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Generation of surface coordinates by elliptic partial differential equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Warsi, Z. U. A. |
| Copyright Year | 1985 |
| Description | The problem of generating spatial coordinates by numerical methods through carefully selected mathematical models is of current interest both in mechanics and physics. The problem of generation of a desired system of coordinates in a given surface was considered, which essentially is an effort directed to the problem of grid generation in a two-dimensional non-Euclidean space. The mathematical model selected for this purpose is based on the formulae of Gauss for a surface. The proposed equations can be used to generate a new coordinate system from the data of an already given coordinate system in a surface. If the coefficients of the first and second fundamental forms have been given, then the proposed equations can be used to generate a surface satisfying the given data (surface fitting). The proposed equations can also be used to generate surfaces in the space between two arbitrary given surfaces, thus providing 3D grids in an Euclidean space. |
| File Size | 4258530 |
| Page Count | 3 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19850020271 |
| Archival Resource Key | ark:/13960/t1ck38t0j |
| Language | English |
| Publisher Date | 1985-06-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Elliptic Differential Equations Computer Graphics Coordinates Mathematical Models Computational Grids Grid Generation Mathematics Coefficients Computer Aided Design Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
