Abstract
A new method for solving Navier-Stokes equations is introduced issued from an Euler solver ([1], [2], [4]). The spatial approximation is a Galerkin Finite Element Method which handles non-structured meshes. A pseudo unsteady approach is used in which the time stepping is a two step Lax-Wendroff explicit scheme.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Angrand F., Dervieux A., “Some explicit triangular finite element schemes for the Euler equations” in International Journal for Numerical Methods in Fluids, Vol. 4, 749–764 (1984).
Angrand F., Dervieux A., Boulard V., Periaux J., Vijayasundaram G., “Transonic Euler simulations by means of finite element explicit shemes” AIAA paper, 83–1924 (1983).
Lerat A., Peyret R., “Sur le choix de schémas aux différences du second ordre fournissant des profils de chocs sans oscillation” Comptes rendus Acad. Sc. Paris, Série A, 277, 363–366 (1973).
Billey V., “Résolution des équations d’Euler par des méthodes d’éléments finis, application aux écoulements 3-D de l’aérodynamique” Thèse Paris VI (1984).
Pouletty C., “Générations et optimisations de maillages en éléments finis par déformations et raffinements automatiques. Application à la simulation numérique de quelques phénomènes de l’Aérodynamique” Thèse de Docteur Ingenieur, Ecole Centrale, Dec. 85.
Palmerio B., “Self-Adaptative F.E.M. algorithms for the Euler equations” Rapport INRIA, N° 338 (1984).
Palmerio B., Billey V., Dervieux A., Periaux J., “Self adaptive mesh refinements and finite element methods for solving the Euler equations” Proceedings of the ICFD Conference on ‘Numerical methods for fluid dynamics’, Reading 1985.
Angrand F., Erhel J., “Vectorized finite element codes for compressible flows”. Proceedings of the 6th International Symposium Finite Element Methods in flow problems, Antibes juin 86.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
About this chapter
Cite this chapter
Angrand, F. (1987). Viscous Perturbation for the Compressible Euler Equations. Application to the Numerical Simulation of Compressible Viscous Flows. In: Bristeau, M.O., Glowinski, R., Periaux, J., Viviand, H. (eds) Numerical Simulation of Compressible Navier-Stokes Flows. Notes on Numerical Fluid Mechanics, vol 18. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87873-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-322-87873-1_4
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-08092-1
Online ISBN: 978-3-322-87873-1
eBook Packages: Springer Book Archive