[PDF] Steady And Unsteady Internal Flow Computations Via The Solution Of The Compressible Navier Stokes Equations For Low Mach Numbers eBook

Author : Marie Odile Bristeau
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 17,72 MB
Release : 2013-03-08
Category : Technology & Engineering
ISBN : 3322878732

GET BOOK

With the advent of super computers during the last ten years, the numerical simulation of viscous fluid flows modeled by the Navier-Stokes equations is becoming a most useful tool in Aircraft and Engine Design. In fact, compressible Navier-Stokes solvers tend to constitute the basic tools for many industrial applications occuring in the simulation of very complex turbulent and combustion phenomena. In Aerospace Engineering, as an exemple, their mathematical modelization requires reliable and robust methods for solving very stiff non linear partial differential equations. For the above reasons, it was clear that a workshop on this topic would be of interest for the CFD community in order to compare accuracy and efficiency of Navier-Stokes solvers on selected external and internal flow problems using different numerical approaches. The workshop was held on 4-6 December 1985 at Nice, France and organized by INRIA with the sponsorship of the GAMM Committee on Numerical Methods in Fluid Mechanics.

Author : National Aeronautics and Space Adm Nasa
Publisher :
Page : 110 pages
File Size : 27,38 MB
Release : 2018-11-07
Category :
ISBN : 9781730986840

GET BOOK

Computations of viscous-inviscid interacting internal flowfields are presented for steady and unsteady quasi-one-dimensional (Q1D) test cases. The unsteady Q1D Euler equations are coupled with integral boundary-layer equations for unsteady, two-dimensional (planar or axisymmetric), turbulent flow over impermeable, adiabatic walls. The coupling methodology differs from that used in most techniques reported previously in that the above mentioned equation sets are written as a complete system and solved simultaneously; that is, the coupling is carried out directly through the equations as opposed to coupling the solutions of the different equation sets. Solutions to the coupled system of equations are obtained using both explicit and implicit numerical schemes for steady subsonic, steady transonic, and both steady and unsteady supersonic internal flowfields. Computed solutions are compared with measurements as well as Navier-Stokes and inverse boundary-layer methods. An analysis of the eigenvalues of the coefficient matrix associated with the quasi-linear form of the coupled system of equations indicates the presence of complex eigenvalues for certain flow conditions. It is concluded that although reasonable solutions can be obtained numerically, these complex eigenvalues contribute to the overall difficulty in obtaining numerical solutions to the coupled system of equations. Swafford, Timothy W. and Huddleston, David H. and Busby, Judy A. and Chesser, B. Lawrence Unspecified Center COMPUTATIONAL FLUID DYNAMICS; FLOW DISTRIBUTION; MACH NUMBER; NAVIER-STOKES EQUATION; NUMERICAL ANALYSIS; SUBSONIC FLOW; SUPERSONIC FLOW; TRANSONIC FLOW; UNSTEADY FLOW; VISCOUS FLOW; ADIABATIC CONDITIONS; AXISYMMETRIC FLOW; BOUNDARY LAYERS; EULER EQUATIONS OF MOTION; INTEGRAL EQUATIONS; INVISCID FLOW; TURBULENT FLOW; WALL TEMPERATURE...