Showing papers in "Computers & Fluids in 1991"

TL;DR: In this article, a pseudo-spectral Chebyshev algorithm was used to solve the equations of natural convection in a 2D differentially heated cavity with adiabatic top and bottom walls for values of Ra up to 108.

TL;DR: A non-staggered mesh scheme that also satisfies these constraints has been developed and comparisons between it and a SIMPLE scheme for natural convection in a cavity indicate that the schemes have equivalent accuracy.

TL;DR: In this paper, a new numerical model is presented for viscous flow simulation using the discrete vortex model, where the viscous diffusion is produced by the vortices' movement induced by the diffusion velocity introduced in this paper.

TL;DR: In this article, the Navier-Stokes equations for Re = 60 and 100 and the rotational parameter, α, in the range of 0 ⩽ α ⌽ 1.

TL;DR: In this article, a convection algorithm is presented for accurately simulating highly convective flows containing discontinuities such as density fronts or shock waves, without distorting smooth profiles or clipping narrow local extrema.

TL;DR: In this paper, a finite element program was developed in order to simulate the vortex shedding behind one or two circular cylinders and the velocity-pressure formulation was used to solve the Navier-Stokes equations.

TL;DR: In this article, a volume discretization of the transient Navier-Stokes equations on a triangular mesh is viewed as a system defining flows on an associated network, and the dual variable method transforms this primitive system into an equivalent system which is one-fifth the size of the primitive system, eliminates the pressures and yields velocities that are exactly discretely divergence free.

TL;DR: In this paper, a finite-volume method for the solution of 2-D/axisymmetric Euler equations using triangular moving grids is presented, which is carried out using Roe's approximate Riemann solver.

TL;DR: In this article, an extension of the Roe's Riemann solver for chemically equilibrium flow is presented. But the solution is not unique in the solution and there is no uniqueness in the solutions.

TL;DR: In this article, the Navier-Stokes equations in two and three dimensions are solved by a robust alternating direction line-Gauss-Seidel iteration procedure combined with a simple multigrid strategy.

TL;DR: In this article, a numerical procedure is developed to allow the accurate computation of the trajectory of a 3D hairpin vortex having a small core radius, and the calculated results show that a 2-D vortex containing a small 3D disturbance distorts into a complex shape with subsidiary hairpin vortices forming outboard of the original vortex.

TL;DR: In this paper, the performance of a Taylor-Galerkin fractional step algorithm is examined as applied to the steady flow of viscous incompressible fluids in channels with a step.

TL;DR: In this paper, a universal solver for general hyperbolic equations with dissipative and dispersive terms is proposed, which uses piecewise cubic polynomial interpolation inside meshes.

TL;DR: In this paper, the fractional-step method and the SMAC method are applied to a general curvilinear coordinates grid, so that the continuity condition can be satisfied identically.

TL;DR: In this paper, an algebraic Reynolds stress (ASM) turbulence model using a simplified pseudo-viscosity is incorporated with a non-orthogonal and non-staggered grid system using Cartesian velocity components with finite volume discretization.

TL;DR: In this paper, an interactive boundary-layer (IBL) formulation for 3D laminar flow of an incompressible fluid over a surface-mounted obstacle is addressed computationally and compared with other methods at various Re.

TL;DR: In this article, the authors reviewed the asymptotic foundation of two-dimensional steady triple-deck theory and showed that there are three distinguished limits when 0 1 2 and hence three sets of least degenerate problems, resulting in a triple deck structure.

TL;DR: A new method on the unstructured grid system is devised for the simulation of incompressible steady flow using the Voronoi diagram for the finite volume method and the SIMPLE algorithm can be applied with little expansion.

TL;DR: These studies show that the hybrid method performs significantly better than either the P or PC method alone: it is more accurate for given computer time, and reduces computer time for given accuracy.

TL;DR: In this paper, the implementation problems of a numerical procedure for the solution of the Reynolds-average Navier-Stokes equations in boundary-fitted coordinates are described and validated using well-documented experiments on the HSVA tanker and the comparisons demonstrate the ability of the method to predict ship stern flows.

TL;DR: In this article, a Fourier-Chebyshev pseudospectral method for solving 3D Navier-Stokes equations in cylindrical cavities is presented and discussed.

TL;DR: In this paper, a composite oscillation-damping algorithm is used to approximate the convection terms of transport equations and a zonal procedure is introduced into an advanced finite-volume method that uses general non-orthogonal and non-staggered grids.

TL;DR: In this paper, a damped artificial compressibility method for accelerating steady-state fluid dynamics calculations at low Mach number (Ma) is described. But the method is not suitable for high Mach number calculations.

TL;DR: In this article, a numerical technique is developed which applies to the stream function formulation of the Navier-Stokes equations in multiply connected domains, using a set of biharmonic basic functions which are related to the topological structure of the domain, and a specific representation the original problem is solved numerically by an algorithm which combines a Navier Stokes solver for problems in simply connected domains with a system of linear algebraic equations in a Newton-SOR type scheme.

TL;DR: In this article, the propagation of thermal shock waves is numerically simulated by applying a finite difference method, MacCormack's forward-predictor backward-corrector method.

TL;DR: A block-alternating-direction-implicit method is given, which applies the approximate factorization scheme of Beam and Warming to the vorticity-stream function equations, using the delta form of the deferred correction procedure of Khosla and Rubin to combine the stability of upwind schemes with the accuracy of central differences.

TL;DR: An approximate factorisation explicit (AFE) algorithm for solving tridiagonal systems of equations iteratively on parallel processors is combined with a group finite element multigrid auxiliary potential solver for the incompressible Navier-Stokes equations.

TL;DR: A robust flow solver with the automatic grid generator can be a useful CFD tool for routine engineering work and is applied to external and internal flow problems to demonstrate its capability.

TL;DR: An implicit time-marching finite-difference method for solving the three-dimensional compressible Navier-Stokes equations for the relative flow of a turbomachine impeller in general curvilinear coordinates is presented in this article.

TL;DR: In this paper, an incompressible Newtonian fluid flowing from a long straight channel of square crosssection into a 90° bending channel of the same cross-section is considered, and two different finite element schemes for the simulation of the 3-D Navier-Stokes equations are used.