Numerical Simulation of Compressible Euler Flows: A Gamm Workshop

ISBN-13: 9783528076269 / Angielski / Miękka / 1989 / 360 str.

Alain Dervieux;Etc.;Et Al

Opis

The numerical simulation of the Euler equations of Fluid Dynamics has been these past few years a challenging problem both for research scientists and aerospace engineers. The increasing interest of more realistic models such as the Euler equations originates in Aerodynamics and also Aerothermics where aerospace applications such as military aircrafts and also space vehicles require accurate and efficient Euler solvers (which can be extended to more complicated modelisations including non-equilibrium chemistry) for su personic and hypersonic flows at high angles of attack and Mach number regimes involving strong shocks and vorticity. This book contains the proceedings of the GAMM Workshop on the Numerical Simu lation of Compressible Euler Flows. that W: LS held at INRIA, Rocquencourt (France), on June 10-13, 1986. The purpose of this event was to compare in terms of accuracy and efficiency several codes for solving compressible inviscid, mainly steady, Euler flows. This workshop was a sequel of the GAMM workshop held in 1979 in Stockholm; this time, though, because of the present strong activity in numerical methods for the Euler equat.ions, the full-potential approach was not included. Since 1979, other Eulpr workshops have been organised, sev eral of them focussed on airfoil calculations; however, many recently derived methods were not presented at these workshops, because, among other reasons, the methods were not far enough developed, or had not been applied to flow problems of sufficient complexity. In fact, the 1986 GAMM workshop scored very high as regards to the novelty of methods."

Spis treści

Problems for analysis.- Problems for analysis.- Invited Survey Lectures.- The computation of steady solutions to the Euler equations: a perspective.- The International Vortex Flow Experiment: a test case for compressible Euler codes.- Contributing Papers.- Implicit Euler calculations using a Galerkin finite element approximation on adapted non-structured meshes.- Upwind second-order unsteady scheme.- Calculations of two-dimensional compressible Euler flows with a new Petrov-Galerkin finite element method.- Multigrid scheme for the Euler equations.- Computation of transonic steady f lows using a modified Lambda formulation.- Euler calculations by upwind finite element methods and adaptive mesh algorithms.- Computation of steady Euler equations using finite element method.- A non-linear multigrid method for the steady Euler equations.- Numerical solutions to the Euler equations for the 1986 GAMM workshop.- Implicit transonic calculations without artificial viscosity or upwinding.- Transonic airfoil and intake calculations.- A finite element scheme for the Euler equations.- A contribution to the numerical prediction of transonic flows.- Solution of compressible Euler flows using rational Runge-Kutta stepping scheme.- Implicit finitevolume algorithms for the flux-split Euler equations.- Workshop Analysis.- A short synthesis of the contributions.