Abstract
The time-dependent formulation is most often used to compute steady state solutions to the Euler equations. There are several mechanisms that drive the solution to a steady state. Here we shall concentrate on the dissipation effect due to the boundary conditions, and not to the effect of artificial viscosity. Therefore we shall study hyperbolic partial differential equations where the boundary effects are dominant. The results are also valid for more general classes of differential equations of essentially hyperbolic character, as for example the Navier-Stokes equations for high Reynolds numbers. The study is mathematical, much of it repeated from Ref. 1.
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© 1992 Springer Fachmedien Wiesbaden
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Eberle, A., Rizzi, A., Hirschel, E.H. (1992). Convergence to Steady State. In: Numerical Solutions of the Euler Equations for Steady Flow Problems. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-06831-0_7
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DOI: https://doi.org/10.1007/978-3-663-06831-0_7
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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Online ISBN: 978-3-663-06831-0
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