Showing papers in "Computers & Fluids in 1985"

TL;DR: In this article, the authors compared fourth order accurate methods of mehrstellen type with second-order accurate methods for the solution of the unsteady incompressible Navier-Stokes equations in their vorticity stream function formulation.

TL;DR: In this paper, the results of experimental and numerical investigations of laminar flow in a pipe with a sudden contraction in its cross sectional area were summarized in order to gain an insight into the flow structure near the sudden contraction and an understanding of increased pressure losses generated in this region.

TL;DR: The convergence is assessed of multistage algorithms which are of Runge-Kutta type, and are stable for larger time steps, and a six-stage algorithm is found to be best.

TL;DR: In this article, a finite difference computer model for laminar flow in an axisymmetric sudden expansion was used to make heat or mass transfer rate predictions, and the structure of the recirculation zone and the distribution of mass transfer ratio downstream of the expansion were calculated as functions of Reynolds number, inlet velocity profile, geometry and Schmidt number.

TL;DR: In this paper, a partially parabolic procedure is developed to analyze three-dimensional viscous flows through curved ducts of arbitrary cross-section, eventually aimed at centrifugal impeller analysis, incorporating a finite volume method using a strong conservation form of the parabolized Navier-Stokes equations written in arbitrary curvilinear coordinates.

TL;DR: In this article, the Navier-Stokes equations in both the vorticity-stream function and the Vorticityvelocity formulation were solved by Chebyshev expansion methods.

TL;DR: In this article, a fluxdifference splitting method has been proposed for the numerical solution of hyperbolic problems and successfully implemented for unsteady flows for two-dimensional or axisymmetric steady supersonic flows.

TL;DR: In this article, an explicit expression for ∂p/∂x (x, 0) can be obtained by integration of the momentum equation for the radial velocity component with respect to the radial and subsequent differentiation of the integral with respect in the axial direction.

TL;DR: In this paper, the parabolized Navier-Stokes (PNS) equations are used to calculate the flow-field characteristics about the hypersonic research aircraft X-24C.

TL;DR: In this paper, the effects of false diffusivities in suppressing the physics of the flow is shown. But the effect of the false diffusion on the physics is not discussed, except for the case of turbulent jets issuing at right angles to a nearly uniform cross-stream.

TL;DR: In this paper, a new numerical iteration scheme for solving the parabolized Navier-Stokes (PNS) equations is presented, which has all the features and advantages of the successive line over relaxation (SLOR) technique and thus it can be easily accelerated to get much higher rate of convergence of the global iteration scheme than previously suggested schemes.

TL;DR: A numerical method involving cubic splines is used to solve the classical problem of natural convection in cavities as mentioned in this paper, which allows the reduction of the usual block-tridiagonal matrix to three tridiagonal ones.

TL;DR: For the primitive variable case, alternative choices of the viscous stress term are shown to produce natural boundary conditions which are well suited for matching to various far field conditions as mentioned in this paper, and an optical algorithm for pressure recovery as well as treatment for multiply connected domains are given.

TL;DR: In this article, a numerical technique to solve the Euler equations for steady, one dimensional flows is presented, which is essentially implicit, but is structured as a sequence of explicit solutions for each Riemann variable separately.

TL;DR: In this paper, the authors generalized the implicit lambda scheme for the cases of quasi-one-dimensional flows and 2D flows past thin airfoils to arbitrary two-dimensional geometries, starting from the time-dependent Euler equations in vector form, simplified by assuming homentropic flow conditions.

TL;DR: In this paper, the exact wind tunnel wall interference effects on lifting and non-lifting bodies are computed by a panel method using linearly varying vortex distributions, which is regarded as an exact numerical method.

TL;DR: In this article, the authors apply entropy corrections to full potential supersonic conical flows that have the how shock fit as a boundary, and apply the Rankine-Hugoniot shock relations instead of the isentropic shock conditions.

TL;DR: In this paper, a review of advances and advances in numerical fluid dynamics with emphasis on physical aspects in preference to methodical questions is presented, where the governing equations of fluid dynamics, describing the conservation of mass, momentum, and energy are discussed first.

TL;DR: In this paper, a numerical method is presented to deal with the propagation of surface water waves in the framework of the linear theory for an inviscid fluid, which is based on a finite element scheme, in which the element matrices are computed by a series expansion technique.

TL;DR: In this paper, an axisymmetric slender body and a thin airfoil are calculated using a uniform perturbation method and then compared with either the exact analytical solution or the solution obtained using a purely numerical method.

TL;DR: In this paper, the authors simulated the vortex growth in a two-dimensional jet by solving numerically full Navier-Stokes equations with primitive variables and visualized the streakline structures with marker particles.

TL;DR: In this article, the authors used least squares polynomial approximations of wall shapes to estimate wall vorticities and measured shear rates from laboratory experiments and found that these two quantities would be proportional in the same dimensionality, and that useful data can be obtained from two-dimensional calculations of three-dimensional phenomena.

TL;DR: In this article, the singularity-separating method for discontinuous initial value problems for nonconvex quasilinear equations has been discussed and several examples have been successfully solved.

TL;DR: In this article, the authors applied C1 cubic Hermite polynomials embedded in an orthogonal collocation scheme to the spatial discretization of the unsteady nonlinear Burgers equation as a model of the equations of fluid mechanics.

TL;DR: In this article, the effects of changes in model constants and in grid-point resolution were examined using a low-resolution three-dimensional numerical model with subgrid-scale closure.

TL;DR: In this article, the authors used the λ-scheme as the basuc integration method to compute the inviscid, chemically reacting flow of a supersonic jet.

TL;DR: In this article, the asymmetry in the structure of the eddies in the region close to a sharp corner is analyzed analytically for moderate values of the Reynolds number and a comparison is given with previous numerical studies.

TL;DR: In this article, the authors evaluate the circulation from numerical solutions of the momentum and energy equations for incompressible and compressible flows and show how artificial damping directly influences the time rate of change of the circulation.

TL;DR: In this paper, the crossflow shock is fitted for the first time in potential flow as an internal boundary, and all shocks are implicitly fit making the computation fully conservative, and the full potential equation is solved implicitly for supersonic conical flows with the bow shock fitted as an external boundary.