Currenlty I am simulating shock wave beahiour in scramjet engine. The shock wave movement,and its interaction with boundary layer are intrensically 3D phenomena. How to justify thses behaviour in 2D siumlation.
2D is a good starting point to get warm with the problem, e.g. the shock resolution can be gained, and to obtain results to build on.
The way is to consider the statistical property of the flow. Depending on the geometry, BCs, external forces, the solution can be statistically steady and 2D.
Depending from case to case, based on the geometry and the flow conditions a 3D phenomenon can be understood by a relatively simple 2D simulation. Then one can understand 3D phenomenon by contrasting the dynamics from simple 2D flow.
Hope this helps!
2D simulation could be used for initial estimations of the shock wave interaction with the boundary layer. It could show the separation shock wave and reattachment shock wave.
However, this behaviour will be 100% identical in 3D, but if you could compare the 3D and 2D cases, you would see similarities.
Also, it is common practice to perform 2D simulations for scram jets. For ease of understanding the interactions and shock responses.
In general, a good way to justify a 2D modelling is scale analysis. You need to show that the typical scales related to the thirs dimension are a few order of magnitude smaller than the same typical scales in the other two dimensions.
Just to simplify the problem and get sense of real world we start with 2D analysis and then extend it to 3D estimation.
- Badges
- Science topic
- Similar topics
- Methodology
- Research Methodology
- Research Papers