Showing papers in "Computers & Fluids in 1979"

TL;DR: In this article, a shallow water wave equation is developed from the primitive two-dimensional shallow water equation, and a finite element model based on this equation and the primitive momentum equation are developed.

TL;DR: A scheme for integrating the Euler equations of compressible flow in any hyperbolic case is presented in this paper, which relies on the concept of characteristics but is strictly a finite difference scheme.

TL;DR: In this article, the Galerkin finite element method and the Hermite cubic polynomials with a global coordinate transformation are used for viscoelastic fluid flow in a fixed geometry.

TL;DR: In this paper, an alternative semi-implicit formulation in the time domain, which retains most of the economical advantages of the leapfrog scheme, was developed and tested, and a significant reduction in the mode-to-node oscillations and improved agreement with analytical solutions were obtained.

TL;DR: In this paper, the Navier-Stokes equations in the form of a single, fourth order equation for stremfunction are recast into arestricted variational principles, which form finite element discretization.

TL;DR: In this article, the die swell problem is solved for Newtonian and viscoelastic fluids using Galerkin and collocation Finite Element Methods and the role of natural boundary conditions is compared to the pointwise satisfaction of boundary conditions in the collocation method.

TL;DR: A package of FOTRAN IV subroutines for the out-of-core assembly and solution of a system of linear equations with a non-symmetric coefficient matrix, as met in many finite element applications.

TL;DR: In this paper, a variational principle for steady free-surface flows under the influence of gravity is derived, where the stream function within the flow and the free surface elevation are independently subjected to variation.

TL;DR: In this article, a method for integrating the Euler equations of gas dynamics for compressible flows in any hyperbolic case is presented, which is applied to the Mach number distribution over a stretch of an infinite duct having a variable cross section, and to the distribution in a channel opening into a vacuum.

TL;DR: In this article, a refined solution for the analysis of viscous, incompressible, steady flow between two rotating spheres is presented, which allows the use of small grid spacing and thus yields improved accuracy.

TL;DR: In this paper, the singularity is used to calculate the potential flow about an arbitrary body shape by means of a spline fit function, and the distribution is computed as a solution of Fredholm integral equation.

TL;DR: In this article, a very fast Alternating Direction Implicit finite difference approach is used to solve the Interacting Boundary Layer approximation to the Navier Stokes equations in a conformal plane.

TL;DR: In this paper, the numerical solution of Navier-Stokes problems in a stenosed tube is determined by three approaches: (1) a conformal mapping followed by an explicit march; (2) a numerical mapping, followed by a time independent approach; (3) an implicit march, which converges to an incorrect solution unless care is exercised at the boundary.

TL;DR: In this article, the authors developed a method to obtain the numerical solution of the problem of recirculating flow between shrouded rotating disks, which is applicable to any problem which has similar equations of motion.

TL;DR: In this article, it is shown that the width of a smeared shock wave zone reaches its minimum at some non-zero inclination angle of the velocity vector with respect to the x-axis in the smeared shock wave.

TL;DR: In this paper, a two-step Lax-Wendroff difference method with second order accuracy is used to seek solutions of the unsteady magnetohydrodynamic (MHD) equations for the study of an explosion in a non-homogeneous medium with and without magnetic fields.

TL;DR: In this paper, a highly accurate approximate solution of the Stokes equation for low-Reynolds number flow in a cylindrical cavity with a uniformly translating wall is derived, where the solution is split into two parts: an asymptotic expansion near the corners containing singularities, and a remaining problem for homogeneous boundary conditions by means of a variational method.

TL;DR: In this article, a nonlinear mathematical model for the propagation of tides in interlacing channels is presented with the help of a high speed digital computer using the explicit finite difference method with leap-frog operator.

TL;DR: In this paper, a cylindrical container of variable aspect ratio is studied for one value of the Reynolds number and velocity and pressure profiles corresponding to four configurations of the cylinder are given Secondary volumetric flow rates and torque coefficients are evaluated too.

TL;DR: In this paper, a numerical technique for calculating the quasi-one-dimensional steady flow of a viscous heat conducting compressible fluid, with allowance for wall friction and external heat transfer, is discussed.

TL;DR: Averaging of solutions of the Dirichlet and Neumann problems is used to eliminate primary open boundary reflections for the simulation of the November 29, 1975 island of Hawaii tsunami.

TL;DR: In this paper, a numerical investigation of the mechanics of deposition with gravitational and electrostatic influences in a diffuser has been made and a mathematical model developed for the deposition process is presented.