- Introduction and application of the conformal mapping z0.5 to fluid flow.
- Flash animation showing step-by-step distortion of images and coordinates by several conformal mappings.
- Analysis of the transformation w = z0.5.
- Analysis of w = z2.
- Illustration of other flow patterns from the zn transform.
- More on incompressible, irrotational flow.
- Conformal Mapping II.
- More on analytic functions.
- Derivation of the Cauchy-Riemann equations.
- Graphical interpretation of the Cauchy-Riemann equations.
- Comparison of complex derivatives with derivatives in a normal two dimensional space.
- 2D versus 3D space using conformal mapping.
- More on Laplace's equation boundary conditions and the uniqueness theorem.
- Examples of picking an analytic function suitable for a particular fluid flow problem.
- Fluid flow patterns handled by other functions.
- Conformal mapping of electric and magnetic fields.
- Starting electric and magnetic potentials and their fields.
- A case of matching potentials at the boundaries.
- Boundary conditions in electric fields.
- Boundary conditions in magnetic fields.
- Laplace's equation applied to resistive flow of charge and fluid.
- Laplace's equation applied to time varying electric and magnetic fields.
- Detailed conformal mappings.
- Introduction.
- w = z0.5
- w = z1.5
- w = z2
- w = ez
- w = sinz
- w = sinz, another domain.
- w = tanz
- w = z + 1/z
- w = 1/z
- Shifting and scaling
- Overview of conformal mapping.
- Links to more material on conformal mapping on the web.
- Listing of all physics postings by the author.
Saturday, September 11, 2010
Contents of postings on Conformal Mapping
Posted by P. Ceperley at 5:04 PM