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61.
王申林 《山东大学学报(理学版)》1994,(1)
将线性协调元方法用于解Navier-Stokes方程,对速度近似可以得到按[H1(Ω)]n模的最优阶敛速估计. 相似文献
62.
The problem of establishing appropriate conditions for the vorticity transport equation is considered. It is shown that, in viscous incompressible flows, the boundary conditions on the velocity imply conditions of an integral type on the vorticity. These conditions determine a projection of the vorticity field on the linear manifold of the harmonic vector fields. Some computational consequences of the above result in two-dimensional calculations by means of the nonprimitive variables, stream function and vorticity, are examined. As an example of the application of the discrete analogue of the projection conditions, numerical solutions of the driven cavity problem are reported. 相似文献
63.
In this paper we study the rotational form of the pressure-correction method that was proposed by Timmermans, Minev, and Van De Vosse. We show that the rotational form of the algorithm provides better accuracy in terms of the -norm of the velocity and of the -norm of the pressure than the standard form.
64.
In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved. 相似文献
65.
Zdeněk Skalák 《Applications of Mathematics》2003,48(2):153-159
We present a simplified proof of a theorem proved recently concerning the number of singular points of weak solutions to the Navier-Stokes equations. If a weak solution u belongs to L
(0, T, L
3()3), then the set of all possible singular points of u in is at most finite at every time t0 (0,T). 相似文献
66.
Lan-chieh Huang 《计算数学(英文版)》2000,(5)
1. IntroductionLet us consider the unsteady incompressible Navier--Stokes equatinns (qSE)on a twedimensional reginn n with boundary On. Here w is the velocity vector; interms of its Caxtesian,components w = (u, v)"; p is the Pressure. The initial conditionis given assatisheng (1.2). We are concerned mainly with the solid wall boundary conditiollbut we will also briefly discuss the outflow boundary conditinn. Note the convectionterm can ajBo be written in conservative form (w' glad)w = div(… 相似文献
67.
José M. Arrieta Alexandre N. Carvalho 《Transactions of the American Mathematical Society》2000,352(1):285-310
We prove a local existence and uniqueness theorem for abstract parabolic problems of the type when the nonlinearity satisfies certain critical conditions. We apply this abstract result to the Navier-Stokes and heat equations.
68.
We consider the question of the existence of stationary solutions for the Navier Stokes equations describing the flow of a
incompressible fluid past a semi-infinite flat plate at zero incidence angle. By using ideas from the theory of dynamical
systems we analyze the vorticity equation for this problem and show that a symmetry-breaking term fits naturally into the
downstream asymptotic expansion of a solution. Finally, in order to check that our asymptotic expressions can be completed
to a symmetry-breaking solution of the Navier–Stokes equations we solve the problem numerically by using our asymptotic results
to prescribe artificial boundary conditions for a sequence of truncated domains. The results of these numerical computations
a clearly compatible with the existence of such a solution.
Mathematics Subject Classification (2000). 76D05, 76D25, 76M10, 41A60, 35Q35
Supported in part by the Fonds National Suisse. 相似文献
69.
提出了定常的Navier-Stokes方程的Petrov-Galerkin最小二乘二重网格有限元法.该方法是在粗网格有限元空间X^H上解一个小的非线性问题,同时在细网格有限元空间X^h(h<相似文献
70.
应用Chapman-Enskog展开和多重尺度技术求取二阶、四阶粘性系数及三阶色散系数;给出Navier-Stokes方程所要求的平衡态分布函数的高阶矩形式. 相似文献