Integral representation of field variables for the finite element solution of viscous flow problemsThe kinematics aspects of compressible and incompressible viscous flow problems are recasted into an integral representation for the velocity vector. For the incompressible flow problem, the kinetics aspect is similarly recasted into an integral representation. The result is a system of integral equations ideally suited for the finite element method. The integral representations are shown to permit the confinement of the computation field to the region of nonnegligible vorticity and dilatation which, for the incompressible flow, is identified with the viscous region. This drastic reduction in computation field results in a superior solution speed which is further improved by the use of a flowfield segmentation technique. The new approach is further shown to remove the difficulties associated with previous methods in specifying the far field and extraneous boundary conditions.
Document ID
19750041156
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Wu, J. C. (Georgia Institute of Technology Atlanta, Ga., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1974
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Finite element methods in engineering; International Conference