Journal ArticleDOI
Hopf bifurcation of the unsteady regularized driven cavity flow
TLDR
In this paper, a numerical simulation of the incompressible flow in the unit cavity is performed by using a Chebyshev-Tau approximation for the space variables, and it is found that the flow converges to a stationary state for Reynolds numbers (Re) up to 10,000.About:
This article is published in Journal of Computational Physics.The article was published on 1991-07-01. It has received 190 citations till now. The article focuses on the topics: Hele-Shaw flow & Reynolds number.read more
Citations
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Journal ArticleDOI
Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Roger Temam)
TL;DR: 5. M. Green, J. Schwarz, and E. Witten, Superstring theory, and An interpretation of classical Yang-Mills theory, Cambridge Univ.
Book ChapterDOI
Finite element methods for incompressible viscous flow
Journal ArticleDOI
Convective instability mechanisms in thermocapillary liquid bridges
TL;DR: In this article, the primary instability of axisymmetric steady thermocapillary flow in a cylindrical liquid bridge with non-deformable free surface is calculated by a mixed Chebychev finite difference method.
Journal ArticleDOI
On error estimates of projection methods for Navier-Stokes equations: first-order schemes
TL;DR: In this paper, a semi-discretized form of the Navier-Stokes equations in a two-or three-dimensional bounded domain is studied and error estimates for the velocity and the pressure of the classical projection scheme are established via the energy method.
References
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Book
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
TL;DR: In this article, the authors give bounds on the number of degrees of freedom and the dimension of attractors of some physical systems, including inertial manifolds and slow manifolds.
Book
Spectral Methods in Fluid Dynamics
M. Y. Hussaini,Thomas A. Zang +1 more
TL;DR: Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.
Book
Navier-Stokes Equations: Theory and Numerical Analysis
TL;DR: This paper presents thediscretization of the Navier-Stokes Equations: General Stability and Convergence Theorems, and describes the development of the Curl Operator and its application to the Steady-State Naviers' Equations.
Book
Navier-Stokes Equations
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Journal ArticleDOI
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
U Ghia,K.N Ghia,C. T. Shin +2 more
TL;DR: The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions.
Related Papers (5)
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
U Ghia,K.N Ghia,C. T. Shin +2 more