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To study the bulk properties of the quark-gluon-plasma (QGP) produced at thebeam energy scan (BES) energies at the Relativistic Heavy Ion Collider (RHIC),we extend the (3+1)-dimensional viscous hydrodynamics CLVisc to include netbaryon number conservation and Israel-Stewart-like equation for baryondiffusion with the NEOS-BQS equation of state, fluctuating initial conditionsfrom Monte-Carlo Glauber model, and the afterburner SMASH. This integratedframework is shown to provide a good description of identified particlespectra, mean transverse momenta and anisotropic flows for differentcentralities and over a wide range of collision energies (7.7-62.4 GeV). It isfound that the mean momenta of identified particles and anisotropic flowsincreases mildly with the collision energy due to larger radial flow. Wefurther compute the multiple-particle cumulant ratio $v_2\{4\}/v_2\{2\}$ ofelliptic flow across BES energies, and find that the relative fluctuations ofelliptic flow are insensitive to the collision energy, consistent with thepreliminary STAR data. Our model provides a benchmark for understanding theRHIC-BES data and studying the critical properties and phase structure of hotand dense QCD matter.

physical review. c

(3+1)-D viscous hydrodynamics CLVisc at finite net baryon density:  identified particle spectra, anisotropic flows and flow fluctuations across  BES energies