Showing papers in "Computers & Fluids in 1983"

TL;DR: In this article, numerical solutions for steady viscous flow past a rotating circular cylinder were obtained for Reynolds numbers of 5 and 20 and ratios of the speed of the surface of the cylinder to the fluid speed at infinity from 0 to 0.5.

TL;DR: In this article, the origin and nature of spurious oscillation modes that appear in mixed finite element methods are examined and a modal analysis for the one-dimensional problem is developed, which provides an explanation of the phenomenon in question and permits the cause of the very complex behavior of spurious modes observed in numerical experiments with the shallow water equations and Navier-Stokes equations.

TL;DR: In this article, a global or pressure relaxation formulation for the reduced form of the Navier-Stokes equations, frequently referred to as semi-elliptic or partially parabolized or just “parabolized” Navier Stokes (PNS), is presented.

TL;DR: Several finite difference-schemes for approximating solutions of initial value problems associated with systems of linear hyperbolic differential equations and extensions to several space-like dimensions by splitting methods are considered.

TL;DR: In this paper, a numerical study of the vertical two-dimensional natural convection flow over a heated vertical surface and that in a thermal plume, the ambient medium being stably stratified due to a temperature increase with height, is carried out.

TL;DR: In this article, a direct biharmonic boundary integral equation (BBIE) method was used to reformulate the differential equation as a pair of coupled integral equations, in which Green's Theorem was used as a reformulation.

TL;DR: In this article, recent progress in computational methods for time dependent fluid dynamics is presented with the emphasis on advances applicable to large scale systems with the connection between the numerics and the physics of the code stressed All aspects of a working code are discussed including initialization, boundary conditions, grid generation in addition to algorithmic advances.

TL;DR: In this paper, an algorithm for the solution of advection-diffusion equations based on the finite element method combined with the discretization of the total differential Dρ Dt is presented.

TL;DR: In this article, the solution of the semi-elliptic or so-called parabolized Navier-Stokes equations is considered for large Reynolds numbers and subsonic flows with strong pressure interaction.

TL;DR: In this paper, a software designed to handle some mathematical models which are used to treat advection-diffusion phenomena in the atmosphere is developed, which can be used to study some other phenomena in fluids, e.g. in marine environments.

TL;DR: A pseudospectral explicit method for solving parabolic problems is presented in this paper, and a stability theorem is proved for model equations, and numerical experiments are discussed in detail.

TL;DR: In this paper, the stability of two-dimensional, steady flows of Newtonian liquid with free boundaries affected by surface tension to small, three-dimensional disturbances is calculated by the finite element method.

TL;DR: In this article, a numerical model is described for the simulation of storm surges which uses a non-uniform off-shore grid-spacing adjacent to coastal boundaries, which permits an increased resolution near the coast in the models described in.

TL;DR: In the present paper practically all the most known difference schemes of a straight-through calculation for the gas dynamics equations are described and their classification is given according to principal properties such as stability, accuracy, dispersion, dissipation and so on.

TL;DR: In this paper, the generalized conjugate gradient scheme, based on the k-line and k × k block Jacobi splittings A = M − N, was studied for solving two-dimensional parabolic and elliptic difference equations AU = F.

TL;DR: In this paper, it was shown that the boundary layers growing from the windward line of symmetry have collided, and support for this view is given by windward to leeward integrations for a range of values of k.

TL;DR: In this paper, an algorithm for the steady, two-dimensional, inviscid, supersonic flow near a wall with a compressive turn is presented, where the wall is contoured to provide a centered, Prandtl-Meyer compression.

TL;DR: In this article, a numerical solution of the Navier-Stokes equation and an asymptotic analysis for Laminar steady compressible flow between close rotating thermally conducting axisymmetric disks with inflow was investigated by means of the numerical solution, obtained for small ϵ, E and H (Rossby and Ekman numbers, and height/radius, respectively) is valid for merged, close and separate boundary layers on the disks.

TL;DR: In this paper, a general approach to overcoming the stiffness hazard is presented, which makes use of operator splitting techniques, the feature being that splitting of the chemical source terms themselves is permitted, with the aid of a new chemical splitting parameter.

TL;DR: In this paper, two variable time step methods, one due to Douglas and Gallie and the other proposed by the authors earlier, are presented in improved forms for an unconventional moving boundary problem, dissolution of a gas bubble in a liquid, is solved using these methods.

TL;DR: In this article, a conjugated problem of supersonic turbulent flow over a conductive solid wall with an embedded line heat source has been investigated as a model of a separation detector and skin friction gage.

TL;DR: In this paper, an iterative finite difference method, based on Picards approximations for the spatial derivatives of the governing equations, is used to obtain the streamline patterns of the fluid flow field in presence of a magnetic field.

TL;DR: In this article, a finite element-finite difference method for the solution of the boundary layer equations for developing flow between two parallel plates was presented, where the transverse flow direction was discretized with one-dimensional Hermite cubic finite elements and the axial flow direction with a backward finite difference approximation.

TL;DR: Two accurate methods for elimination of spurious oscillations of the numerical solution in the vicinity of contact discontinuities are proposed below.