A time-accurate integration method for the study of unsteady incompressible viscous flows is presented, based on a three-point-backward implicit discretization of the Navier-Stokes equations in real time and a pseudo-time relaxation with artificial compressibility to advance the solution between con
Time marching integral equation method for unsteady transonic flows around airfoils
✍ Scribed by Jicaho Su
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 470 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A time marching integral equation method has been proposed here which does not have the limitation of the time linearized integral equation method in that the latter method can not satisfactorily simulate the shock wave motions. Firstly, a model problem–one dimensional initial and boundary value wave problem is treated to clarify the basic idea of the new method. Then the method is implemented for two dimensional unsteady transonic flow problems. The introduction of the concept of a quasi‐velocity‐potential simplifies the time marching integral equations and the treatment of trailing vortex sheet condition. The numerical calculations show that the method is reasonable and reliable.
📜 SIMILAR VOLUMES
The accuracy and efficiency of several lower and higher order time integration schemes are investigated for engineering solution of the discretized unsteady compressible Navier-Stokes equations. Fully implicit methods tested are either the backward differentiation formulas (BDF) or stage-order two,