Navier-Stokes equationsFinite element analysisMatrices(Mathematics)Parallel processorsComputer systems hardwareArraysAlgorithmsResults are presented of the investigation of the union of the factored finite element Navier-Stokes (SFENS) algorithm with new and proposed computer systems and hardware architectures. ...
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In this paper we show that the weak solutions of the Navier-Stokes equations on any bounded, smooth three-dimensional domain have a global attractor for any positive value of the viscosity. The proof of this result, which bypasses the two issues of the possible nonuniqueness of the weak soluti...
The asymptotic behavior of solutions of the three-dimensional Navier–Stokes equations is considered on bounded smooth domains with no-slip boundary conditions and on periodic domains. Asymptotic regularity conditions are presented to ensure that the convergence of a Leray–Hopf weak solution to its wea...
一种高效的多重网格三维n-s方程计算方法及其应用 efficient cell-centered multigrid scheme for the three-dimensional navier-stokes equations 文档格式: .pdf 文档大小: 334.87K 文档页数: 7页 顶/踩数: 0/0 收藏人数: 0 评论次数: 0 文档热度:
S. . Wille, The Three Dimensional Prolonged Adaptive Unstructured Finite Element Multigrid Method for The Navier - Stokes Equations. Int. J. for Num. Methods in Fluids. In Print. 1996.S.O. Wille, `The three dimensional prolonged adaptive unstructured finite element multigrid method for the ...
Rigorous estimates for the total - (kinetic) energy plus pressure - flux inR^3 are obtained from the three dimensional Navier-Stokes equations. The boundsare used to establish a condition - involving Taylor length scale and the sizeof the domain - sufficient for existence of the inertial range...
In this paper, we prove the existence of global and exponential attractors of optimal regularity of a regularization for the three-dimensional Navier–Stokes equations with damping, which is called the three-dimensional velocity–vorticity–Voigt (VVV) system proposed by Larios, Pei and Rebholz (Lar...
We show that if a Leray–Hopf solution u of the three-dimensional Navier–Stokes equation belongs to \({C((0,T]; B^{-1}_{\infty,\infty})}\) or its jumps in the \({B^{-1}_{\infty,\infty}}\)-norm do not exceed a constant multiple of viscosity, then u is regular for (0...
This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on separating the convection and diffusion parts. The convective flux is computed using the Godunov method. For the diffusive part, we present a new finite...