Proper orthogonal decomposition
Proper orthogonal decomposition (POD) is like a magic box that helps us understand complicated things in an easier way. Imagine you are playing with different shaped blocks - square, triangle, circle, etc - and you want to know how they move when you push them. It's pretty hard to keep track of everything happening at once, right?
Now imagine you collect a bunch of pictures of the blocks moving and capture all the different ways they move. You can then use a computer to group all these pictures together and pick out the most important movements, the patterns that keep happening over and over again.
This is what POD does - it takes a bunch of data that's really hard to understand and finds the important bits. It looks at how different things change over time and tries to find the underlying changes that are happening at different speeds or in different directions.
So instead of trying to understand everything at once, POD breaks it down into smaller, easier-to-process pieces. Like sorting your blocks into different bins (e.g. all the red ones in one bin, all the square ones in another), POD can help us understand the really complicated stuff by separating it into simpler pieces.
Now imagine you collect a bunch of pictures of the blocks moving and capture all the different ways they move. You can then use a computer to group all these pictures together and pick out the most important movements, the patterns that keep happening over and over again.
This is what POD does - it takes a bunch of data that's really hard to understand and finds the important bits. It looks at how different things change over time and tries to find the underlying changes that are happening at different speeds or in different directions.
So instead of trying to understand everything at once, POD breaks it down into smaller, easier-to-process pieces. Like sorting your blocks into different bins (e.g. all the red ones in one bin, all the square ones in another), POD can help us understand the really complicated stuff by separating it into simpler pieces.