Download or read book Describing the Dynamics of the Quark-gluon Plasma Using Relativistic Viscous Hydrodynamics written by Mohammad N. Yaseen and published by . This book was released on 2016 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: When heavy nuclei collide at ultra-relativistic energies, their nuclear matter will melt producing what is known as the Quark-Gluon Plasma (QGP); a new state of matter that has been produced at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory (BNL) and Super Proton Synchrotron (LHC) in European Organization for Nuclear Research (CERN). Scientists now think that this matter filled the entire universe during the first micro second after the Big Bang. According to the experimental data, this matter acts like a nearly perfect liquid. This study requires a quantitatively precise theoretical framework to describe the dynamical evolution of the fireball produced by the collision. The equations that control the fireball expansion cannot be solved analytically. As a result, scientists must solve these equations numerically. The main goal of this thesis is to find precise numerical solutions for these equations. This is complicated by the fact that when using fluctuating initial conditions, discontinuities may be present which cause problems for standard centered differences schemes. To fix this problem, we will use the following two numerical methods: LAX and weighted LAX.