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This paper presents a streamfunction-vorticity formulation for the Navier--Stokes and Euler equations on general surfaces. Notably, this includes non-simply connected surfaces, on which the harmonic components of the velocity field play a…

Numerical Analysis · Mathematics 2025-12-25 Tim Brüers , Christoph Lehrenfeld , Max Wardetzky

Flow signatures in experimental data from relativistic ion collisions are usually interpreted as a fingerprint of the presence of a hydrodynamic phase during the evolution of these systems. In this work, flow signatures arising from…

Nuclear Theory · Physics 2015-10-28 Paul Romatschke

A new framework for evaluating hydrodynamic models of relativistic heavy ion collisions has been developed. This framework, a Comprehesive Heavy Ion Model Evaluation and Reporting Algorithm (CHIMERA) has been implemented by augmenting UVH…

Nuclear Theory · Physics 2013-04-10 R. A. Soltz , I. Garishvili , M. Cheng , B. Abelev , A. Glenn , J. Newby , L. A. Linden Levy , S. Pratt

We investigate freeze--out in hydrodynamic models for relativistic heavy--ion collisions. In particular, instantaneous freeze--out across a hypersurface of constant temperature (``isothermal'' freeze--out) is compared with that across a…

Nuclear Theory · Physics 2009-10-30 S. Bernard , J. A. Maruhn , W. Greiner , D. H. Rischke

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

Analysis of PDEs · Mathematics 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

An effective shear viscosity in central Au+Au collisions is estimated in the range of incident energies 3.3 GeV $\le \sqrt{s_{NN}}\le$ 39 GeV. The simulations are performed within a three-fluid model employing three different equations of…

Nuclear Theory · Physics 2016-04-13 Yu. B. Ivanov , A. A. Soldatov

We present the elliptic flow ($v_{2}$) of light nuclei at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The results are measured in the STAR experiment at RHIC. The $v_{2}$ measurement for light nuclei as a function of…

Nuclear Experiment · Physics 2019-08-13 Chitrasen Jena

The sensitivity of charge, heat, or momentum transport to the sample geometry is a hallmark of viscous electron flow. Therefore, hydrodynamic electronics requires the detailed understanding of electron flow in finite geometries. The…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Egor I. Kiselev , Joerg Schmalian

I compare the first viscous hydrodynamic prediction for integrated elliptic flow in Pb-Pb collisions at the LHC with the first data released by the ALICE collaboration. These new data are found to be consistent with hydrodynamic…

Nuclear Theory · Physics 2011-04-22 Matthew Luzum

We propose a kinetic framework for single-component non-ideal isothermal flows. Starting from a kinetic model for a non-ideal fluid, we show that under conventional scaling the Navier-Stokes equations with a non-ideal equation of state are…

Fluid Dynamics · Physics 2022-12-14 S. A. Hosseini , B. Dorschner , I. V. Karlin

In this article we consider weak solutions of the three-dimensional incompressible fluid flow equations with initial data admitting a one-dimensional symmetry group. We examine both the viscous and inviscid cases. For the case of viscous…

Using ideal relativistic hydrodynamics in 2+1 dimensions, we study the collision energy dependence of radial and elliptic flow, of the emitted hadron spectra, and of the transverse momentum dependence of several hadronic particle ratios,…

Nuclear Theory · Physics 2009-07-22 Gregory Kestin , Ulrich W Heinz

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

Using the (2+1)-dimensional ultrarelativistic viscous hydrodynamics+hadron cascade, VISHNU, hybrid model, we study the $p_{\rm T}$-spectra and elliptic flow of $\Lambda$, $\Xi$, and $\Omega$ in Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV…

Nuclear Theory · Physics 2016-08-16 Xiangrong Zhu

Elliptical energy flow patterns in non-central Au(11.7AGeV) on Au reactions have been studied employing the RQMD model. The strength of these azimuthal asymmetries is calculated comparing the results in two different modes of RQMD (mean…

Nuclear Theory · Physics 2009-10-30 H. Sorge

It is shown that the recently developed hybrid code VISHNU, which couples a relativistic viscous fluid dynamical description of the quark-gluon plasma (QGP) with a microscopic Boltzmann cascade for the late hadronic rescattering stage,…

Nuclear Theory · Physics 2011-06-21 Huichao Song , Steffen A Bass , Ulrich W Heinz , Tetsufumi Hirano , Chun Shen

