Numerical simulation studies implemented using Python and finite-difference methods for aerospace oriented engineering problems.
Current repository work includes:
- transient heat conduction studies
- finite-difference discretization
- timestep stability investigation
- numerical behavior analysis
- scientific visualization of simulation outputs
- introductory CFD related computational studies
Finite-difference implementation of the transient 1D heat equation using Python, NumPy and Matplotlib.
Current investigation areas:
- explicit finite-difference schemes
- transient conduction behavior
- timestep sensitivity
- numerical stability behavior
- boundary condition implementation
- simulation result visualization
Current limitations:
- explicit timestep restrictions
- limited validation benchmarking
- no mesh refinement studies yet
- limited multidimensional implementation
Planned extensions:
- analytical solution comparison
- convergence verification
- implicit discretization schemes
- higher dimensional studies
Additional repository work is gradually expanding toward:
- computational fluid dynamics
- aeroacoustic analysis
- numerical methods for PDEs
- engineering validation studies
- simulation driven aerospace analysis
