Understanding Fluid Solvers – Volume 2
by
MIX Training
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Understanding Fluid Solvers – Volume 2
In this second course in the series we will talk about fluids and how to simulate a fluid with equations which seems very hard but as promised, we will make things simple as possible.
00 - Fluid Solvers overview 02
5 mins
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1.1 - Introduction to PDEs and ODEs
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1.2 - Some Linear Algebra
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1.3 - Talking About Notation
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2.1 - Navier-Stokes Equations
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2.2 - Lagrangian and Eulerian Viewpoints
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2.3 - Material Derivative in vectors and Example
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2.4 - Incompressibility Condition_title
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2.5 - Dropping Viscosity
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2.6 - Boundary Conditions
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3.1 - What's numerical simulation
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3.2 - Discretization in time
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3.3 - Splitting Fluid Equations Part 1
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3.4 - Splitting Fluid Equations Part 2
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3.5 - Selecting the time step
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3.6 - Taylor Series
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3.7 - Finite Differencing
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3.8 - MAC Grid
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3.9 - Discretization in space
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3.10 - Estimating Velocity on staggered grid
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4.1 - Introduction to solving Advection Equation
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4.2 - Semi-Lagrangian Approach
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4.3 - Linear and Bilinear Interpolations
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4.4 - Numerical Diffusion
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4.5 - Final Notes on SL advection
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5.1 - Introduction to Finite Difference Linear Systems
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5.2 - Finite Differencing Linear Systems in 2D
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5.3 - Discrete Pressure Introduction
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5.4 - Discrete Pressure Part 2 Formulas
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5.5 - Discrete Pressure Part 3 Boundaries
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5.6 - Pressure Update Code
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5.7 - Discrete Divergence
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5.8 - Divergence Update Code
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5.9 - Pressure Equations
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5.10 - Update according to boundaries
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5.11 - Introduction to line search methods
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5.12 - Introduction to Conjugate Gradient Method
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5.13 - Storing 5 , 7 stencil matrix
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5.14 - Pseudo code for storing a matrix
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5.15 - Final notes on CG
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6.1 - Smoke Solver Example Introduction
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6.3 - Time Steps
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6.4 - Modified Smoke Solver In Depth
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6.5 - What's next
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Table of contents
Understanding Fluid Solvers – Volume 2
by
MIX Training
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Contents
Contents
Draft
00 - Fluid Solvers overview 02
Draft
00 - Fluid Solvers overview 02
Draft
Community
Draft
Community
Draft
1.1 - Introduction to PDEs and ODEs
Draft
1.1 - Introduction to PDEs and ODEs
Draft
1.2 - Some Linear Algebra
Draft
1.2 - Some Linear Algebra
Draft
1.3 - Talking About Notation
Draft
1.3 - Talking About Notation
Draft
2.1 - Navier-Stokes Equations
Draft
2.1 - Navier-Stokes Equations
Draft
2.2 - Lagrangian and Eulerian Viewpoints
Draft
2.2 - Lagrangian and Eulerian Viewpoints
Draft
2.3 - Material Derivative in vectors and Example
Draft
2.3 - Material Derivative in vectors and Example
Draft
2.4 - Incompressibility Condition_title
Draft
2.4 - Incompressibility Condition_title
Draft
2.5 - Dropping Viscosity
Draft
2.5 - Dropping Viscosity
Draft
2.6 - Boundary Conditions
Draft
2.6 - Boundary Conditions
Draft
3.1 - What's numerical simulation
Draft
3.1 - What's numerical simulation
Draft
3.2 - Discretization in time
Draft
3.2 - Discretization in time
Draft
3.3 - Splitting Fluid Equations Part 1
Draft
3.3 - Splitting Fluid Equations Part 1
Draft
3.4 - Splitting Fluid Equations Part 2
Draft
3.4 - Splitting Fluid Equations Part 2
Draft
3.5 - Selecting the time step
Draft
3.5 - Selecting the time step
Draft
3.6 - Taylor Series
Draft
3.6 - Taylor Series
Draft
3.7 - Finite Differencing
Draft
3.7 - Finite Differencing
Draft
3.8 - MAC Grid
Draft
3.8 - MAC Grid
Draft
3.9 - Discretization in space
Draft
3.9 - Discretization in space
Draft
3.10 - Estimating Velocity on staggered grid
Draft
3.10 - Estimating Velocity on staggered grid
Draft
4.1 - Introduction to solving Advection Equation
Draft
4.1 - Introduction to solving Advection Equation
Draft
4.2 - Semi-Lagrangian Approach
Draft
4.2 - Semi-Lagrangian Approach
Draft
4.3 - Linear and Bilinear Interpolations
Draft
4.3 - Linear and Bilinear Interpolations
Draft
4.4 - Numerical Diffusion
Draft
4.4 - Numerical Diffusion
Draft
4.5 - Final Notes on SL advection
Draft
4.5 - Final Notes on SL advection
Draft
5.1 - Introduction to Finite Difference Linear Systems
Draft
5.1 - Introduction to Finite Difference Linear Systems
Draft
5.2 - Finite Differencing Linear Systems in 2D
Draft
5.2 - Finite Differencing Linear Systems in 2D
Draft
5.3 - Discrete Pressure Introduction
Draft
5.3 - Discrete Pressure Introduction
Draft
5.4 - Discrete Pressure Part 2 Formulas
Draft
5.4 - Discrete Pressure Part 2 Formulas
Draft
5.5 - Discrete Pressure Part 3 Boundaries
Draft
5.5 - Discrete Pressure Part 3 Boundaries
Draft
5.6 - Pressure Update Code
Draft
5.6 - Pressure Update Code
Draft
5.7 - Discrete Divergence
Draft
5.7 - Discrete Divergence
Draft
5.8 - Divergence Update Code
Draft
5.8 - Divergence Update Code
Draft
5.9 - Pressure Equations
Draft
5.9 - Pressure Equations
Draft
5.10 - Update according to boundaries
Draft
5.10 - Update according to boundaries
Draft
5.11 - Introduction to line search methods
Draft
5.11 - Introduction to line search methods
Draft
5.12 - Introduction to Conjugate Gradient Method
Draft
5.12 - Introduction to Conjugate Gradient Method
Draft
5.13 - Storing 5 , 7 stencil matrix
Draft
5.13 - Storing 5 , 7 stencil matrix
Draft
5.14 - Pseudo code for storing a matrix
Draft
5.14 - Pseudo code for storing a matrix
Draft
5.15 - Final notes on CG
Draft
5.15 - Final notes on CG
Draft
6.1 - Smoke Solver Example Introduction
Draft
6.1 - Smoke Solver Example Introduction
Draft
6.3 - Time Steps
Draft
6.3 - Time Steps
Draft
6.4 - Modified Smoke Solver In Depth
Draft
6.4 - Modified Smoke Solver In Depth
Draft
6.5 - What's next
Draft
6.5 - What's next
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