Taylor Series Approximation F(r) ≈ a₀ + a₁Δr + a₂Δr²/2! + a₃Δr³/3!
1/6

Grid using the Cahn-Hilliard equation 
∂φ/∂t = M∇²(φ³ - φ - γ∇²φ)
2/6

Vorticity Equation 
Dω/Dt = (ω · ∇)u - ω(∇ · u) + (1/ρ²) (∇ρ × ∇p) + ν∇²ω
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Spiral using Euler's formula: 
e^(iθ) = cos(θ) + i·sin(θ)
4/6

Wave using simple sinusoidal motion
y = A·sin(x)
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Orbit using scalar orbit equation
 r = p / (1 + e * cos(theta))
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Taylor Series Approximation F(r) ≈ a₀ + a₁Δr + a₂Δr²/2! + a₃Δr³/3!
1/6

Grid using the Cahn-Hilliard equation 
∂φ/∂t = M∇²(φ³ - φ - γ∇²φ)
2/6

Vorticity Equation 
Dω/Dt = (ω · ∇)u - ω(∇ · u) + (1/ρ²) (∇ρ × ∇p) + ν∇²ω
3/6

Spiral using Euler's formula: 
e^(iθ) = cos(θ) + i·sin(θ)
4/6

Wave using simple sinusoidal motion
y = A·sin(x)
5/6

Orbit using scalar orbit equation
 r = p / (1 + e * cos(theta))
6/6