A new shock-capturing numerical scheme for ideal hydrodynamics

Hot Quarks 2014: Workshop for young scientists on the physics of ultrarelativistic nucleus-nucleus collisions

Fecková, Z.^1,2 ; Tomáik, B.^2,3

University of Pavol Jozef Šafárik, Šrobárova 2, Koice

04001, Slovakia^1

Matej Bel University, Tajovského 40, Banská Bystrica

97401, Slovakia^2

FNSPE, Czech Technical University in Prague, Behová 7, Prague 1

11519, Czech Republic^3

关键词: Algorithm for solving;    Discretizations;    Equation of state;    Numerical scheme;    Numerical viscosity;    Relativistic hydrodynamics;    Riemann problem;    Shock-tube problem;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/612/1/012051/pdf
DOI  :  10.1088/1742-6596/612/1/012051

来源: IOP

【 摘 要 】

We present a new algorithm for solving ideal relativistic hydrodynamics based on Godunov method with an exact solution of Riemann problem for an arbitrary equation of state. Standard numerical tests are executed, such as the sound wave propagation and the shock tube problem. Low numerical viscosity and high precision are attained with proper discretization.