摘要:

AbstractA class of vector‐parallel schemes for solution of steady compressible or incompressible viscous flow is developed and performance studies carried out. The algorithms employ an artificial transient treatment that permits rapid integration to a steady state. In the present work a four‐stage explicit Runge‐Kutta scheme employing variable local step size is utilized for the ODE system integration. The RK‐4 scheme is restructured to allow vectorization and enhance concurrency in the calculation for a streamfunction‐vorticity formulation of the flow problem. The parameters of the resulting RK scheme can be selected to accelerate convergence of the RK recursion. Four main procedures are considered which permit vector‐parallel solution: a Jacobi update, a hybrid of the Jacobi and Gauss‐Seidel method, red‐black ordering and domain decomposition. Numerical performance studies are conducted with a representative viscous incompressible flow calculation. Results indicate that a scheme involving domain decomposition with a Gauss‐Seidel type of update for the RK four‐stage scheme is most effective and provides performance in excess of 8 Gflo

ISSN:0271-2091    

DOI:10.1002/fld.1650210602

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

摘要:

AbstractThe impact of passage rotation on the gasdynamic wave processes is analyzed through a numerical simulation of ideal shock‐tube flow in a closed rotating‐channel containing a gas in an initial state of homentropic solid‐body rotation. Relevant parameters of the problem such as wheel Mach number, hub‐to‐tip radius ratio, length‐to‐tip radius ratio, diaphragm temperature ratio, and diaphragm pressure ratio are varied. It is shown that for a fixed geometry and initial conditions, the contact interface acquires a distorted three‐dimensional time‐dependent orientation at non‐zero wheel Mach numbers. At a fixed wheel Mach number, the level of distortion depends primarily on the density ratio across the interface and also the hub‐to‐tip radius ratio. The nature of the rarefaction and shock wave propagation is one‐dimensional, although the acoustic waves are diffracted due to the radially varying propagation speed. Under conditions of initially homentropic solid‐body rotation, a degree of similarity exists between rotating and stationary shock‐tube flows. This similarity is exploited to arrive at an approximate analytical solution to the Riemann pro

ISSN:0271-2091    

DOI:10.1002/fld.1650210603

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

摘要:

AbstractA method of solution for the two‐dimensional Navier‐Stokes equations for incompressible flow past a cylinder is given in which the euquation of continuity is solved by a step‐by‐step integration procedure at each stage of an interative process. Thus the formulation involves the solution of one first‐order and one second‐order equation for the velocity components, together with the vorticity transport equation. the equations are solved numerically byh4‐accurate methods in the case of steady flow past a circular cylinder in the Reynolds number range 10–100. Results are in satisfactory agreement with recenth4‐accurate calculations. An improved approximation to the boundary conditions at large distance i

ISSN:0271-2091    

DOI:10.1002/fld.1650210604

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

摘要:

AbstractThis paper is concerned with an investigation of artificial dissipation models that are used with the cell‐vertex finite volume approximation of the compressible Euler and Navier‐Stokes equations. Based on the observation that first and second‐order upwind schemes can be written as a central discretization plus an appropriately scaled dissipative flux, a matrix scaling of second and fourth‐differences is implemented in an artificial dissipation model that also uses a procedure to limit the applicability of shock‐capturing dissipation. Analysis of the model and the associated boundary conditions is given to determine the effect on accuracy. Numerical results are given for transonic Euler flow past a NACA0012 aerofoil profile which demonstrate the improved shock‐capturing capability of the model. Results for laminar subsonic viscous flow over a flat plate show that the matrix‐dissipation model reduces the amount of spurious artificial dissipation within bo

ISSN:0271-2091    

DOI:10.1002/fld.1650210605

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650210606

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650210601

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY