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Showing papers in "Computers & Fluids in 1987"


Journal ArticleDOI
TL;DR: In this paper, a brief account of various turbulence models employed in the computation of turbulent flows, and evaluation of the application of these models to selected internal flow configurations is presented. But, the main conclusions of this analysis are: (1) the k-epsilon model is used in a majority of all the two-dimensional flow calculations reported in the literature; (2) modified forms of the K-Epsilon model improve the performance for flows with streamline curvature and heat transfer; (3) for flow with swirl, the algebraic stress model performs rather

264 citations


Journal ArticleDOI
TL;DR: In this article, a general finite-volume approach to the calculation of turbulent flow in geometrically complex domains, based on a non-orthogonal cordinate formulation of the governing equations with contravariant physical velocity components, is presented.

108 citations


Journal ArticleDOI
TL;DR: In this paper, a technique for computing two-dimensional, compressible, inviscid, unsteady flows with shocks is described in detail, which combines a 2D version of the λ-scheme with a simple method of shock-fitting.

104 citations


Journal ArticleDOI
TL;DR: In this article, four numerical schemes for solving the incompressible Navier-Stokes equations in primitive variables are discussed and compared using the Chebyshev pseudospectral matrix (CPSM) approach for evaluating spatial derivatives.

56 citations


Journal ArticleDOI
TL;DR: In this paper, a very accurate ADI method has been applied to the Navier-Stokes equations written in vorticity-velocity variables, which are strongly coupled and do not require an iterative procedure to obtain a solenoidal velocity field.

54 citations


Journal ArticleDOI
TL;DR: In this paper, the Navier-Stokes equations for the liquid phase and substantially simplified conservation equation for the gas phase are solved by a finite-volume solution algorithm, which can handle the cyclic boundary conditions and asymmetric properties encountered in problems associated with gas-stirred liquid reactors.

38 citations


Journal ArticleDOI
TL;DR: In this paper, a general numerical scheme for solution of two-dimensional Stokes equations in a multiconnected domain of arbitrary shape is applied to the motion of a rigid circular cylinder between plane parallel boundaries.

34 citations


Journal ArticleDOI
TL;DR: In this paper, a numerical method is presented for the 2D flow of a viscous, incompressible fluid in a branching channel, where a curvilinear coordinate generation algorithm is used to map the solution region onto a rectangle and this permits a solution over unrestricted ranges of branching angle and channel widths.

32 citations


Journal ArticleDOI
TL;DR: The computational results for laminar subsonic, transonic and supersonic steady-state flows which are compared with analytical and other numerical results as well as with experimental data illustrate the efficiency and the accuracy of the algorithm.

28 citations


Journal ArticleDOI
TL;DR: The behavior of flow around a cylindrical particle in a channel is qualitatively similar to the behavior offlow around a spherical particles in a tube, while the flowaround a spherical particle inA channel frequently exhibits different trends from the above two cases.

28 citations


Journal ArticleDOI
TL;DR: In this article, the coupled strongly implicit procedure (CSIP) has been used for diffusion, potential flow and reduced Navier-Stokes (RNS) equations for 3D space marching.

Journal ArticleDOI
TL;DR: In this paper, the drift of trailing vortices in a cross wind near the ground is modeled by an unsteady two-dimensional, rotational flowfield where there are concentrations of large vorticity in spots having small effective sizes and finite total strengths.

Journal ArticleDOI
TL;DR: In this article, a global relaxation procedure for the steady-state Euler equations is proposed to capture simple imbedded shock waves. But the method is not suitable for the case of viscous-inviscid interaction.

Journal ArticleDOI
TL;DR: In this paper, a double decked structure for the flow is proposed with the displaced free surface equal to the locla boundlary layer displacement ( −A ), and the pressure P = −sA − A″, where s is inversely proportional to the angle of inclination of the initial plane.

Journal ArticleDOI
TL;DR: The algorithm of localization of strong discontinuities in the difference solutions developed on the basis of numerical solution of multidimensional steady and unsteady problems by finite difference shock-capturing techniques does not require for their realization any a priori information on the orientation of shock surfaces with respect to the spatial co-ordinates axes.

Journal ArticleDOI
TL;DR: In this article, the penalty method was employed with a finite difference formulation in terms of the primitive variables to solve the Navier-Stokes equations, provided a MAC-type grid is used; a conventional grid yields very poor results.

Journal ArticleDOI
TL;DR: In this paper, the authors considered the problem of constructing discrete boundary conditions for non-linear dispersion models of the Boussinesq and Korteweg-de Vries type.

Journal ArticleDOI
TL;DR: In this paper, numerical solutions were obtained for the internal fluid motion of a condensing droplet contaminated with solid surfactant cap in high Reynolds number flow, and the results showed that the larger the surfactants cap, the slower the internal motion.

Journal ArticleDOI
TL;DR: In this article, the problems which arise in the context of numerical solution of the 3D laminar boundary layer equations in streamline-potentialline coordinates are discussed and the solution process in devised that general (nonsymmetric) 3D configurations can be treated by a selfadaptive variable step size/variable order method which tries to balance all relevant numerical errors to a prescribed relative tolerance.

Journal ArticleDOI
TL;DR: In this paper, the nonlinear convective part of the Navier-Stokes equation is transformed into a symmetric form and applied to an iterative finite element procedure to reproduce the properties of an incompressible Newtonian fluid.

Journal ArticleDOI
TL;DR: In this article, the authors reported three-dimensional calculations of developing flow in a square duct with non-uniform inlet conditions, where the nonuniformity was generated at the entrance of each of four subducts formed by placing a cruciform into developed flow in larger square ducts.

Journal ArticleDOI
TL;DR: A review of works devoted to the construction of extra boundary conditions for the systems of equations with constant coefficients and gas dynamics equations, are given in this article, where the examples of numerical calculations of gas dynamics equation illustrate the influence of choice of additional boundary conditions on solution.