An efficient, accurate numerical method for the solution of a Poisson equation on a sphere / Samuel Y.K. Yee.
The need for efficient and accurate methods for the solution of boundary value problems such as Poisson-type equations is well established. In numerical weather prediction where solutions to such equations are required in daily routine operations, it is paramount that the solution procedure be effic...
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| Format: | Government Document Book |
| Language: | English |
| Published: |
Hanscom AFB, Mass. :
Air Force Geophysics Laboratory, Air Force Systems Command, United States Air Force,
1977.
|
| Series: | Environmental research papers (Hanscom AFB, Mass.) ;
no. 612. AFGL-TR ; 77-246. |
| Subjects: |
MARC
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| 100 | 1 | |a Yee, Samuel Y. K. | |
| 245 | 1 | 3 | |a An efficient, accurate numerical method for the solution of a Poisson equation on a sphere / |c Samuel Y.K. Yee. |
| 260 | |a Hanscom AFB, Mass. : |b Air Force Geophysics Laboratory, Air Force Systems Command, United States Air Force, |c 1977. | ||
| 300 | |a 20 pages : |b illustrations ; |c 28 cm. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a unmediated |b n |2 rdamedia. | ||
| 338 | |a volume |b nc |2 rdacarrier. | ||
| 490 | 1 | |a Environmental research papers ; |v No. 612. | |
| 490 | 1 | |a AFGL-TR ; |v 77-246. | |
| 500 | |a "4 November 1977." | ||
| 500 | |a ADA051736 (from http://www.dtic.mil) | ||
| 500 | |a Meteorology Division Project 2310. | ||
| 500 | |a Research supported by the Air Force Geophysics Laboratory, Air Force Systems Command, United States Air Force, Hanscom AFB, Massachusetts. | ||
| 504 | |a Includes bibliographical references (page 20) | ||
| 520 | |a The need for efficient and accurate methods for the solution of boundary value problems such as Poisson-type equations is well established. In numerical weather prediction where solutions to such equations are required in daily routine operations, it is paramount that the solution procedure be efficient. An efficient shooting method to meet such a need has been reported. The algebraic system resulting from the regular discretization of the Poisson equation on a sphere is, however, numerically unstable. Thus the direct application of this method is accurate only for relatively small systems. This limitation has now been successfully removed by two major improvements to the method. The inherent instability of the system due to a spectral radius larger than unity is alleviated by the use of a multiple shooting technique, while the instability due to the convergence of meridians on a sphere is overcome by a specially designed flexible grid. Numerical examples are provided to demonstrate the effectiveness of the improved method. | ||
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| 650 | 0 | |a Harmonic functions |x Mathematical models. | |
| 650 | 0 | |a Sphere. |0 http://id.loc.gov/authorities/subjects/sh85126590. | |
| 650 | 0 | |a Finite differences. |0 http://id.loc.gov/authorities/subjects/sh85048348. | |
| 650 | 0 | |a Poisson's equation. |0 http://id.loc.gov/authorities/subjects/sh85103960. | |
| 650 | 0 | |a Boundary value problems. |0 http://id.loc.gov/authorities/subjects/sh85016102. | |
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| 830 | 0 | |a Environmental research papers (Hanscom AFB, Mass.) ; |v no. 612. |0 http://id.loc.gov/authorities/names/n86702993. | |
| 830 | 0 | |a AFGL-TR ; |v 77-246. |0 http://id.loc.gov/authorities/names/n42001377. | |
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