A New Multidimensional Relativistic Hydrodynamics code based on Semidiscrete Central and WENO schemes

2005/12/09 by Tanvir Rahman, Robert B. Moore, Rahman, Tanvir +1
Earth and Planetary Sciences · Engineering · #Astrophysics (astro-ph) #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Meteorological Phenomena and Simulations

paper · pdf · doi:10.48550/arxiv.astro-ph/0512246

openalex publication_date 2005/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have proposed a new High Resolution Shock Capturing (HRSC) scheme for Special Relativistic Hydrodynamics (SRHD) based on the semidiscrete central Godunov-type schemes and a modified Weighted Essentially Non-oscillatory (WENO) data reconstruction algorithm. This is the first application of the semidiscrete central schemes with high order WENO data reconstruction to the SRHD equations. This method does not use a Riemann solver for flux computations and a number of one and two dimensional benchmark tests show that the algorithm is robust and comparable in accuracy to other SRHD codes.

Citations

• A New Multidimensional Hydrodynamics code based on Semidiscrete Central and WENO schemes

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