New discretization and solution techniques for incompressible viscous flow problemsThis paper considers several topics arising in the finite element solution of the incompressible Navier-Stokes equations. Specifically, the question of choosing finite element velocity/pressure spaces is addressed, particularly from the viewpoint of achieving stable discretizations leading to convergent pressure approximations. Following this, the role of artificial viscosity in viscous flow calculations is studied, emphasizing recent work by several researchers for the anisotropic case. The last section treats the problem of solving the nonlinear systems of equations which arise from the discretization. Time marching methods and classical iterative techniques, as well as some recent modifications are mentioned.
Document ID
19830058197
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Gunzburger, M. D. (Carnegie-Mellon Univ. Pittsburgh, PA, United States)
Nicolaides, R. A. (Carnegie-Mellon University Pittsburgh, PA, United States)
Liu, C. H. (NASA Langley Research Center Low-Speed Aerodynamics Div., Hampton, Va, United States)