An Operator-Splitting Approach to the Godunov Method for Numerically Solving the Special Relativistic Hydrodynamics Equations in Symmetric Hyperbolic Form

• Published in: Lobachevskii journal of mathematics Vol. 46; no. 1; pp. 112 - 120
• Main Author: Kulikov, I. M.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.01.2025; Springer Nature B.V
• Subjects: Active galactic nuclei; Algebra; Analysis; Cauchy problems; Exact solutions; Geometry; Godunov method; Hydrodynamic equations; Hydrodynamics; Hyperbolic systems; Linear algebra; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Molecular clouds; Numerical methods; Probability Theory and Stochastic Processes; Problem solving; Relativistic effects; Software; Splitting; computational astrophysics; Godunov method; 2010 Mathematics Subject Classification: 65M08; relativistic hydrodynamics
• ISSN: 1995-0802; 1818-9962
• DOI: 10.1134/S1995080224608294

This paper considers a construction of the Godunov method to numerically solve the equations of special relativistic hydrodynamics. In this method, the equations are presented as a symmetric hyperbolic system decoupled into equations that describe the work of pressure forces and the advective relati...