[PDF] On Solving The Compressible Navier Stokes Equations For Unsteady Flows At Very Low Mach Numbers eBook

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Numerical Simulations Of Incompressible Flows

Mohamed M Hafez
Numerical Simulations Of Incompressible Flows by Mohamed M Hafez PDF

Author : Mohamed M Hafez
Publisher : World Scientific
Page : 708 pages
File Size : 30,32 MB
Release : 2003-01-23
Category : Mathematics
ISBN : 9814486396

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This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.

Analytical Solutions for the Unsteady Compressible Flow Equations Serving as Test Cases for the Verification of Numerical Schemes

S. Tsangaris
Analytical Solutions for the Unsteady Compressible Flow Equations Serving as Test Cases for the Verification of Numerical Schemes by S. Tsangaris PDF

Author : S. Tsangaris
Publisher :
Page : 20 pages
File Size : 41,91 MB
Release : 2000
Category :
ISBN :

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The verification of numerical schemes for solving the equations of inviscid and viscous compressible unsteady flow equations is limited to a small number of analytical solutions of the equations governing the one-dimensional unsteady flow including moving discontinuities. Among them the most important were given first by B Riemann (1859.1860) and later by W.J.M RanKine (1870), P.H. Hugoniot (1887), Lord Rayleigh (1910) and GI. Taylor (1910). The scope of the present chapter is to overview the analytical solutions, serving as test case for the accuracy of the numerical schcmes. It is worth noting that the analytical solutions are of importance for Euler and Navier-Stokes equations for laminar flow and does not give any indication for the behaviour of the numerical schemes in the prediction of turbulent flows. For each analytical solution a corresponding FORTRAN program is attached.