Causal viscous hydrodynamic fits to experimental data for pion and kaon transverse momentum spectra from central Au+Au collisions at \sqrt{s_{NN}}=200 GeV are presented. Starting the hydrodynamic evolution at 1 fm/c and using small values…

Nuclear Theory · Physics 2008-11-26 Paul Romatschke

A new formulation of (3+1)-dimensional anisotropic hydrodynamics is presented that accounts nonperturbatively for the large longitudinal-transverse pressure anisotropy and bulk viscous pressure in heavy-ion collisions. The initialization of…

Nuclear Theory · Physics 2019-02-20 Mike McNelis , Dennis Bazow , Ulrich Heinz

Elliptic flow measurements from two-, four- and six-particle correlations are used to investigate flow fluctuations in collisions of U+U at $\sqrt{s_{\rm NN}}$= 193 GeV, Cu+Au at $\sqrt{s_{\rm NN}}$= 200 GeV and Au+Au spanning the range…

Nuclear Experiment · Physics 2022-12-19 STAR Collaboration , M. S. Abdallah , J. Adam , L. Adamczyk , J. R. Adams , J. K. Adkins , G. Agakishiev , I. Aggarwal , M. M. Aggarwal , Z. Ahammed , I. Alekseev , D. M. Anderson , A. Aparin , E. C. Aschenauer , M. U. Ashraf , F. G. Atetalla , A. Attri , G. S. Averichev , V. Bairathi , W. Baker , J. G. Ball Cap , K. Barish , A. Behera , R. Bellwied , P. Bhagat , A. Bhasin , J. Bielcik , J. Bielcikova , I. G. Bordyuzhin , J. D. Brandenburg , A. V. Brandin , I. Bunzarov , J. Butterworth , X. Z. Cai , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , I. Chakaberia , P. Chaloupka , B. K. Chan , F-H. Chang , Z. Chang , N. Chankova-Bunzarova , A. Chatterjee , S. Chattopadhyay , D. Chen , J. Chen , J. H. Chen , X. Chen , Z. Chen , J. Cheng , M. Chevalier , S. Choudhury , W. Christie , X. Chu , H. J. Crawford , M. Csanád , M. Daugherity , T. G. Dedovich , I. M. Deppner , A. A. Derevschikov , A. Dhamija , L. Di Carlo , L. Didenko , P. Dixit , X. Dong , J. L. Drachenberg , E. Duckworth , J. C. Dunlop , N. Elsey , J. Engelage , G. Eppley , S. Esumi , O. Evdokimov , A. Ewigleben , O. Eyser , R. Fatemi , F. M. Fawzi , S. Fazio , P. Federic , J. Fedorisin , C. J. Feng , Y. Feng , P. Filip , E. Finch , Y. Fisyak , A. Francisco , C. Fu , L. Fulek , C. A. Gagliardi , T. Galatyuk , F. Geurts , N. Ghimire , A. Gibson , K. Gopal , X. Gou , D. Grosnick , A. Gupta , W. Guryn , A. I. Hamad , A. Hamed , Y. Han , S. Harabasz , M. D. Harasty , J. W. Harris , H. Harrison , S. He , W. He , X. H. He , Y. He , S. Heppelmann , S. Heppelmann , N. Herrmann , E. Hoffman , L. Holub , Y. Hu , H. Huang , H. Z. Huang , S. L. Huang , T. Huang , X. Huang , Y. Huang , T. J. Humanic , G. Igo , D. Isenhower , W. W. Jacobs , C. Jena , A. Jentsch , Y. Ji , J. Jia , K. Jiang , X. Ju , E. G. Judd , S. Kabana , M. L. Kabir , S. Kagamaster , D. Kalinkin , K. Kang , D. Kapukchyan , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , M. Kelsey , Y. V. Khyzhniak , D. P. Kikoła , C. Kim , B. Kimelman , D. Kincses , I. Kisel , A. Kiselev , A. G. Knospe , L. Kochenda , L. K. Kosarzewski , L. Kramarik , P. Kravtsov , L. Kumar , S. Kumar , R. Kunnawalkam Elayavalli , J. H. Kwasizur , R. Lacey , S. Lan , J. M. Landgraf , J. Lauret , A. Lebedev , R. Lednicky , J. H. Lee , Y. H. Leung , C. Li , C. Li , W. Li , X. Li , Y. Li , X. Liang , Y. Liang , R. Licenik , T. Lin , Y. Lin , M. A. Lisa , F. Liu , H. Liu , H. Liu , P. Liu , T. Liu , X. Liu , Y. Liu , Z. Liu , T. Ljubicic , W. J. Llope , R. S. Longacre , E. Loyd , N. S. Lukow , X. F. Luo , L. Ma , R. Ma , Y. G. Ma , N. Magdy , D. Mallick , S. Margetis , C. Markert , H. S. Matis , J. A. Mazer , N. G. Minaev , S. Mioduszewski , B. Mohanty , M. M. Mondal , I. Mooney , D. A. Morozov , A. Mukherjee , M. Nagy , J. D. Nam , Md. Nasim , K. Nayak , D. Neff , J. M. Nelson , D. B. Nemes , M. Nie , G. Nigmatkulov , T. Niida , R. Nishitani , L. V. Nogach , T. Nonaka , A. S. Nunes , G. Odyniec , A. Ogawa , S. Oh , V. A. Okorokov , B. S. Page , R. Pak , A. Pandav , A. K. Pandey , Y. Panebratsev , P. Parfenov , B. Pawlik , D. Pawlowska , H. Pei , C. Perkins , L. Pinsky , R. L. Pintér , J. Pluta , B. R. Pokhrel , G. Ponimatkin , J. Porter , M. Posik , V. Prozorova , N. K. Pruthi , M. Przybycien , J. Putschke , H. Qiu , A. Quintero , C. Racz , S. K. Radhakrishnan , N. Raha , R. L. Ray , R. Reed , H. G. Ritter , M. Robotkova , O. V. Rogachevskiy , J. L. Romero , D. Roy , L. Ruan , J. Rusnak , N. R. Sahoo , H. Sako , S. Salur , J. Sandweiss , S. Sato , W. B. Schmidke , N. Schmitz , B. R. Schweid , F. Seck , J. Seger , M. Sergeeva , R. Seto , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , T. Shao , A. I. Sheikh , D. Shen , S. S. Shi , Y. Shi , Q. Y. Shou , E. P. Sichtermann , R. Sikora , M. Simko , J. Singh , S. Singha , M. J. Skoby , N. Smirnov , Y. Söhngen , W. Solyst , P. Sorensen , H. M. Spinka , B. Srivastava , T. D. S. Stanislaus , M. Stefaniak , D. J. Stewart , M. Strikhanov , B. Stringfellow , A. A. P. Suaide , M. Sumbera , B. Summa , X. M. Sun , X. Sun , Y. Sun , Y. Sun , B. Surrow , D. N. Svirida , Z. W. Sweger , P. Szymanski , A. H. Tang , Z. Tang , A. Taranenko , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , T. Todoroki , M. Tokarev , C. A. Tomkiel , S. Trentalange , R. E. Tribble , P. Tribedy , S. K. Tripathy , T. Truhlar , B. A. Trzeciak , O. D. Tsai , Z. Tu , T. Ullrich , D. G. Underwood , I. Upsal , G. Van Buren , J. Vanek , A. N. Vasiliev , I. Vassiliev , V. Verkest , F. Videbæk , S. Vokal , S. A. Voloshin , G. Wang , J. S. Wang , P. Wang , Y. Wang , Y. Wang , Z. Wang , J. C. Webb , P. C. Weidenkaff , L. Wen , G. D. Westfall , H. Wieman , S. W. Wissink , J. Wu , Y. Wu , B. Xi , Z. G. Xiao , G. Xie , W. Xie , H. Xu , N. Xu , Q. H. Xu , Y. Xu , Z. Xu , Z. Xu , C. Yang , Q. Yang , S. Yang , Y. Yang , Z. Ye , Z. Ye , L. Yi , K. Yip , Y. Yu , H. Zbroszczyk , W. Zha , C. Zhang , D. Zhang , J. Zhang , S. Zhang , S. Zhang , X. P. Zhang , Y. Zhang , Y. Zhang , Y. Zhang , Z. J. Zhang , Z. Zhang , Z. Zhang , J. Zhao , C. Zhou , X. Zhu , Z. Zhu , M. Zurek , M. Zyzak