Capturing Composite Waves in Non-convex Special Relativistic Hydrodynamics
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 c...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:306642 |
| Acceso en línea: | https://ddd.uab.cat/record/306642 https://dx.doi.org/urn:doi:10.1007/s10915-019-01074-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Special relativistic hydrodynamics Non-convex equation of state Complex wave structure Composite waves Shock-capturing schemes Fixed-point iteration |
| Sumario: | 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. |
|---|