Navier-Stokes equations with nonhomogeneous boundary conditions in a bounded three-dimensional domain. J. Math. Fluid Mech. 13: 309339, 2011V. Girinon, “Navier–Stokes Equations with Nonhomogeneous Boundary Condition in a Bounded Three- Dimensional Domain,” J. Math. Fluid Mech. 13 , 309–...
先来总结一下Navier-Stokes方程的解适定性问题研究的历史。 此方程适定性研究之滥觞,应是Lerry的[1]这篇法文文献。这篇文献很长有英文的翻译版本。这篇文章告诉我们有限能量的初值(L^2)存在至少一个全局弱解,且该弱解满足能量不等式。其中弱解就是在弱意义下满足方程的解,满足能量不等式的弱解,也叫做Leray弱...
关键词:烟雾模拟;Navier-Stokes方程;无量纲化;MacCormack方法OptimizationinSolvingtheNavier-StokesEquationforSmokeSimulationwithNondimensionalProcessingMethodLiJinLiPingZhaiSongqingMaKunqi(CollegeofInformationScienceandEngineering,YanshanUniversity,Qinhuangdao066004)Abstract:Thereal-timeinthephysics-basedsmokesimulationisnot...
By way of application, we consider the inverse problem for the three-dimensional Navier-Stokes equations describing the dynamics of a viscous incompressible fluid. 展开 关键词: Theoretical or Mathematical/ flow simulation inverse problems Navier-Stokes equations numerical analysis/ inverse problem finite...
(Stokes 1845) 分别以自己不同的方式对欧拉方程作了修正.需要特别提到的是,1822 年,Navier改进了Euler方程,使之能适用于有一定黏性的流体这一更为实际的情况,但是Navier的数学推论是有缺陷的,只是由于运气好,他最 后得出的方程是正确的.后来,...
为此, 我们首先将Navier-Stokes方程的解转为非线性积分算子的不动点形式, 即把Navier-Stokes方程转化为积分方程. 一个最自然的办法是将非线性项视为线性Stokes方程的非齐次项并利用线性方程的齐次化原理, 则方程 (1) 等价于(2)u=etΔu0+∫0te(t−s)ΔP∇⋅(u⊗u)ds.这里, 为了简化我们取μ=1,...
In that report solution to incompressible Navier - Stokes equations in non - dimensional form will be presented. Standard fundamental methods: SIMPLE, SIMPLER (SIMPLE Revised) and Vorticity-Stream function approach are compared and results of them are analyzed for standard CFD test case - Drived Ca...
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
(安徽大学数学科学学院,安徽合肥230601) 摘要: 三维的带有非线性阻尼Iulp-1 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...
axisymmetric nozzlestwo-dimensional nozzlesNavier-Stokes solverinternal flowsWe develop large-scale numerical optimization methods for optimal control of steady ... O Ghattas,JH Bark - 《Journal of Computational Physics》 被引量: 165发表: 1997年 Prediction of Heat Transfer under an Axisymmetric Laminar...