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Finite element computation of a viscous compressible free shear flow governed by the time dependent navier-stokes equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Cooke, C. H. Blanchard, D. K. |
| Copyright Year | 1975 |
| Description | A finite element algorithm for solution of fluid flow problems characterized by the two-dimensional compressible Navier-Stokes equations was developed. The program is intended for viscous compressible high speed flow; hence, primitive variables are utilized. The physical solution was approximated by trial functions which at a fixed time are piecewise cubic on triangular elements. The Galerkin technique was employed to determine the finite-element model equations. A leapfrog time integration is used for marching asymptotically from initial to steady state, with iterated integrals evaluated by numerical quadratures. The nonsymmetric linear systems of equations governing time transition from step-to-step are solved using a rather economical block iterative triangular decomposition scheme. The concept was applied to the numerical computation of a free shear flow. Numerical results of the finite-element method are in excellent agreement with those obtained from a finite difference solution of the same problem. |
| File Size | 3959115 |
| Page Count | 60 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19760004294 |
| Archival Resource Key | ark:/13960/t4zh1dm05 |
| Language | English |
| Publisher Date | 1975-10-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Shear Flow Triangles Two Dimensional Flow Computer Programs Finite Element Method Navier-stokes Equation Time Dependence Algorithms Iterative Solution High Speed Galerkin Method Compressible Flow Viscous Flow 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 |
