Numerical Analysis for Compressible Viscous Isothermal Stationary Flows

Autor: M. O. Bristeau, C. Bernardi, O. Pironneau, M. G. Vallet
Rok vydání: 1991
Předmět:
Zdroj: Applied and Industrial Mathematics ISBN: 9789401073516
DOI: 10.1007/978-94-009-1908-2_17
Popis: In this paper we address the problem of approximation of viscous compressible flows by the finite element method: should one use the same approximation for the density and the velocity as in Euler flows or should one use two different spaces as for the Stokes problem? When the pressure is a function of the density (isothermal flow as an academic example) we show theoretically and numerically convergence of the approximations if the density and the velocity are approximated as in the Stokes problem with two different grids or if artificial viscosity is used in the equation of conservation of mass.
Databáze: OpenAIRE