Showing papers in "Computers & Fluids in 1975"

TL;DR: In this paper, a cubic spline approximation is used for the solution of several problems in fluid mechanics, including the Burgers' equation, the diffusion equation and the vorticity-stream function system describing viscous flow in a driven cavity.

TL;DR: In this paper, the Adams-Moulton multi-step predictor corrector process, the trapezoidal finite difference integration scheme, and the finite element in time were used to predict long wave forms in rectangular channels.

TL;DR: In this paper, three iterative methods for numerically solving the steady-state Navier-Stokes equations are presented, i.e., the Laplacian Driver (LAD), the Numerical Oseen (NOS), and the Split NOS method.

TL;DR: In this article, the Navier-Stokes equations are approximated by a triple sequence of linear problems, each of which has a diagonally dominant coefficient matrix, and a new numerical method, developed for the study of secondary flow in a curved tube, is adapted and extended to the case of viscous, incompressible, steady flow between two rotating spheres.

TL;DR: The Biharmonic Driver (BID) method as mentioned in this paper uses direct (non-iterative) linear biharmonic solvers to obtain solutions to the nonlinear two-dimensional steady-state incompressible Navier-Stokes equations.

TL;DR: In this paper, a model is proposed to describe the operating characteristics of the impulsive water cannon and the important parameters governing the system dynamics are identified and the influence of these on performance is studied with the aid of a unique " 1 1 2 D " finite-difference code.

TL;DR: In this article, the unsteady free-surface flow of a Newtonian fluid issuing vertically upwards from a tube in the base of a vertical cylindrical cavity was studied.

TL;DR: In this paper, the flow over a flat plate delta wing at incidence and yaw is studied using a vortex-sheet model and the results predicted by this linear model compare favourably with those from a further numerical study which indicates that the non-linear behaviour is similar to that of a flat wake and confirms the asymptotic nature of the linear model.

TL;DR: In this paper, a procedure for analyzing the unsteady flow of gas-particle suspensions, based on the Particle-In-Cell (PIC) method, is presented.

TL;DR: In this paper, the flow of a fluid of second grade in a square cavity is studied with the help of finite difference equations, and convergence is obtained by seeking after the dominance of the main diagonal of the system.

TL;DR: In this paper, an integration algorithm is presented for the numerical solution of a linear, sixth-order eigenvalue problem that is associated with hydrodynamic stability of viscous flow between rotating planes.

TL;DR: In this article, three types of spline representations were investigated using both collocation and integral methods of solution, and the B-spline basis was concluded to be superior when used in collocation methods.

TL;DR: In this paper, the external velocity distribution on a two-dimensional body in an incompressible boundary-layer flow for a specified wall shear was considered, which leads to an overdetermined boundary-value problem for a partial differential equation containing the edge velocity as an unknown parameter.

TL;DR: In this paper, a new approach to the numerical solution of combined convective and diffusive mass, momentum, and energy transport problems is described based on the definition of a mixed elliptic-parabolic transport equation which provides an accurate description of the field everywhere in the domain.

TL;DR: In this article, a new technique was developed for the presentation of data obtained in 3D finite difference calculations, which consists of an especially simple and efficient method for the generation of perspective pictures with hidden lines removed.

TL;DR: In this paper, a general solution for a two-dimensional nonsymmetric parabolic partial differential equation is obtained using the Galerkin method in which the weighting function is taken equal to the shape function defining the dependent variable approximation.

TL;DR: In this article, the performance of axial-flow cascades is analyzed using existing computer programs for analyzing axial flow cascades and the results are validated by comparing the analytical results for three low-speed compressor, five lowspeed turbine and two high-subsonic turbine cascades with the corresponding experimental data.