Showing papers in "Computers & Fluids in 1981"

TL;DR: In this article, the Galerkin finite element method is employed to approximate the solution of certain partial differential equations and it is argued that there is an important message behind these wiggles and that the appropriate response to it usually involves a combination of: re-examination of the imposed boundary conditions, judicious mesh refinement (via isoparametric elements) in critical areas, and sometimes even admitting that the problem, as posed, is just too difficult to solve adequately on an “affordable” mesh.

TL;DR: In this article, a systematic study of inflow and outflow boundary conditions for numerical solution of the compressible Navier-Stokes equations is presented, where several representative inflow boundary conditions are applied in the solution of subsonic flow over a flat plate in a finite computational domain.

TL;DR: In this article, a computer-based numerical procedure is used to perform aeroelastic time response analysis of thin airfoils oscillating with single and two d.o.s.

TL;DR: Stone's unconditionally stable, strongly implicit numerical method is extended to the 2 x 2 coupled vorticity-stream function form of the Navier-Stokes equations as mentioned in this paper, which allows for complete coupling of the boundary conditions.

TL;DR: In this paper, a semi-analytic technique is used to derive the Navier-Stokes equations in the neighborhood of sharp corners where a sliding wall meets a stationary wall and causes a mathematical singularity.

TL;DR: In this paper, a quantitative evaluation for the penalty function finite element method for two-dimensional viscous incompressible flow using primitive variables is made, using bilinear and biquadratic elements.

TL;DR: In this paper, the Navier-Stokes equations were used to describe the flow around an impulsively started elliptic cylinder at 0, 30, 45 and 90° incidence.

TL;DR: In this paper, the authors developed a reduced form of the Navier-Stokes equations that is regular at the separation point, and the resulting formulation is a semi-elliptic model comprised of the parabolized momentum equations together with an elliptic equation for the pressure distribution.

TL;DR: In this paper, a strongly implicit pre-conditioned form of the conjugate gradient method is considered for sparse systems of difference equations arising from boundary value problems and the resulting iterative technique is used to solve two-and three-dimensional potential flows.

TL;DR: In this paper, the effect of using upwind elements is investigated and the results are compared with published experimental and numerical data using the finite element method and a one equation model used for the turblent flow analysis.

TL;DR: In this article, the Galerkin-weighted residuals formulation is employed to derive an implicit finite element solution algorithm for a generally non-linear initial-boundary value problem, which is quantized in several error norms, for the nonlinear parabolic partial differential equation system governing laminar boundary layer flow.

TL;DR: In this paper, the authors developed a 2nd order finite difference approximation to the Navier-Stokes equations governing flow of an incompressible fluid in a closed cavity, leading to a system of equations that has proved to be very stable.

TL;DR: The singularity-separating difference method developed by the authors in China is described: the outline of this method and the theoretical results about stability of the method are given as discussed by the authors. And a series of results obtained by using this method is presented.

TL;DR: In this paper, a Chebyshev expansion approach is employed to solve the one dimensional compressible flow equations for flows with large gradients, and a technique for controlling oscillations is presented.

TL;DR: In this paper, the boundary layer form of the Navier-Stokes equations with coupled chemistry is solved for a compressible, viscous and axisymmetric flow and an implicit finite difference method is used in the solutions.

TL;DR: In this article, the authors presented numerical calculations for two jet induced three-dimensional flows in rectangular enclosures using a two-equation model, which incorporates governing equations for kinetic energy of turbulence and its rate dissipation.

TL;DR: In this article, a sharp discontinuity tracking method which explicitly follows the surfaces of discontinuity has been developed for explosion dynamics problems in one and two space dimensions, which is applied to explosion problems in several space dimensions.

TL;DR: In this article, the slip boundary condition was examined to find its influence on the solution of flow problems when there is a rotational body force field and two specific examples are considered having different force distributions that are generated electromagnetically.

TL;DR: In this article, a velocity-pressure formulation of the Navier-Stokes equations is presented for a 2D unsteady flow on a flat plate at large Reynolds numbers.

TL;DR: In this paper, three different kinds of integral approaches are detected and described, while their connection with the variational formulations of the original wave-induced oscillations in a harbor is also illustrated.

TL;DR: In this paper, the evolution of a round turbulent jet is simulated numerically under the constraint of axial symmetry, where vortex sheet shed from the orifice is represented by vortex ring elements, with a velocity field cut-off to control close encounters.

TL;DR: In this article, numerical solutions of boundary layer like equations are presented for steady, axisymmetric swirling flows in a pipe; the fluid is incompressible, and the solutions were in qualitative agreement, over some axial distance, with earlier Navier-Stokes calculations obtained by the authors.

TL;DR: In this paper, the Fourth-Order Newton (FON) method was used to solve the finite-difference formulation of the Navier-Stokes equations in an iterative Newton scheme.

TL;DR: In this paper, it is shown that the absence of K- consistence gives rise to parasitic oscillations of the numerical solution in the contact strip, which is the first differential approximation of a contact strip.

TL;DR: In this paper, a finite element analysis and iterative solution of steady plane inviscid compressible flows is developed, with specific attention to subcritical flows in which the nonlinear governing equation is elliptic, and to slightly supercritical mixed flows.

TL;DR: In this paper, stationary inviscid transonic supersonic flow fields around sphrese, ellipsoids, and hemispherecylinders are calculated and the integration of the governing equations is carried out by means of a time-dependent finite-difference procedure.

TL;DR: The uniqueness of the problem for a model equation is proved in this paper, where it is shown that the outflow surface in the boundary layer on the plate is absent at the cylinder rotation.

TL;DR: In this paper, a simplified physical model was constructed which simulates the viscous crossflow in a fluid layer near the slots at a fixed streamwise location in a slotted wind tunnel.

TL;DR: In this paper, the authors considered Harlow's particle-in-cell method modification which consists in the use of finite-size particles for two-dimensional gasdynamics computations.