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Boundary-fitted curvilinear coordinate systems for solution of partial differential equations on fields containing any number of arbitrary two-dimensional bodies
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Thompson, J. F. Thames, F. C. Mastin, C. W. |
| Copyright Year | 1977 |
| Description | A method is presented for automatic numerical generation of a general curvilinear coordinate system with coordinate lines coincident with all boundaries of a general multi-connected two-dimensional region containing any number of arbitrarily shaped bodies. No restrictions are placed on the shape of the boundaries, which may even be time-dependent, and the approach is not restricted in principle to two dimensions. With this procedure the numerical solution of a partial differential system may be done on a fixed rectangular field with a square mesh with no interpolation required regardless of the shape of the physical boundaries, regardless of the spacing of the curvilinear coordinate lines in the physical field, and regardless of the movement of the coordinate system in the physical plane. A number of examples of coordinate systems and application thereof to the solution of partial differential equations are given. The FORTRAN computer program and instructions for use are included. |
| File Size | 8467823 |
| Page Count | 260 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19770021145 |
| Archival Resource Key | ark:/13960/t9382540k |
| Language | English |
| Publisher Date | 1977-07-01 |
| Access Restriction | Open |
| Subject Keyword | Aerodynamics Navier-stokes Equation Coordinate Transformations Two Dimensional Bodies Numerical Analysis Airfoil Profiles Partial Differential Equations Fitting Rectangles Fortran Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
