CGCircuit – Building Fluid Solvers for VFX and Houdini – Part 1&2
Title: CGCircuit – Building Fluid Solvers for VFX and Houdini – Part 1&2
Info:
Part 1
Do you dream of building your own fluid simulation engine—like Houdini, RealFlow, or your own custom solver? You’re in the right place.
Part 1 of this series is your entry point into the world of simulation programming. We’ll begin with the math behind the magic: the essential calculus and linear algebra required to understand and build fluid solvers from scratch.
But don’t worry—this isn’t a dry, academic math course. This is fluid simulation math made simple, even if you only remember a bit of school-level math. We’ll build up from the ground—starting from what a function is, all the way to partial derivatives, divergence, curl, and the vector calculus that powers every smoke, fire, and water sim you’ve ever seen.
By the end of this course, you’ll understand the mathematical language used by simulation professionals—and be fully prepared to move into Part 2, where we begin building a solver using pseudocode and Houdini microsolvers.
What You’ll Learn – Chapter Breakdown
Chapter 1: Differential Calculus
We’ll begin with Calculus 1 basics. What is a function? What’s a derivative? How do we compute them? We’ll go through common differentiation techniques with plenty of examples.
Chapter 2: Integral Calculus
We’ll cover integration as the reverse process of differentiation, and practice multiple integration techniques needed in simulation physics.
Chapter 3: Multivariable Calculus & Core Math for Simulations
This is where things get real. You’ll learn how to differentiate and integrate multivariable functions, and we’ll explore the most essential derivative operators in fluid simulation:
Gradient
Divergence
Curl
Laplacian
…and more.
We’ll also introduce the linear algebra concepts you’ll need—nothing too advanced, just what matters for your solver.
Important Note:
Building a full-featured solver like Houdini or RealFlow takes years of R&D and a large development team. This course doesn’t aim to replicate that—but it gives you the keys to enter the field. Whether you want to write your own simulation tools, better understand how solvers work, or grow as an FX TD, this course is your first step.
Part 2 :
In this second installment of our simulation series, we dive into the world of fluids—breaking down the complex math and simulation logic into approachable, practical concepts. If you’ve taken Part 1, you already have a solid grasp of the math foundations, and now you’ll learn how to use them to simulate fluids using step-by-step pseudocode and real Houdini examples.
Rather than attempting to build a full-featured commercial fluid solver (which takes years and a dedicated team), this course is designed as your launchpad—giving you the core ideas, math concepts, and solver techniques that form the backbone of every modern fluid simulator.
Chapter 1: ODEs, PDEs, and MatricesUnderstand the types of equations used in simulations—ordinary and partial differential equations—and how linear algebra and matrices support them.
Chapter 2: Fluid EquationsExplore the famous Navier-Stokes equations in a simplified, approachable way. Understand how they are derived and how they relate to real-world fluid behavior. We also introduce boundary conditions.
Chapter 3: MAC Grids & DiscretizationLearn how to discretize space and time for simulation. We’ll focus on the Marker-And-Cell (MAC) grid technique, widely used in fluid solvers.
Chapter 4: Advection TechniquesDive into the advection step of fluid simulations. You’ll understand the Semi-Lagrangian method, its simplicity, and its drawbacks (like artificial diffusion).
Chapter 5: Enforcing IncompressibilityThis is the heart of realistic fluids! Learn how to apply the incompressibility condition, solve the resulting linear system, and handle boundary conditions effectively.
Chapter 6: Simple Smoke Solver in HoudiniSee everything in action. You’ll build a simple smoke solver using Houdini’s DOP microsolvers, translating the theory into practical workflows—an essential step before writing your own solver code.
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