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AnAdaptive Moving Mesh Method for Two-Dimensional relativistic hydrodynamics

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Communications in Computational Physics 2012年第1期11卷 114-146页

作者： Peng He Huazhong Tang HEDPS CAPT&LMAMSchool of Mathematical SciencesPeking UniversityBeijing 100871China

This paper extends the adaptive moving mesh method developed by Tang and Tang[36]to two-dimensional(2D)relativistic hydrodynamic(RHD)*** algorithm consists of two“independent”parts:the time evolution of the RHD equations and the(static)mesh iteration *** the first part,the RHD equations are discretized by using a high resolution finite volume scheme on the fixed but nonuniform meshes without the full characteristic decomposition of the governing *** second part is an iterative *** each iteration,the mesh points are first redistributed,and then the cell averages of the conservative variables are remapped onto the new mesh in a conservative *** numerical examples are given to demonstrate the accuracy and effectiveness of the proposed method.

关键词： Adaptive moving mesh method finite volume method conservative interpolation relativistic hydrodynamics

Longitudinal dynamics from hydrodynamics with an order parameter

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Chinese Physics C 2021年第4期45卷 265-272页

作者： Shu Lin Gezheng Zhou School of Physics and Astronomy Sun Yat-Sen UniversityZhuhai 519082China

We studied coupled dynamics of hydrodynamic fields and order parameter in the presence of nontrivial longitudinal flow using the chiral fluid dynamics *** found that longitudinal expansion provides an effective relaxation for the order parameter,which equilibrates in an oscillatory *** oscillations are also visible in hydrodynamic degrees of freedom through coupled *** oscillations are reduced when dissipation is *** also found that the quark density,which initially peaked at the boundary of the boost invariant region,evolves toward forward rapidity with the peak velocity correlated with the velocity of longitudinal *** peak broadens during this *** corresponding chemical potential rises due to simultaneous decrease of density and *** compared the cases with and without dissipation for the order parameter and also the standard hydrodynamics without order *** found that the corresponding effects on temperature and chemical potential can be understood from the conservation laws and different speeds of equilibration of the order parameter in the three cases.

关键词： relativistic hydrodynamics linear sigma model chiral phase transition heavy ion collisions equilibration

Effects of bulk viscosity on hadron spectra and the Hanbury-Brown Twiss radius by causal viscous hydrodynamics

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Chinese Physics B 2009年第11期18卷 4786-4790页

作者：李建伟马余刚马国亮 Shanghai Institute of Applied Physics Chinese Academy of Sciences Graduate School of the Chinese Academy of Sciences

The particle spectra and Hanbury-Brown Twiss （HBT） radius of Au＋Au collisions at RHIC energy are investigated by a hydrodynamical expanding source with both shear and bulk viscosities （ζ）. With a large width of the ratio of ζ to entropy density s, both the particle transverse momentum spectra and the ratio Rout/Raide Of HBT radii in the direction of the total transverse momentum of detected two particles （Rout） and perpendicular to both this direction and the beam direction （Rside） become a little steeper.

关键词： relativistic hydrodynamics bulk viscosity hadron spectra HBT radius

The Glauber model correction towards equilibrium

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Science China(Physics,Mechanics & Astronomy) 2012年第11期55卷 2049-2056页

作者： ZHAO AMeng ZONG HongShi SUN WeiMin Department of Physics Nanjing UniversityNanjing 210093China Joint Center for Particle Nuclear Physics'and CosmologyNanjing 210093China

We introduce a pre-hydrodynamic correction to the commonly used Glauber model to bring the random scattering information to the initial condition of the hydrodynamic description for the heavy ion *** results of this correction obviously shrink the value of the elliptic flow in the medium momentum region and move the corresponding momentum of the maximum v 2 forwards to smaller p T *** fit the experimental data quite *** correction implies that the quark-gluon plasma(QGP) has reached the thermal equilibrium when the hydrodynamic expansion *** a conclusion of quick-equilibrium confirms the conclusion that QGP is a strongly interacting system.

