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Chinese Physics Letters 2022年第5期39卷 58-62页

作者： Jian-Keng Yuan Shuai A.Chen Peng Ye School of Physics State Key Laboratory of Optoelectronic Materials and Technologiesand Guangdong Provincial Key Laboratory of Magnetoelectric Physics and DevicesSun Yat-sen UniversityGuangzhou 510275China Department of Physics The Hong Kong University of Science and TechnologyHong KongChina

Fractonic superfluids are exotic states of matter with spontaneously broken higher-rank U(1)*** broken symmetry is associated with conserved quantities,including not only particle number(i.e.,charge)but also higher moments,such as dipoles,quadrupoles,and angular *** to the presence of such conserved quantities,the mobility of particles is restricted either completely or ***,we systematically study the hydrodynamical properties of fractonic superfluids,especially focusing on the fractonic superfluids with conserved angular *** constituent bosons are called"lineons"with d components in d-dimensional *** the Euler-Lagrange equation,we derive the continuity equation and navier-Stokes-like equations,in which the angular moment conservation introduces extra ***,we discuss the current configurations related to the *** the conventional superfluid,we study the critical values of velocity fields and density currents,which gives rise to a Landau-like ***,several future directions are discussed.

关键词： navier Landau angular

Unsteady Cavitating Flow around a Hydrofoil Simulated Using the Partially-Averaged navier-Stokes Model

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Chinese Physics Letters 2012年第7期29卷 198-202页

作者： JI Bin LUO Xian-Wu WU Yu-Lin XU Hong-Yuan State Key Laboratory of Hydroscience and Engineering Tsinghua UniversityBeijing 100084

Numerical simulations of unsteady cavitating flow around a NACA66-mod hydrofoil were performed using the partially-averaged navier-Stokes method with different values of the resolution control parameters (f k =1.0-0.2,fε =1).With decreasing fk,the predicted cavitating flow becomes unsteady as the time-averaged turbulent viscosity at the rear part of the attached cavity is gradually *** fk =0.9 and 0.8,the cavity becomes unstable and its length dramatically expands and shrinks,but the calculation fails to predict the vapor cloud shedding behavior observed *** smaller fk less than 0.7,the cloud shedding behavior is simulated numerically and the predicted cavity shedding frequency *** fk =0.2,the whole cavitating flow evolution can be reasonably reproduced including the cavity growth/destabilization observed *** reentrant flow along the suction surface of the hydrofoil is the main trigger to cause the vapor cloud *** wall pressure along the hydrofoil surface oscillates greatly due to the dynamic cavity *** the simulations and experiments,it is confirmed that for the PANS method,resolution control parameters of fk =0.2and fε =1 are recommended for numerical simulations of unsteady cavitating ***,the present study shows that the PANS method is an effective approach for predicting unsteady cavitating flow over hydrofoils.

关键词： unsteady navier averaged

An equivalent form of the navier-Stokes equations

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Acta Mechanica Sinica 2023年第2期39卷 165-166页

作者： Bo-Hua Sun School of Civil Engineering&Institute of Mechanics and Technology Xi'an University of Architecture and TechnologyXi'an 710055China

The navier-Stokes equations of incompressible flow can be expressed as follows[1-8]:■v/■t+■·■u=-1/ρ■ρ+v■^(2)v,(1)■·v=0(2)Equation(1)is the momentums equation and Eq.(2)is the mass conservation equation.

关键词： equation. navier equations

Numerical Analysis of Magnetohydrodynamic navier’s Slip Visco Nanofluid Flow Induced by Rotating Disk with Heat Source/Sink

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Communications in Theoretical Physics 2019年第9期71卷 1075-1083页

作者： M.Awais S.Bilal M.Y.Malik Khalil-ur-Rehman Department of Mathematics AIR UniversitySector E-9Air ComplexIslamabad44000Pakistan Department of Mathematics College of SciencesKing Khalid UniversityAbha61413Saudi Arabia Department of Mathematics Quaid-i-Azam UniversityIslamabad44000Pakistan

Current exertion is made to depict and search out the flow features imparted to viscid fluid flow over a rotational disk. Impression of magnetic field with rotating fluid is generated by interacting it in radial *** structured particles with magnetized fluid are also incorporated in the upshot of chemical reaction and absorptive/generative heat induction. Von Kumaran procedure is executed to obtain flow narrating differential *** pattern regarding thermal, momentum profiles are comprehended with the support of shooting method and RungeKutta methods. Furthermore, to get more realistic view of result description computational algorithm is modified by improving Runge-Kutta coefficients with Cash and Carp method. The aspects of flow controlling parameters like momentum slip parameter, magnetic strength parameter, Brownian motion parameter, thermophoresis parameter are adorned in sketches. Findings of these architects are accumulated in conclusion section.

