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Implicit schemes for unsteady Euler equations on triangular meshes

✍ Scribed by A. S. Sens; G. D. Mortchelewicz


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
861 KB
Volume
18
Category
Article
ISSN
0271-2091

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✦ Synopsis


Abstract

An implicit finite element method is presented for the solution of steady and unsteady inviscid compressible flows on triangular meshes under transonic conditions. The method involves a first‐order time‐stepping scheme with a finite element discretization that reduces to central differencing on a rectangular mesh. On a solid wall the slip condition is prescribed and the pressure is obtained from an approximation of the normal momentum equation. With this solver no artificial viscosity is added to ensure the success of the calculation. Numerical examples are given for steady and unsteady cases.


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✍ Hester Bijl; Mark H. Carpenter; Veer N. Vatsa; Christopher A. Kennedy πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 157 KB

The accuracy and efficiency of several lower and higher order time integration schemes are investigated for engineering solution of the discretized unsteady compressible Navier-Stokes equations. Fully implicit methods tested are either the backward differentiation formulas (BDF) or stage-order two,