Keywords:smokesimulation;Navier-Stokesequation;nondimensionalprocessing;MacCormack method 51第四届立体图象技术专业委员会学术研讨会论文集 1.引言 随着计算机技术的飞速发展,越来越多的自然现象出现在计算机动画、游戏、影视制作等领域。而用计算机模拟真实感的图形一直是计算机图形学中最具有挑战性的研究方向之一,特别是...
不可压缩Navier-Stokes方程组是一个非常重要的刻画黏性流体运动的物理模型,迄今已有将近200年的历史.对Navier-Stokes方程的真正的数学理论研究是从20世纪30年代法国数学家Leray[3]关于弱解的整体存在性的奠基性工作开始的.后来,德国数学家Hopf[4]...
J. M. Bernard, Non-standard Stokes and Navier-Stokes problems: existence and regularity in stationary case, Math. Methods Appl. Sci. 25 (2002), 627-661.J. M. Bernard. Non-standard Stokes and Navier-Stokes problems: existence and regularity in sta- tionary case. Math. Methods Appl. Sci...
"Global regularity for some classes of large solutions to the Navier-Stokes equations." Annals of Mathematics (2011): 983-1012. ^M. Paicu and Z. Zhang, Global regularity for the Navier–Stokes equations with some classes of large initial data, {\it Analysis \& PDE, \bf 4} (2011), no...
的Navier—Stokes方程的解的渐进行为,首先利用傅 立叶分解法研究当P≥10/3时弱解的 衰变,然后讨论当7/2≤P<5时强解的高阶导数的最 优上界. 关键词:Navier—Stokes方程;L2衰变;非线性阻尼;高阶导数 中图分类号:0175.2 文献标识码:A O 引 言
adams-bashforth schemeerror estimateIn this article, we suggest a new third-order time discrete scheme for the two-dimensional non-stationary Navier–Stokes equations. After presenting the Galerkin finite element approximation for the spatial discretization, we consider an implicit/explicit time discrete...
M.Capi‘nski,N.J.Cutland.Statistical solutions of Navier-Stokes equations by nonstandard densities. Mathematical Models and Methods in Applied Sciences . 1991M.Capi‘nski,N.J.Cutland.Statistical solutions of Navier-Stokes equations by nonstandard densities.Mathematical Models and Methods in Applied ...
流体力学方程组Navier-stokes方程组精确解 NS-MHD方程精确解 1 (2) 2, (3) 3, (4) 4, (4) 5, (5) 6, (6) 7, (8) 8, (8) 9, (9) 10 (10) 11 (10) 12, (11) 13 (12) 14 (12) 15 (13) 16 ... 错误!未定义
中国科学 : 数学 2018 年第 48 卷第 1 期 : 45 ∼ 70 SCIENTIA SINICA Mathematica 综述 三维 Navier-Stokes 方程组解的正则性相关问题 的一些探索 献给董光昌教授 90 华诞 方道元, 张挺∗ 浙江大学数学科学学院, 杭州 310027 E-mail: dyf@zju.edu.cn, zhangting79@zju.edu.cn 收稿日期: 2017-03-13...
Hriczo. Self-similar analytic solution of the two-dimensional navier-stokes equa- tion with a non-newtonian type of viscosity. Mathematical Modelling and Analysis, 21(1):83-94, 2016.Barna I, Bognar G, Hriczo K (2016). Self-similar analytic solution of the two-dimensional Navier-Stokes ...