Same-Family Shock Wave Interaction Analysis Tool

1. Project Objective

The main goal of this project is to numerically analyze the intersection of same-family supersonic shock waves and present the results to the user with numerical data, graphs, and animations.

The project is developed to understand the flow behavior resulting from shock wave intersections in supersonic flows, identify the intersection points, and analyze their effects on pressure, temperature, and density.

Instead of performing long CFD simulations, this interactive tool allows rapid calculation of oblique shocks and flow properties.

2. Assumptions

The numerical models developed in this study are based on the following assumptions:

Constant specific heat ratio
Adiabatic flow
Negligible viscous effects
Compressible flow
Two-dimensional flow model
Ideal gas law
Sharp and perfect surfaces
Steady flow
No turbulence model used

At the end of the study, the outputs were validated with SU2 CFD analysis under the same assumptions.

3. Methods Used

Oblique Shock Analysis

Oblique_Shock_Solver.py calculates the flow property changes (pressure, temperature, etc.) after an oblique shock in supersonic flow.

Prandtl-Meyer Expansion Wave Analysis

Expansion_Wave_Solver.py calculates the changes in flow properties after a Prandtl-Meyer expansion wave in supersonic flow.

Same-Family Shock Intersections

Same_Family_Shock_Solver.py iteratively calculates the flow properties resulting from shock wave intersections.

Flowchart Visualization of Code Working Method

Graphical Visualization

Graphics.py is used to plot pressure/deflection angle diagrams and intersection points.

Animation

Animation.py uses Turtle Graphics to animate flow lines.

User Interface

Tkinter is used to take input values from the user and display results interactively.

4. Installation and Requirements

Python 3.10 or higher
Required packages:
pip install numpy scipy matplotlib pillow

5. File Structure

project/
│
├── Same_Family_Shock_Solver.py # Shock intersection calculations
├── Oblique_Shock_Solver.py # Oblique shock analysis
├── Expansion_Wave_Solver.py # Prandtl-Meyer expansion wave
├── Graphics.py # Pressure vs Theta diagrams
├── Animation.py # Flow animation
├── GUI.py # Tkinter interface
├── photo.png # Image representing regions in GUI
└── README.md # Project description

6. Usage

6.1 Launching the Interface

Run GUI.py to open the Tkinter-based interface.

6.2 Input Parameters

Mach: Inlet Mach number
Theta1: First ramp angle
Theta2: Second ramp incremental angle

6.3 Calculation

Clicking the “Calculate” button:

Intersection points of shock waves are numerically solved
Flow properties (Mach, pressure, temperature, density ratios) are calculated for each region
Results are displayed in a table
Graphs (graph.png and graph_zoomed.png) are generated

6.4 Graphs

Pressure-Deflection Angle Diagram: Shows intersection points along with shock and expansion curves
Zoomed Graph: Highlights the intersection point

6.5 Animation

Clicking the “Flow Animation” button shows the flow lines and shock waves based on calculated intersection points.
The animation visually illustrates shock directions, flow lines, and intersection points.

7. Errors and Warnings

Iteration Error:
If input values are too high or inappropriate, the iteration may not converge.
Solution: Increase ITER_NUM.
Detached Shock Warning:
If the input theta exceeds the maximum theta, a detached shock occurs:
"The theta angle you entered exceeds the maximum value, a detached shock occurs!"
File Not Found:
Missing graphics or default image files will cause an error.
Mach Number:
If the Mach number is below 1, no shock forms, and the user is warned.

8. Project Contributions

Numerical shock analysis and visualization
Pressure-deflection angle diagram plotting
Animation to visualize flow and shock behavior
User-friendly Tkinter interface
This study aims to investigate the flow properties after same-family shock wave intersections and better understand the mechanism behind this interaction.

Contact Information

For missing features, bugs, or other issues, please contact:
GitHub
Email: mehmetvergli43@gmail.com

mvergili64/Same-Family-Shock-Wave-Intersection-Analysis-Tool