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Showing papers in "Computers & Fluids in 1984"


Journal ArticleDOI
TL;DR: In this paper, the Navier-Stokes equations are solved using the difference scheme of Dennis and Hudson, and a solution to the resulting large system of algebraic equations is obtained using a Gauss-Seidel iteration technique.

37 citations


Journal ArticleDOI
TL;DR: In this paper, a numerical method for calculating incompressible viscous flows between two concentric rotating spheres is described, where the dependent variables describing the axisymmetric flow field are the azimuthal components of the vorticity, of the velocity vector potential and of the velocities.

30 citations


Journal ArticleDOI
TL;DR: In this article, the authors used a fully conservative form of the Osher upwind scheme to simulate inviscid flow fields with complex shock patterns, including quasi-one-dimensional nozzle flow, supersonic flow over a cylinder, and blast-wave diffraction by a ramp.

24 citations


Journal ArticleDOI
TL;DR: In this paper, a two-dimensional submerged jet impinging on a flat surface has been studied numerically and the transport equations were solved using hybrid differencing schemes (upsteam-weighted and upstream differenced schemes).

19 citations


Journal ArticleDOI
TL;DR: In this article, a method for the numerical solution of planar and axisymmetric Riabouchinsky cavity flows is described, where the problem is formulated as the minimization of a functional over a variable region, which is solved numerically by the method of variable finite elements.

17 citations


Journal ArticleDOI
TL;DR: In this article, an implicit finite-difference method is presented for obtaining steady-state solutions to the time-dependent, conservative Euler equations for flows containing shocks, using a two-point centraldifference scheme for flux derivatives with dissipation added at supersonic points via the retarded density concept.

15 citations


Journal ArticleDOI
TL;DR: In this article, the authors evaluate the effectiveness of several finite difference techniques in modeling unsteady homogeneous and heterogeneous flames in closed combustors and evaluate the relative efficiency and accuracy of each of the numerical techniques.

15 citations


Journal ArticleDOI
TL;DR: In this paper, a primitive variable finite element method for solving swirling incompressible flow problems is presented, and a flow problem of physical importance is analyzed and the results are critically compared with an earlier solution.

13 citations


Journal ArticleDOI
TL;DR: In this article, direct matrix inversion methods and conjugate gradient methods are compared with the FFT for speed when used in pseudo-spectral calculations and it is demonstrated that in some cases either of these methods is competitive with an FFT.

13 citations


Journal ArticleDOI
TL;DR: In this article, a finite-difference algorithm for computing the secondary flow field in a gas centrifuge is described, where the linearized axisymmetric Navier-Stokes equations in primitive variable form are solved by a time-marching technique.

13 citations


Journal ArticleDOI
TL;DR: In this paper, a potential theory approach for incompressible viscous flow which leads to the biharmonic equation is first developed, and a numerical least squares collocation technique using fundamental singular solutions of the BiHarm equation is then applied to a rotational flow problem with moving boundaries that produce discontinuous boundary conditions associated with the biHarmonic.

Journal ArticleDOI
TL;DR: In this paper, the Dorodnitsyn boundary layer formulation is combined with a modified Galerkin finite element formulation and an implicit, non-iterative marching scheme to generate a computational algorithm that is both accurate and very economical.

Journal ArticleDOI
TL;DR: In this article, the laminar boundary layer equations for the compressible flow due to the finite difference in rotation and temperature rates are solved for the case of uniform suction through the disk.

Journal ArticleDOI
TL;DR: In this paper, the Navier-Stokes equations were obtained using the vorticity stream function formulation and body fitted coordinate system, and the numerical method included a special force balance for the determination of the downstream boundary condition and a double sweep deferred correction which allowed a second order accuracy but with the stability properties of an upwind first order scheme.

Journal ArticleDOI
TL;DR: In this article, the authors examine two aspects of MHD generator analysis: the first concerns techniques for the solution of the set of MDP equations and their appropriate boundary conditions under the quasi-one-dimensional flow approximation, and the second is the approach required for satisfying the MDP generator design and performance objectives.

Journal ArticleDOI
TL;DR: In this article, a numerical method based on a complex potential formulation is developed for the computation on non-linear waves, which is applied to solve the problem of waves generated by a submerged doublet.

Journal ArticleDOI
TL;DR: In this paper, the authors presented the results of numerical simulation of Shikotan (Nemuro-Oki) tsunami of 17 June 1973 and computed mareograms at a number of points of the shoreline.

Journal ArticleDOI
TL;DR: In this article, a method based on a stream function calculation is discussed for porous dam problems, in which the position of the free boundary and the analytic form of the discharge are unknown, and the solutions obtained are compared with a variational inequality solution.

Journal ArticleDOI
G.A. Mohr1
TL;DR: In this paper, a finite element model for the analysis of two dimensional viscous flows is formulated using the virtual work method, in which integration by parts is applied to the continuity equation and a new approach is used for the convective inertia terms, giving a clearer interpretation of their effects which are distributed to both sides of the nonlinear recurrence relation.