Finite volume method

Ok kiddo, do you know what a volume is? It's like a big box or a container that can hold things. But sometimes, we need to know how things move or change inside that box. This is where the Finite Volume Method (FVM) comes in.

Imagine we have a box full of water, but we want to know how the water moves and changes with different factors, like temperature or pressure. The FVM divides the box into smaller parts called control volumes. These volumes hold a tiny bit of water, and we can see how the water moves and changes inside them.

Each control volume has a center point or node, where we calculate the different properties of the water, such as density, volume, or flux (how things move from one point to another).

Using some cool math equations, we can then find out how the water behaves in each of these tiny volumes, and how it interacts with the other parts of the box.

So, the FVM is like playing with Legos, where we build a big box using smaller parts, so we can understand how things move and change inside it. Pretty neat, right?