关键词： heat generation/absorption viscous fluid model nanoparticles rotating disk navier slip Cash and Carp method

ON SOLUTION TO THE navier-STOKES EQUATIONS WITH navier SLIP BOUNDARY CONDITION FOR THREE DIMENSIONAL INCOMPRESSIBLE FLUID

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Acta Mathematica Scientia 2019年第6期39卷 1628-1638页

作者： Subha PAL Rajib HALOI Department of Mathematical Sciences Tezpur University

In this article, we prove the existence and uniqueness of solutions of the navierStokes equations with navier slip boundary condition for incompressible fluid in a bounded domain of R^3. The results are established by... 详细信息

关键词： navier-Stokes equations Galerkin method navier slip boundary condition strain tensor

CONVERGENCE OF LEGENDRE METHODS FOR navier-STOKES EQUATIONS

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Journal of Computational Mathematics 1994年第4期12卷 298-311页

作者： CHEN, ZT E, WN LUOYANG EDUC INST LUO YANGPEOPLES R CHINA UNIV CALIF LOS ANGELES DEPT MATHLOS ANGELESCA 90024

This paper is concerned with spectral type of methods using Legendre polynomials. Both Galerkin and collocation approximations for the navier-Stokes equations are considered and their rates of convergence are obtained. As a consequence, it is shown that these methods achieve spectral accuracy if the solutions to the navier-Stokes equations are smooth.

关键词： Stokes navier estimates incompressible discretization Philadelphia Heidelberg Berlin Chebyshev Burgers

A VISCOSITY SPLITTING METHOD FOR THE INITIAL BOUNDARY VALUE PROBLEM OF THE navier-STOKES EQUATION

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Chinese Science Bulletin 1991年第22期36卷 1926-1927页

作者：梁栋 Depantment of Mathematics Shandong University Jinan 250100 PRC

Consider the initial boundary value problem of the navier-Stokes equation: where Ω is a bounded domain of R^2 with smooth boundary (?)Ω. To calculate flow with high Reynold’s number, Ying Lung-an (Lecture Notes in Mathematics, 1297, pp. 184—202) proposed the viscosity splitting method that the equation was split into a nonlinear Euler equation and a nonstationary Stokes equation in each time step, and the convergence for

关键词： Stokes viscosity navier Notes split elliptic letter approx

COMBINED FINITE ELEMENT AND PSEUDOSPECTRAL METHOD FOR THE THREE-DIMENSIONAL navier-STOKES EQUATIONS

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Chinese Annals of Mathematics,Series B 1992年第3期13卷 350-367页

作者：马和平郭本瑜 Department of Mathematics Shanghai University of Science and TechnologyShanghai201800China.

This paper analyzes a combined method with artificial compression for solving thethree-dimensional evolutionary navier-Stokes equations with periodic and no-slipboundary condition.A Fourier pseudospectral method with a control operator is used inthe periodic direction and a standard finite element method in the two *** gener-alized stability of the scheme and optimal rate of convergence of the velocity in L^2-normare proved on the assumption that the BB condition of the fiinite element approximation forthe two-dimensional Stokes equations is satisfied.

关键词： Stokes navier evolutionary 十贵 Legendre assumption norms differentiable satisfied determ

基于混合网格的三维navier -Stokes方程并行算法

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航空学报 2005年第3期26卷 290-293页

作者：夏健伍贻兆南京航空航天大学航空宇航学院江苏南京210016

提出了一种基于混合网格的三维navier Stokes方程的并行计算方法。navier Stokes的求解采用了基于面的有限体积方法,该方法适用于任何网格类型。采用一方程Spalart Allmaras模型来计算紊流黏性。并行计算采用区域分裂的方法,利用METIS... 详细信息

提出了一种基于混合网格的三维navier Stokes方程的并行计算方法。navier Stokes的求解采用了基于面的有限体积方法,该方法适用于任何网格类型。采用一方程Spalart Allmaras模型来计算紊流黏性。并行计算采用区域分裂的方法,利用METIS网格分区系统实现了各节点的加载平衡。节点间的数据交换通过调用MPI库函数来实现,采用非阻断通讯的方式来减少数据交换时间。充分利用FORTRAN90的动态存储特性来减少对内存的需求。最后,通过对绕DLR F6外形(翼身组合体+挂架+发动机短舱)黏性流动的数值模拟,验证了该并行程序的准确性,高性能并行计算以及处理复杂几何外形的能力。

关键词：非结构网格并行计算区域分裂 navier Stokes方程有限体积方法

navier－Stokes方程与湍流研讨会

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力学进展 1996年第3期 432+388-432+388页

Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程与湍流研讨会（１９９５年１２月１８—２１日，北京）在国家科委攀登计划“非线性科学”项目首席专家谷超豪院士的倡议下，由郑哲敏院土、了夏畦院士主持，中科院非线性连续介质力学开放研究实验室承办... 详细信息

Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程与湍流研讨会（１９９５年１２月１８—２１日，北京）在国家科委攀登计划“非线性科学”项目首席专家谷超豪院士的倡议下，由郑哲敏院土、了夏畦院士主持，中科院非线性连续介质力学开放研究实验室承办的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程与...

关键词：方程 navier Stokes 研讨会