Classical free-streamline flow over a polygonal obstacle.This paper presents a practical method for computing flows over arbitrary polygonal obstacles to high accuracy in a few seconds of computer time. We achieve this high speed and flexibility by working with a modified Schwarz-Christoffel integral that maps onto the flow region directly rather than onto the log-hodograph polygon. This integral and its associated parameter problem are treated numerically by methods developed earlier by the second author [SIAM J. Sci. Stat. Comput. 1, 82-102 (1980; Zbl 0451.30004)] for standard Schwarz-Christoffel maps. (netlib conformal)

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  1. Papamichael, Nicolas; Stylianopoulos, Nikos: Numerical conformal mapping. Domain decomposition and the mapping of quadrilaterals (2010)
  2. Tian, Zhongwei; Wu, Ziniu: A study of two-dimensional flow past regular polygons via conformal mapping (2009)
  3. Delillo, Thomas K.; Elcrat, Alan R.; Hu, Chenglie: Computation of the Helmholtz-Kirchhoff and reentrant jet flows using Fourier series (2005)
  4. Alben, Silas; Shelley, Michael; Zhang, Jun: How flexibility induces streamlining in a two-dimensional flow (2004)
  5. Papamichael, Nicolas: Dieter Gaier’s contributions to numerical conformal mapping (2003)
  6. Weber, R.; Hureau, J.: Ideal fluid flow past obstacles in an arbitrary channel: Comparison of numerical and experimental results (2001)
  7. Weber, Régine; Hureau, Jacques: Numerical solution for various inverse problems (2000)
  8. Weber, R.; Hureau, J.: Impact of an ideal fluid jet on a curved wall: The inverse problem (1999)
  9. Hassenpflug, W.C.: Branched channel free-streamlines (1998)
  10. Hassenpflug, W.C.: Free-streamlines (1998)
  11. Trefethen, Lloyd N.; Driscoll, Tobin A.: Schwarz-Christoffel mapping in the computer era (1998)
  12. Howell, Louis H.; Trefethen, Lloyd N.: A modified Schwarz-Christoffel transformation for elongated regions (1990)
  13. Bassanini, P.; Elcrat, A.R.: Separated flow past three-dimensional bodies as a singular perturbation problem (1989)
  14. Elcrat, Alan R.; Lancaster, Kirk E.: Bernstein functions and the Dirichlet problem (1989)
  15. Bassanini, Piero; Elcrat, Alan: A univalent spiral-vortex model for separated flow past a polygonal obstacle (1988)
  16. Bassanini, Piero; Mansutti, Daniela: Wake flow past a plate with spoiler. II. Gravity effects (1986)
  17. Elcrat, Alan R.; Trefethen, Lloyd N.: Classical free-streamline flow over a polygonal obstacle (1986)
  18. Gaier, Dieter: On an area problem in conformal mapping (1986)