Ebook: Numerical Simulation of Compressible Euler Flows: A GAMM Workshop
- Tags: Engineering Fluid Dynamics, Numerical and Computational Physics, Simulation and Modeling, Physics general
- Series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design 26
- Year: 1989
- Publisher: Vieweg+Teubner Verlag
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages I-VIII
Problems for Analysis....Pages 1-20
The Computation of Steady Solutions to the Euler Equations: A Perspective....Pages 21-38
The International Vortex Flow Experiment: A Test Case for Compressible Euler Codes....Pages 39-53
Implicit Euler Calculations Using a Galerkin Finite Element Approximation on Adapted Non-Structured Meshes....Pages 54-75
Upwind Second-Order Unsteady Scheme....Pages 76-87
Calculation of Two-Dimensional Compressible Euler Flows with a New Petrov-Galerkin Finite Element Method....Pages 88-104
Multigrid Scheme for the Euler Equations....Pages 105-121
Computation of Transonic Steady Flows Using a Modified Lambda Formulation....Pages 122-137
Euler Calculations by Upwind Finite Element Methods and Adaptive Mesh Algorithms....Pages 138-156
Computation of Steady Euler Equations Using Finite Element Method....Pages 157-174
A Non-Linear Multigrid Method for the Steady Euler Equations....Pages 175-196
Numerical Solutions to the Euler Equations for the 1986 Gamm Workshop....Pages 197-226
Implicit Transonic Calculations without Artificial Viscosity or Upwinding....Pages 227-250
Transonic Airfoil and Intake Calculations....Pages 251-274
A Finite Element Scheme for the Euler Equations....Pages 275-291
A Contribution to the Numerical Prediction of Transonic Flows....Pages 292-308
Solution of Compressible Euler Flows Using Rational Runge-Kutta Time Stepping Scheme....Pages 309-330
Implicit Finite-Volume Algorithms for the Flux-Split Euler Equations....Pages 331-347
A Short Synthesis of the Contributions....Pages 348-359
Back Matter....Pages 360-360
Content:
Front Matter....Pages I-VIII
Problems for Analysis....Pages 1-20
The Computation of Steady Solutions to the Euler Equations: A Perspective....Pages 21-38
The International Vortex Flow Experiment: A Test Case for Compressible Euler Codes....Pages 39-53
Implicit Euler Calculations Using a Galerkin Finite Element Approximation on Adapted Non-Structured Meshes....Pages 54-75
Upwind Second-Order Unsteady Scheme....Pages 76-87
Calculation of Two-Dimensional Compressible Euler Flows with a New Petrov-Galerkin Finite Element Method....Pages 88-104
Multigrid Scheme for the Euler Equations....Pages 105-121
Computation of Transonic Steady Flows Using a Modified Lambda Formulation....Pages 122-137
Euler Calculations by Upwind Finite Element Methods and Adaptive Mesh Algorithms....Pages 138-156
Computation of Steady Euler Equations Using Finite Element Method....Pages 157-174
A Non-Linear Multigrid Method for the Steady Euler Equations....Pages 175-196
Numerical Solutions to the Euler Equations for the 1986 Gamm Workshop....Pages 197-226
Implicit Transonic Calculations without Artificial Viscosity or Upwinding....Pages 227-250
Transonic Airfoil and Intake Calculations....Pages 251-274
A Finite Element Scheme for the Euler Equations....Pages 275-291
A Contribution to the Numerical Prediction of Transonic Flows....Pages 292-308
Solution of Compressible Euler Flows Using Rational Runge-Kutta Time Stepping Scheme....Pages 309-330
Implicit Finite-Volume Algorithms for the Flux-Split Euler Equations....Pages 331-347
A Short Synthesis of the Contributions....Pages 348-359
Back Matter....Pages 360-360
....