al. in MNRAS 476:1100, 2018) that mimics the loss of classical behavior when the fluid enters into a non-convex—thermodynamically—region in the relativistic regime. We introduce a flux formulation to approximate the solution of Riemann problems in SRHD such that the non-classical dynamics is detected and well resolved. We also design a strategy to recover primitive variables based on iterative procedures and present a detailed analysis providing a sufficient condition to ensure convergence. We propose a set of Riemann problems in one and two dimensions including blast waves, colliding slabs and expanding slabs, illustrating the strong complex dynamics arising in non-convex SRHD. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10915-019-01074-2 | Journal of Scientific Computing |
Keywords | Field | DocType |
Special relativistic hydrodynamics, Non-convex equation of state, Complex wave structure, Composite waves, Shock-capturing schemes, Fixed-point iteration | Blast wave,Convergence (routing),Equation of state,Complex dynamics,Mathematical analysis,Fixed-point iteration,Regular polygon,Flux,Riemann hypothesis,Mathematics | Journal |
Volume | Issue | ISSN |
81 | 3 | 0885-7474 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonio Marquina | 1 | 431 | 45.30 |
| Susana Serna | 2 | 0 | 0.34 |
| José M. Ibáñez | 3 | 0 | 0.34 |