关键词： equilibrium relativistic hydrodynamics QGP Glauber model

Bjorken Flow Revisited:Analytic and Numerical Solutions in Flat Space-Time Coordinates

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Communications in Computational Physics 2023年第1期33卷 174-188页

作者： Daniele Simeoni Alessandro Gabbana Sauro Succi Universit`a di Ferrara and INFN-Ferrara I-44122 FerraraItaly Bergische UniversitatWuppertal D-42119WuppertalGermany University of Cyprus Physics departmentCY-1678 NicosiaCyprus Eindhoven University of Technology 5600MB EindhovenThe Netherlands Center for Life Nano Science@La Sapienza Italian Institute of TechnologyViale Regina Elena 295I-00161 RomaItaly Istituto Applicazioni del Calcolo National Research Council of ItalyVia dei Taurini 19I-00185 RomaItaly

In this work we provide analytic and numerical solutions for the Bjorken flow,a standard benchmark in relativistic hydrodynamics providing a simple model for the bulk evolution of matter created in collisions between heavy *** consider relativistic gases of both massive and massless particles,working in a(2+1)and(3+1)Minkowski space-time coordinate *** numerical results from a recently developed lattice kinetic scheme show excellent agreement with the analytic solutions.

关键词： relativistic hydrodynamics heavy-ion collisions Bjorken flow lattice kinetic solvers

Hydrodynamic description of D meson production in high-energy heavy-ion collisions

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Chinese Physics C 2021年第7期45卷 205-213页

作者： Chi Ding Wei-Yao Ke Long-Gang Pang Xin-Nian Wang Key Laboratory of Quark&Lepton Physics(MOE)and Institute of Particle Physics Central China Normal UniversityWuhan 430079China Physics Department University of CaliforniaBerkeleyCA 94720USA Nuclear Science Division Lawrence Berkeley National LaboratoryBerkeleyCA 94720USA

The large values and constituent-quark-number scaling of the elliptic flow of low-pT D mesons imply that charm quarks,initially produced through hard processes,might be partially thermalized through strong interactions with quark-gluon plasma(QGP)in high-energy heavy-ion *** quantify the degree of thermalization of low-pT charm quarks,we compare the D^(0)meson spectra and elliptic flow from a hydrodynamic model to experimental data as well as transport model *** use an effective charm chemical potential at the freeze-out temperature to account for the initial charm quark production from hard processes and assume that they are thermalized in the local comoving frame of the medium before freeze-out.D^(0)mesons are sampled statistically from the freeze-out hyper-surface of the expanding QGP as described by the event-by-event(3+1)D viscous hydrodynamic model *** the hydrodynamic and transport models can describe the elliptic flow of D^(0)mesons at pT~3 GeV/c as measured in Au+Au collisions at√SNN=200 *** the experimental data on D^(0)spectra are consistent with the hydrodynamic result at small pT~1 GeV/c,they deviate from the hydrodynamic model at high transverse momentum,pT~2 GeV/*** diffusion and parton energy loss mechanisms in the transport model can describe the measured spectra reasonably well within the theoretical *** comparative study indicates that charm quarks only approach local thermal equilibrium at small pT,even though they acquire sizable elliptic flow comparable to light-quark hadrons at both small and intermediate pT.

关键词： D meson relativistic hydrodynamics heavy ion collisions heavy flavor thermalization

Signals of α clusters in ^(16)O+^(16)O collisions at the LHC from relativistic hydrodynamic simulations

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Chinese Physics C 2023年第2期47卷 149-156页

作者：丁驰庞龙刚张松马余刚 Key Laboratory of Quark&Lepton Physics(MOE)and Institute of Particle Physics Central China Normal UniversityWuhan 430079China Key Laboratory of Nuclear Physics and Ion-beam Application(MOE) Institute of Modern PhysicsFudan UniversityShanghai 200433China Shanghai Research Center for Theoretical Nuclear Physics NSFC and Fudan University Shanghai 200438China

In relativistic heavy ion collisions,the fluctuations of initial entropy density convert to the correlations of final state hadrons in momentum space through the collective expansion of strongly interacting QCD *** a(3+1)D viscous hydrodynamic program,CL Visc,we consider whether the nuclear structure,which provides initial state fluctuations as well as correlations,can affect the final state of heavy ion collisions,and whether one can find signals of α cluster structures in oxygen using final state observables in ^(16)O+ ^(16)O collisions at the CERN Large Hadron *** the initial nucleon distributions in oxygen nuclei,we compare three different configurations,a tetrahedral structure with four-α clusters,the deformed Woods-Saxon distribution,and a spherical symmetric Woods-Saxon *** results show that the charged multiplicity as a function of centrality and the elliptic flow at the most central collisions using the four-α structure differs from those with the Woods-Saxon and deformed Woods-Saxon distributions,which may help to identify α clustering structures in oxygen nuclei.

关键词： alpha cluster heavy ion collisions nuclear structure of oxygen relativistic hydrodynamics