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High accuracy solutions of incompressible navier-stokes equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Gupta, Murli M. |
| Copyright Year | 1990 |
| Description | In recent years, high accuracy finite difference approximations were developed for partial differential equations of elliptic type, with particular emphasis on the convection-diffusion equation. These approximations are of compact type, have a local truncation error of fourth order, and allow the use of standard iterative schemes to solve the resulting systems of algebraic equations. These high accuracy approximations are extended to the solution of Navier-Stokes equations. Solutions are obtained for the model problem of driven cavity and are compared with solutions obtained using other approximations and those obtained by other authors. It is discovered that the high order approximations do indeed produce high accuracy solutions and have a potential for use in solving important problems of viscous fluid flows. |
| File Size | 803150 |
| Page Count | 30 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19900012251 |
| Archival Resource Key | ark:/13960/t39071g74 |
| Language | English |
| Publisher Date | 1990-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Fluid Dynamics Partial Differential Equations Fluid Flow Truncation Errors Iteration Navier-stokes Equation Cavities Incompressible Flow Accuracy Algebra Finite Difference Theory Problem Solving Viscous Fluids Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |