publication . Conference object . 1993

Semi-discrete Galerkin solution of the compressible boundary-layer equations with viscous-inviscid interaction

BRAD DAY; ANDREW MEADE, JR.;
Open Access
  • Published: 09 Aug 1993
  • Publisher: American Institute of Aeronautics and Astronautics
Abstract
A semi-discrete Galerkin (SDG) method is under development to model at tached, turbulent, and compressible boundary layers for transonic airfoil analysis problems. For the boundary-layer formulation the method models the spatial variable normal to the surface with linear finite elements and the time-like variable with finite differences. A Dorodnitsyn transformed system of equations is used to bound the infinite spatial domain thereby providing high resolution near the wall and permitting the use of a uniform finite element grid which automatically follows boundary-layer growth. The second-order accurate Crank-Nicholson scheme is applied along with a linearizati...
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: Boundary layer thickness, Finite element method, Galerkin method, Inviscid flow, Blasius boundary layer, No-slip condition, NACA airfoil, Computational physics, Physics, Boundary element method, Mathematical analysis
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