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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 direction.Nano 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 expressions.Flow 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

Quantum Hydrodynamics of Fractonic Superfluids with Lineon Condensate:From Navier-Stokes-Like Equations to Landau-Like Criterion

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

作者：袁键铿陈帅叶鹏 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)symmetry.The 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 moments.Owing to the presence of such conserved quantities,the mobility of particles is restricted either completely or partially.Here,we systematically study the hydrodynamical properties of fractonic superfluids,especially focusing on the fractonic superfluids with conserved angular moments.The constituent bosons are called"lineons"with d components in d-dimensional space.From the Euler-Lagrange equation,we derive the continuity equation and Navier-Stokes-like equations,in which the angular moment conservation introduces extra terms.Further,we discuss the current configurations related to the defects.Like the conventional superfluid,we study the critical values of velocity fields and density currents,which gives rise to a Landau-like criterion.Finally,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：季斌罗先武吴玉林许洪元 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 reduced.For 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 experimentally.With smaller fk less than 0.7,the cloud shedding behavior is simulated numerically and the predicted cavity shedding frequency increases.With fk =0.2,the whole cavitating flow evolution can be reasonably reproduced including the cavity growth/destabilization observed previously.The reentrant flow along the suction surface of the hydrofoil is the main trigger to cause the vapor cloud shedding.The wall pressure along the hydrofoil surface oscillates greatly due to the dynamic cavity shedding.Comparing 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 flows.Thus,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

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

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

非结构网格上二维可压缩Navier-Stokes方程的并行算法

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西南民族大学学报（自然科学版） 2015年第5期41卷 621-626页

作者：段治健马欣荣秦梦梅咸阳师范学院数学与信息科学学院陕西咸阳712000

为了提高Navier-Stokes方程的求解效率,在分布式环境下,提出了基于区域分解算法的并行求解算法.首先,通过多级图分区方法划分非结构网格,使得多块区域网格独立保存;其次,内边界构造虚拟单元进行数据传递,最大限度减少通信开销,并加入当... 详细信息

为了提高Navier-Stokes方程的求解效率,在分布式环境下,提出了基于区域分解算法的并行求解算法.首先,通过多级图分区方法划分非结构网格,使得多块区域网格独立保存;其次,内边界构造虚拟单元进行数据传递,最大限度减少通信开销,并加入当地时间步长以及AF-ADI隐式时间离散技术进一步提高计算效率;最后,在集群系统上,计算了NACA0012翼型和RAE2822翼型黏性绕流,8台处理机并行效率保持在42%以上,验证了该方法的可行性和高效性.数值结果表明,算法适合分布式环境下进行粗粒度科学计算.

关键词： Navier Stokes方程并行算法多级图分区方法 AF—ADI隐式时间离散算法并行效率

Existence of Solutions to a Class of Navier Boundary Value Problem Involving the Polyharmonic

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Advances in Pure Mathematics 2018年第4期8卷 373-379页

作者： Yongyi Lan School of Sciences Jimei University Xiamen China

This paper is devoted to the following high order elliptic problems under the Navier boundary condition: ?Without assuming the standard subcritical polynomial growth condition ensuring the compactness of a bounded (P.S.) sequence, we show that the Navier boundary value problem has at least a weak nontrivial solution for all λ>0?by using mountain pass theorem.

关键词： Navier Boundary Value Problem Polyharmonic Variational Methods Mountain Pass Theorem

MAXIMUM NORM ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF THE STATIONARY AND NONSTATIONARY Navier-STOKES PROBLEMS

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Acta Mathematica Scientia 1993年第3期13卷 335-349页

作者：沈树民邓庆平 Dept. of Math. Suzhou Univ. Suzhou 215006 China

The paper deals with maximum norm error estimates of conforming finite element approximate solutions for the stationary and nonstationary Navier-Stokes problems in a plane bounded domain, using the so-called velocity-pressure mixed variational formulation. Quasi-optimal maximum norm error estimates of the velocity and its first derivatives, and the pressure are obtained for conforming finite element approximations of the stationary Navier-Stokes problem by some estimates of the Green function and their finite element approximations for Stokes problem. Moreover, with the method of Navier-Stokes projection, quasi-optimal maximum norm error estimate results are shown for semidiscrete conforming finite element approximations of the nonstationary Navier-Stokes problem.

关键词： Stokes estimates Navier formulation stationary approximate projection variational ERROR quasi

本刊英文版2022年65卷第6期(1109–1330)摘要(英文)

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中国科学：数学 2022年第6期52卷 I0001-I0004页

Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data Marius Paicu&Ping Zhang Abstract We investigate the hydrostatic approximation of a hyperbolic version of Navier-Stokes equations,which is obtained by using the Cattaneo type law instead of the Fourier law,evolving in a thin strip R×(0,ε).

关键词： hyperbolic Navier hydrostatic