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A velocity-pressure integrated, mixed interpolation, galerkin finite element method for high reynolds number laminar flows
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Kim, Sang-Wook |
| Copyright Year | 1988 |
| Description | A velocity-pressure integrated, mixed interpolation, Galerkin finite element method for the Navier-Stokes equations is presented. In the method, the velocity variables were interpolated using complete quadratic shape functions and the pressure was interpolated using linear shape functions. For the two dimensional case, the pressure is defined on a triangular element which is contained inside the complete biquadratic element for velocity variables; and for the three dimensional case, the pressure is defined on a tetrahedral element which is again contained inside the complete tri-quadratic element. Thus the pressure is discontinuous across the element boundaries. Example problems considered include: a cavity flow for Reynolds number of 400 through 10,000; a laminar backward facing step flow; and a laminar flow in a square duct of strong curvature. The computational results compared favorable with those of the finite difference methods as well as experimental data available. A finite elememt computer program for incompressible, laminar flows is presented. |
| File Size | 3386077 |
| Page Count | 96 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19880009484 |
| Archival Resource Key | ark:/13960/t77t2ks5p |
| Language | English |
| Publisher Date | 1988-02-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Navier-stokes Equation Finite Element Method Interpolation Computational Fluid Dynamics Laminar Flow Flow Distribution Pressure Distribution Galerkin Method Velocity Distribution Cavity Flow Computer Programs Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
