kirch swMATH ID: 11661 Software Authors: Trefethen, Lloyd N. Description: 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) Homepage: http://www.netlib.org/conformal/index.html Keywords: Kirchhoff flow; conformal mapping; modified Schwarz-Christoffel integral; log-hodograph polygon Related Software: SCPACK; SC Toolbox; Schwarz-Christoffel; CONFPACK; NSOIA; GEARLIKE; Algorithm 785; QUADPACK; BKMPACK Cited in: 20 Documents all top 5 Cited by 23 Authors 5 Elcrat, Alan R. 3 Bassanini, Piero 3 Hureau, Jacques 3 Trefethen, Lloyd Nicholas 3 Weber, Régine 2 Hassenpflug, Walter C. 2 Papamichael, Nicolas 1 Alben, Silas D. 1 DeLillo, Thomas K. 1 Dias, Frédéric 1 Driscoll, Tobin A. 1 Gaier, Dieter 1 Herterich, James G. 1 Howell, Louis H. 1 Hu, Chenglie 1 Lancaster, Kirk Eugene 1 Mansutti, Daniela 1 Shelley, Michael J. 1 Stylianopoulos, Nikos S. 1 Sulejmanov, S. Z. 1 Tian, Zhongwei 1 Wu, Ziniu 1 Zhang, Jun all top 5 Cited in 16 Serials 2 Journal of Fluid Mechanics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Computational and Applied Mathematics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Fluid Dynamics 1 Journal of Engineering Mathematics 1 Applied Mathematics and Computation 1 Results in Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Physics of Fluids 1 Documenta Mathematica 1 European Journal of Mechanics. B. Fluids 1 Computational Methods and Function Theory all top 5 Cited in 8 Fields 14 Fluid mechanics (76-XX) 7 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) Citations by Year