A Derivation of the Entropy-Based Relativistic Smoothed Particle Hydrodynamics by Variational Principle  

作　　者：Philipe Mota Wei-Xian Chen Wei-Liang Qian Philipe Mota;陈渭贤;钱卫良(Centro Brasileiro de Pesquisas Fisicas;Instituto de Física e Qú?mica, Universidade Estadual Paulista Júlio de Mesquita Filho;Escola de Engenharia de Lorena,Universidade de So Paulo)

机构地区：[1]Centro Brasileiro de Pesquisas Fisicas, R J, Brazil [2]Escola de Engenharia de Lorena, Universidade de Sgo Paulo, SP, Brazil [3]Instituto de Ffsica e Qufmica, Universidade Estadual Paulista Jdlio de Mesquita Filho, SP, Brazil

出　　处：《Communications in Theoretical Physics》2017年第9期382-386,共5页理论物理通讯（英文版）

基　　金：financial support from Funda o de Amparo à Pesquisa do Estado de So Paulo (FAPESP);Funda o de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG);Fundao de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ);Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq);Coordena o de Aperfei oamento de Pessoal de Nível Superior (CAPES)

摘　　要：In this work, a second order smoothed particle hydrodynamics is derived for the study of relativistic heavy ion collisions. The hydrodynamical equation of motion is formulated in terms of the variational principle. In order to describe the fluid of high energy density but of low baryon density, the entropy is taken as the base quantity for the interpolation. The smoothed particle hydrodynamics algorithm employed in this study is of the second order, which guarantees better particle consistency. Furthermore, it is shown that the variational principle preserves the translational invariance of the system, and therefore improves the accuracy of the method. A brief discussion on the potential implications of the model in heavy ion physics as well as in general relativity are also presented.

关 键 词：HYDRODYNAMICS SPH method variational principle 

分 类 号：O35[理学—流体力学] O571.6[理学—力学]