Chapter 1 : ODEs, PDEs and matrices
We will talk about the kinds of equations we will use to describe fluids which are ODEs and PDEs. We will talk also about some linear algebra and matrix operations.
Chapter 2 : Fluid Equations.
Here, you will see one of the coolest equations that a lot of people love ( though they are scary), Navier – Stokes Equations. We will learn how they are derived and more! All of this in simple ways. We will also talk about boundary conditions.
Chapter 3 : MAC Grids, discretization in time and space.
Before you solve the equations, you should learn how to discretize different quantities in time and space. We will talk about an efficient way to discretize in space called MAC Grid.
Chapter 4 : Advection.
We will talk about efficient way to solve the advection part of our equations. Considering Semi Lagrangian scheme as the main way we will use,we will talk about artificial diffusion as a result of it.
Chapter 5 : Making fluid incompressible
This is the hear of fluid simulations! This chapter will contain a lot of information. We will talk about how to apply the incompressibility condition and satisfy boundary conditions. This will consider solving a linear system too.
Chapter 6 : Simple Smoke Solver.
Now it’s time to see how all of this is applied in Houdini! We will see how a simple smoke solver is done with microsolvers. This is the best way to start coding your own code after learning all of these definitions and seeing how to apply in microsolvers.