6533b831fe1ef96bd1298642

RESEARCH PRODUCT

Computing Strong Shocks in Ultrarelativistic Flows: A Robust Alternative

Rosa DonatAntonio Marquina

subject

Physics::Fluid DynamicsPhysicssymbols.namesakeShock capturing methodJacobian matrix and determinantsymbolsStatistical physicsRelativistic fluidMatrix decomposition

description

In recent years, shock capturing methods have started to be used in numerical simulations in Relativistic Fluid Dynamics (RFD). These techniques lead to explicit numerical codes that are able to successfully simulate the extreme conditions of the ultrarelativistic regime. After [2], an explicit, ready-to-use description of the full spectral decomposition of the Jacobian matrices of the RFD system is available, and this allows us to implement Marquina’s scheme [3] in RFD. The scheme is seen to maintain the good behavior shown in [3] with respect to certain numerical pathologies.

yearjournalcountryeditionlanguage
1999-01-01
https://doi.org/10.1007/978-3-0348-8720-5_27