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A finite-element approach for modeling inviscid and viscous compressible flows using prismatic grids
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Hefez, M. Pandya, S. A. |
| Copyright Year | 2000 |
| Description | The Galerkin finite-element method is used to solve the Euler and Navier-Stokes equations on prismatic meshes. It is shown that the prismatic grid is advantageous for correctly and efficiently capturing the boundary layers in high Reynolds number flows. It can be captured accurately because of the ability to cluster grid points normal to the body. The efficiency derives from the implicit treatment of the normal direction. To treat the normal direction implicitly, a semi-implicit Runge-Kutta time stepping scheme is developed. The semi-implicit algorithm is validated on simple geometries for inviscid and viscous flows and its convergence history is compared to that of the explicit Runge-Kutta scheme. The semi-implicit scheme is shown to be a factor of 3 to 4 faster in terms of CPU time to convergence. |
| File Size | 629199 |
| File Format | |
| Language | English |
| Publisher Date | 2000-06-12 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis High Reynolds Number Reynolds Number Runge-kutta Method Convergence Finite Element Method Algorithms Differential Equations Inviscid Flow Flow Velocity Galerkin Method Computational Grids Boundary Layers 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 | Article |
