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present real-gas Lagrangian approach, including complex wave interactions of different types. The accuracy for capturing 2D oblique waves and slipline is clearly demonstrated. In addition, we also show the real-gas effect in a generic engine nozzle. In this article we give a comparative discussion of the finite element approximation of two partial differential equation problems. These two problems which are apparently quite unrelated are the Stokes problem for incompressible viscous flow and an exact boundary controllability problem for the wave equation. We show that straightforward discrete approximations to these problems yield approximate problems which are ill-posed. The analysis of the ill-posedness of the above problems shows an identical cause, namely the strong damping of the high frequency modes, beyond a critical wave number. From this analogy, a well-known cure for the discrete Stokes problem, i.e., using more accurate approximations for velocity than for pressure, provides a simple way to elimi:\_,ate the ill-posedness of the discrete exact boundary controllability problem. Numerical examples concerning the control problem testify about the soundness of the new approac

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Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)

Published

1992

Language

EN

Field

Engineering (Physical Sciences)