摘要:

AbstractNewton's method and banded Gaussian elimination can be a CPU efficient method for steady‐state solutions to two‐dimensional Navier–Stokes equations. In this paper we look at techniques that increase the radius of convergence of Newton's method, reduce the number of times the Jacobian must be factored, and simplify evaluation of the Jacobian. The driven cavity and natural convection problems are used as test problems, and finite volume discretization is emp

ISSN:0271-2091    

DOI:10.1002/fld.1650170602

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

摘要:

AbstractA direct streamline upwind method has been developed for convection‐dominated flow problems utilizing quadratic elements. The approach presented retains the curve‐sidedness feature offered by these elements. This facilitates the use of boundary conforming elements in domains that possess extreme curvature such as turbomachinery bladed components, for which the method is particularly suited. Three test cases are solved to evaluate the stability and diffusive characteristics of the numerical solution. The results presented clearly demonstrate that the proposed method does not exhibit any non‐physical spatial oscillations, nor does it suffer from the traditional problem of excessive numerical diff

ISSN:0271-2091    

DOI:10.1002/fld.1650170603

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

摘要:

AbstractThis work is devoted to the numerical solution of the Navier–Stokes equations for compressible viscous fluids. Finite element approximations and stabilization techniques are addressed. We present methods to implement discontinuous approximations for the pressure and the density. An upwinding methodology is being investigated which combines the ideas behind the stream line Petrov–Galerkin method and the flux limiter methods aiming to introduce numerical diffusion only where it is necess

ISSN:0271-2091    

DOI:10.1002/fld.1650170604

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

摘要:

AbstractA detailed case study is made of one particular solution of the 2D incompressible Navier–Stokes equations. Careful mesh refinement studies were made using four different methods (and computer codes): (1) a high‐order finite‐element method solving the unsteady equations by time‐marching; (2) a high‐order finite‐element method solving both the steady equations and the associated linear‐stability problem; (3) a second‐order finite difference method solving the unsteady equations in streamfunction form by time‐marching; and (4) a spectral‐element method solving the unsteady equations by time‐marching. The unanimous conclusion is that the correct solution for flow over the backward‐facing step atRe= 800 is steady—and it is stable, to both smal

ISSN:0271-2091    

DOI:10.1002/fld.1650170605

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650170601

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY