Welcome to conformalMaps documentation!

The package conformalMaps is about conformal mappings and their applications. It was made to be as interactive as possible with sliders from IPyWidgets. The aim is to create a full package of scientific Python with release, documentation, webpage etc… The package adresses students of applied sciences and mathematics, lecturers, researchers and engineers at companies.

• Application examples can be found on Conformal Mappings with SymPy

• Back to Conformal-Maps github repository

The following figure illustrates the GUI for the interactive deformation of a rectangular geometry.

• conformalMaps package
  • Submodules
  • conformalMaps.grids module
    • Circle
      • Circle.updateFunc()
    • Donut
      • Donut.anim()
      • Donut.create_traces()
      • Donut.gen_coordinate_grid()
      • Donut.init_plotly()
      • Donut.matrix_generator()
      • Donut.plugin()
      • Donut.updateFunc()
    • Rectangle
      • Rectangle.add_new_data_to_traces()
      • Rectangle.anim()
      • Rectangle.check_analytic()
      • Rectangle.create_traces()
      • Rectangle.evaluate()
      • Rectangle.gen_coordinate_grid()
      • Rectangle.init_plotly()
      • Rectangle.matrix_generator()
      • Rectangle.over_write_traces()
      • Rectangle.plugin()
      • Rectangle.show()
      • Rectangle.updateFunc()
      • Rectangle.w_numeric()
    • Single_circle
      • Single_circle.updateFunc()
    • Square
      • Square.updateFunc()
  • conformalMaps.mappings module
    • ConcentricAnnulusToEccentricAnnulus
      • ConcentricAnnulusToEccentricAnnulus.mapping()
      • ConcentricAnnulusToEccentricAnnulus.newRadii()
    • RectangleToEccentricAnnulus
      • RectangleToEccentricAnnulus.bipolarConstants()
      • RectangleToEccentricAnnulus.mapping()
    • RectangleToEllipticAnnulus
      • RectangleToEllipticAnnulus.mapping()
  • Module contents
• Gallery
  • Static
  • Animated

Indices and tables

• Index

• Module Index

• Search Page

References

[BC09]Brown J.W., Churchill R.V., Complex variables and applications, Eighth edition, McGraw-Hill Book Company, 2009

[LG21] Lauer-Baré Z. and Gaertig E., Conformal Mappings with SymPy: Towards Python-driven Analytical Modeling in Physics. Lauer-Baré, Z. & Gaertig, E. In Agarwal, M., Calloway, C., Niederhut, D., & Shupe, D., editors, Proceedings of the 20th Python in Science Conference, pages 85 - 93, 2021

[PHW33] Piercy N.A.V., Hooper M.S., Winny H.F., LIII. Viscous flow through pipes with cores, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1933