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Numerical approximation of boundary conditions with applications to inviscid equations of gas dynamics
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Yee, H. C. |
| Copyright Year | 1981 |
| Description | A comprehensive overview of the state of the art of well-posedness and stability analysis of difference approximations for initial boundary value problems of the hyperbolic type is presented. The applicability of recent theoretical development to practical calculations for nonlinear gas dynamics is examined. The one dimensional inviscid gas dynamics equations in conservation law form are selected for numerical experiments. The class of implicit schemes developed from linear multistep methods in ordinary differential equations is chosen and the use of linear extrapolation as an explicit or implicit boundary scheme is emphasized. Specification of boundary data in the primitive variables and computation in terms of the conservative variables in the interior is discussed. Some numerical examples for the quasi-one-dimensional nozzle are given. |
| File Size | 2810681 |
| Page Count | 92 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19810011307 |
| Archival Resource Key | ark:/13960/t3jx3669j |
| Language | English |
| Publisher Date | 1981-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Conservation Laws Extrapolation Boundary Value Problems Approximation Computational Fluid Dynamics Gas Dynamics Euler Equations of Motion Inviscid Flow Boundary Conditions Hyperbolic Differential Equations 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 |