Showing papers in "Computers & Fluids in 1973"

TL;DR: In this paper, two methods of finite element discretisation are presented, and a comparison of the effeciency of the methods associated with the solution of particular problems is made.

TL;DR: In this article, a numerical method for the solution of the Navier-Stokes equations is developed using an integro-differential formulation of the equations, which permits the actual computation to be confined to the viscous region of the flow and offers a drastic reduction in the number of data points required in the numerical procedure.

TL;DR: In this article, a semi-analytical method of series truncation is used to express the stream function and the vorticity in a finite Fourier series and the resulting nonlinear equation are solved unsing Newton's method.

TL;DR: In this article, a numerical analysis of viscous flow over a slender cone at moderate incidence is presented; α/θ ≤ 2, where α is the angle of attack and θ is the half-cone vertex angle.

TL;DR: In this article, the authors examined axisymmetric flow of a rotating stream numerically to determine conditions under which an isolated eddy will form on the axis of rotation and provided details of the flow structure and were presented for a range of Reynolds numbers and swirl ratios.

TL;DR: In this article, an iteration method for solving the implicit difference equations associated with three nonlinear parabolic differential equations is derived and analyzed, and the method is applied to the high Reynolds number viscous flow around a cone at high angle of attack.

TL;DR: In this paper, an accurate and efficient numerical procedure to compute the supersonic inviscid flow field about complicated three-dimentional aircraft configurations is described and the technique works in a practical case.

TL;DR: In this paper, an explicit-implicit time-dependent finite difference technique is presented which has been successfully implemented for the solution of the unsteady Navier-Stokes equations including multicomponent finite rate chemistry.

TL;DR: In this paper, the Navier-Stokes equations and the continuity equation were simplified in terms of vorticity and stream function, and the instantaneous acceleration of the falling sphere was calculated by considering the difference between the gravitational force and the drag force in a transient state.

TL;DR: In this paper, the governing equations for a laminar flow are solved in terms of an orthogonal surface coordinate system, where one of the coordinate is determined by the intersection with the body surface of meridional planes which pass through an axis containing the stagnation point.

TL;DR: In this paper, the Navier-Stokes equations are expressed in terms of tangential velocity, vorticity and stream function, and the transformed equations are solved using an alternating direction implicit scheme.

TL;DR: In this paper, the Navier-Stokes equations for flow past a paraboloid of revolution are solved using the ideas of van de Vooren and collaborators, and the flow field has been computed for a large range of Reynolds numbers.

TL;DR: The discontinuous function frequently employed for describing the target molecules' velocity distribution is replaced here by a continuous analytic function, the form of calculations, which simplifies the calculations, reduces the computer storage requirements, and facilities the application of the method to multi-dimensional problems.

TL;DR: In this article, a contrived transient version of the steady-state problem is constructed by appending time derivatives to all the participating equations, regardless of whether or not such terms have physical reality.

TL;DR: In this paper, the authors applied the finite element method to the analysis of the wind-driven circulation of variable-depth, shallow, homogenous lakes, focusing upon higher-order description of the flow phenomena within the individual elements and upon the use of these higher order functions in the definition of curved element boundaries (isoparametric elements).

TL;DR: In this article, numerical solutions for both the nonlinear Boltzmann equation (for two collision laws) and the Krook equation for a one-dimensional evaporation-condensation problem for a range of parameters were obtained.

TL;DR: In this paper, an anlysis of Burger's equation for weak wave propagation is made in order to establish the nature of the cell scheme for both constant cell properties and for linear variation of cell properties.

TL;DR: In this article, numerical solutions for the laminar, compressible, three-dimensional boundary layer on general, sharp bodies of revolution at angle of attack with moderate axial spin are described.

TL;DR: In this article, the AFTON 2A code was used to solve the time-dependent Navier-Stokes equations for systems with axial symmetry and mass injection, and it was shown that plume-shock and dividing-streamline radii are consistent with the inviscid scaling law.

TL;DR: In this article, a numerical study of vertical momentum jets and forced plumes issuing to similar receiving media is presented, where the complete partial differential equations governing steady, incompressible, turbulent flow are solved in axisymmetric coordinates using finite-difference techniques.

TL;DR: In this paper, the effect of changes in body geometry on the radiative energy transfer to the surface was investigated and a first-order gradient algorithm was applied to the system describing the state of the shock layer gas using body surface curvature as the control variable.

TL;DR: In this paper, the authors analyzed the unsteady constant-property uniform pressure flow of a viscous laminar axisymmetric jet into stationary surroundings with the aid of the boundary layer approximations and an integral method.

TL;DR: In this paper, a system of computer programs was developed to predict supersonic inviscid and viscous non-uniform flow fields over sharp and spherically blunted cones at angle of attack.

TL;DR: The sensitivity of the numerical solution of the nonlinear three-fluid equations governing the effect of forcing a time dependent disturbance at a point in a plasma is investigated in this paper, where only certain variables may be prescribed as functions of time at x = 0, where these specified functions must satisfy certain compatibity conditions.