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A block iterative finite element algorithm for numerical solution of the steady-state, compressible navier-stokes equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Cooke, C. H. |
| Copyright Year | 1976 |
| Description | An iterative method for numerically solving the time independent Navier-Stokes equations for viscous compressible flows is presented. The method is based upon partial application of the Gauss-Seidel principle in block form to the systems of nonlinear algebraic equations which arise in construction of finite element (Galerkin) models approximating solutions of fluid dynamic problems. The C deg-cubic element on triangles is employed for function approximation. Computational results for a free shear flow at Re = 1,000 indicate significant achievement of economy in iterative convergence rate over finite element and finite difference models which employ the customary time dependent equations and asymptotic time marching procedure to steady solution. Numerical results are in excellent agreement with those obtained for the same test problem employing time marching finite element and finite difference solution techniques. |
| File Size | 1899015 |
| Page Count | 36 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19760019334 |
| Archival Resource Key | ark:/13960/t8tb5wn9d |
| Language | English |
| Publisher Date | 1976-07-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Navier-stokes Equation Finite Element Method Numerical Analysis Algorithms Fluid Dynamics Iteration Steady State Convergence 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 |
