Building Fluid Solvers For Computer Graphics Part 2

سرفصل های دوره

Learn how fluid solvers are built from scratch without prior knowledge. This second course covers solvers in depth

1. ODEs, PDEs and matrices

1. Introduction to PDEs and ODEs

2. Some Linear Algebra

3. Talking About Notation

2. Fluid Equations

1. Navier-Stokes Equations

2. Lagrangian and Eulerian Viewpoints

3. Material derivaive in vectors and Example

4. Incompressibility Condition

5. Dropping Viscosity

6. Boundary Conditions

3. MAC Grids, discretization in time and space

1. Whats numerical simulation

2. Discretization in time

3. Splitting Fluid Equations Part1

4. Splitting Fluid Equations Part2

5. Selecting the time step

6. Taylor Series

7. Finite Differencing

8. MAC Grid

9. Discretization in space

10. Estimating Velocity on staggered grid

4. Advection

1. Introduction to solving Advection Equation

2. Semi-Lagrangian Approach

3. Linear and Bilinear Interpolations

4. Numerical Diffusion

5. Final Notes on SL advection

5. Making fluid incompressible

1. Introduction to Finite Difference Linear Systems

2. Finite Differncing Linear Systems in 2D

3. The Discrete Pressue Introduction

4. The Discrete Pressure Part 2 Formulas

5. The Discrete Pressure Part 3 Boundaries

6. Pressure Update Code

7. The Discrete Divergence

8. Divergence Update Code

9. Pressure Equations

10. Update according to boundaries

11. Introduction to line search methods

12. Introduction to Conjugate Gradient Method

13. Storing 5 , 7 stencil matrix

14. Pseucode for storing A matrix

15. Final notes on CG

6. Simple Smoke Solver

1. Introduction

2. Simple Smoke Solver

3. Time Steps

4. Modified Smoke Solver In Depth

5. Whats next

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تولید کننده: Udemy