During two-step Schwarz᎐Christoffel conformal mappings, when the original and the image polygons exhibit shape similarities, error-masking phenomena are likely to occur if ¨ertex crowding in the intermediate transformation plane causes similar accuracy losses both in the original and in the image pl
Computer implementation of the Schwarz-Christoffel transformation
✍ Scribed by William Squire
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 424 KB
- Volume
- 299
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
A modified Romberg procedure for evaluating complex integrals is applied to the computation of the Schwarz-Christoffel transformation. An iterative procedure proposed by Wassmuth is used to determine the con&ants of the transformation forJlow past a polygonal boundary. The $0~ in a rectangular cavity and past a rectangular bump are computed. the the FIG. 4. Flow in stepped rectangular cavity.
📜 SIMILAR VOLUMES
The results of ¨arious quadrature rules suitable to compute the Schwarz᎐Christoffel formula are briefly discussed, and a formal integration rule is introduced for an important particular case, leading to compound quadrature procedures that are faster and more accurate than traditional ones.