Supersonic flow over a Cone

Numerical Solutions to the Taylor-Maccoll Equation are obtained using 4th order Runge-Kutta Method for a supersonic flow over a cone.

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The files provides the numerical procedures used to solve oblique shock relation and Taylor-Maccoll equation. 4th-order Runge-Kutta numerical scheme is employed to implicitly solve the Taylor-Maccoll equations.
Inverse approach is used (J.D. Anderson, Modern Compressible Flow, Section 10.4)
Properties of the flow are calculated for
- A supersonic Mach number
- Zero pitch and yaw
- An in-viscid, perfect gas
Note - The generated shock wave is 3D in nature but as the shock is locally planar, thus is treated locally by the use of 2D oblique shock theory.

Cite As

Dyuman Joshi (2026). Supersonic flow over a Cone (https://uk.mathworks.com/matlabcentral/fileexchange/91055-supersonic-flow-over-a-cone), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: Supersonic flow over a Cone

Inspired: Supersonic flow over a Cone

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0

Minor changes to code to improve efficiency.

1.0.0