Showing papers in "Computers & Fluids in 1986"

TL;DR: In this paper, spectral methods (Fourier Galerkin, Fourier pseudospectral, Chebyshev Tau, Chebyhev collocation, spectral element) and standard finite differences are applied to solve the Burgers equation with small viscosity (v = 1 100 π ).

TL;DR: In this article, a zonal boundary condition that can be used with explicit and implicit integration schemes such as the Beam-Warming and Osher schemes was extended to allow for second order accurate implicit integration.

TL;DR: In this article, the Navier-Stokes equations were solved using the finite element method to study the laminar flow of a Newtonian fluid in planar and axisymmetric abrupt expansions and provide a broader picture of how the expansion ratio and Reynolds number influence the reattachment length, downstream location of the eddy and the relative eddy intensity in both co-ordinate systems.

TL;DR: In this article, the flow of an incompressible, constant density micropolar fluid past a porous stretching sheet is investigated using a globally convergent homotopy method in conjunction with a least charge secant update quasi-Newton algorithm.

TL;DR: In this paper, the authors modeled the fluid flow and the heat transfer for a row of spheres in a cylindrical tube by considering the flow past two spheres in the long tube.

TL;DR: In this article, a general pressure correction analysis is presented using the full form of the linearized momentum equations, and two extended pressure correction techniques are derived using higher-order approximations and shown to be up to 50% faster than SIMPLE on a test example.

TL;DR: A local mesh refinement procedure is introduced as part of a Multi-Grid scheme for the solution of the Navier-Stokes equations in primitive variables, which allows the storage of the dependent variables, without increasing in the required computer memory.

TL;DR: In this paper, the Navier-Stokes equations for finite values of the Prandtl and Grashof numbers were obtained for convective flow over the surface of a sphere whose temperature is suddenly raised to a value greater than that of its surroundings.

TL;DR: In this paper, two-dimensional time-dependent numerical computations of natural convection have been made using explicit finite-difference equations in terms of temperature, vorticity and stream function.

TL;DR: In this paper, a solution of the parabolic Navier-Stokes (PNS) equations for supersonic flows is discussed, and compatibility of the PNS method with the triple-deck theory of Stewartson (1974) is demonstrated.

TL;DR: In this paper, a conservative zoning technique, wherein the flow field for a finite-difference calculation is divided into several regions to simplify grid generation, is discussed and is applied in the solution of a two-dimensional problem of complex topology.

TL;DR: In this article, a new finite-difference scheme of second-order accuracy, free of artificial diffusion, for solving the steady-state incompressible Navier-Stokes equations is presented, using a false transient approach with a combination of variable time step size and over-relaxation for the convection and diffusion terms.

TL;DR: In this article, the two-point subsonic method of Wornom (1983) is modified to permit calculation of transonic flows with shocks using artificial density and/or artificial pressure.

TL;DR: In this paper, the steady separated flow due to an obstruction in a two-dimensional channel is studied through the numerical solution of the Navier-Stokes equations using finite difference techniques.

TL;DR: This paper analyzes the stability and accuracy of various finite element approximations to the linearized two-dimensional advection equation and finds the criss-cross triangle formulation is found to be unstable.

TL;DR: Although the spectral equation is a very ill-conditioned and full matrix problem, the computational effort of the present iterative methods for solving such a system is comparable to that for the sparse matrix equations obtained from the application of either finite-difference or finite-element methods to the same problems.

TL;DR: In this article, the interaction between an oblique shock wave and a laminar boundary layer in a supercritical transonic flow is studied numerically for shock strengths sufficiently large that separation occurs.

TL;DR: In this paper, numerical solutions to the Navier Stokes equations for the flow enclosed between two rotating discs and a sidewall are presented, up to a Reynolds number of 1200, using second order central finite differencing.

TL;DR: The results of numerical calculations based on the finite element for the two-dimensional Benard convection are presented in this article, where the fluid is confined between two horizonal solid walls and is subjected to a vertical temperature gradient.

TL;DR: In this article, a formal series method of solution for flows in pipes with slowly varying geometries is applied to the specific example of flow in a slowly twisted pipe of elliptical cross-section.

TL;DR: In this paper, a low apsect ratio bounded rectangular jet flow with an artificial disturbance was numerically analyzed by solving three-dimensional Navier-Stokes equations with primitive variables.

TL;DR: The numerical prediction of laminar inclined flow in the interspaces of an array of parallel tubes is discussed in this article, where the differential equations describing flow are solved by finite-difference means in conjuction with computer-generated curvillinear grids, using implicit, iterative solution algorithms.

TL;DR: In this article, a numerical procedure for the prediction of turbulent, fully developed inclined flow in rod bundles, including the limiting cases of purely axial and purely transverse flow, is described.

TL;DR: In this article, a numerical scheme based on coupling a shooting technique with windward differencing to account for flow reversals is described, along with a comparison with another method of treating reversed flow.

TL;DR: In this paper, a comparison of flux-corrected transport (FCT) methods with other total variation diminishing (TVD) schemes for the 2D linear advection of a 2D Gaussian initial temperature distribution of various half-widths is made.

TL;DR: In this paper, a combination of a variable domain and a fixed domain-finite-element method is utilized to solve the governing potential-flow equations, and the free surface profile, including a part part of the free jet, trajectory, the pressure distribution and flow rate are calculated for a given stagnation water level.

TL;DR: In this article, the authors show how one global grid can be patched together from a number of smaller ones, allowing for the possibility that the derivatives along common boundaries may not be continuous, and then approximate this grid by a smooth one in such a way that the essential structure of each patch is preserved.

TL;DR: In this article, the Galerkin process is used to study the translation of a cylinder through fluid occupying the space between it and a co-axial cylindrical container under incompressible creeping flow conditions.

TL;DR: In this paper, the steady flow of a perfect gas through a slit in a plane wall is studied, where the pressure conditions are such that the flow is near its maximum rate, and the transonic flow is transonic.