FUSE_fusion_analysis/fusion_learning_example.jl at main · Sarvesh2304/FUSE_fusion_analysis · GitHub

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#!/usr/bin/env julia

# Fusion Learning Example
# This script demonstrates simplified fusion physics concepts.

println("=== Fusion Physics Learning Example ===")
println("Understanding textbook fusion-physics concepts\n")

# Basic fusion physics parameters
println("=== Basic Fusion Physics Parameters ===")

# Tokamak geometry
R₀ = 3.0      # Major radius (m)
a = 1.0       # Minor radius (m)
B₀ = 5.0      # Magnetic field strength (T)
Iₚ = 2.0      # Plasma current (MA)
q₉₅ = 3.5     # Safety factor at 95% flux surface

println("Tokamak Geometry:")
println("  Major radius (R₀): $(R₀) m")
println("  Minor radius (a): $(a) m")
println("  Aspect ratio (R₀/a): $(R₀/a)")
println("  Magnetic field (B₀): $(B₀) T")
println("  Plasma current (Iₚ): $(Iₚ) MA")
println("  Safety factor q₉₅: $(q₉₅)")

# Plasma parameters
nₑ = 5e19     # Electron density (m⁻³)
Tₑ = 5e3      # Electron temperature (eV)
Tᵢ = 4e3      # Ion temperature (eV)
β = 0.03      # Plasma beta (%)

println("\nPlasma Parameters:")
println("  Electron density (nₑ): $(nₑ/1e19) × 10¹⁹ m⁻³")
println("  Electron temperature (Tₑ): $(Tₑ/1e3) keV")
println("  Ion temperature (Tᵢ): $(Tᵢ/1e3) keV")
println("  Plasma beta (β): $(β*100)%")

# Fusion physics calculations
println("\n=== Fusion Physics Calculations ===")

# Lawson criterion for fusion
τₑ = 1.0      # Energy confinement time (s)
P_fusion = 500e6  # Fusion power (W)

# Lawson parameter
nτₑ = nₑ * τₑ
println("Lawson Criterion:")
println("  nτₑ = $(nτₑ/1e20) × 10²⁰ m⁻³·s")
println("  Required for breakeven: ~10²⁰ m⁻³·s")

# Fusion power density
V_plasma = π * a^2 * 2π * R₀  # Approximate plasma volume
P_density = P_fusion / V_plasma
println("  Fusion power density: $(P_density/1e6) MW/m³")

# Transport physics
println("\n=== Transport Physics ===")

# Neoclassical transport coefficients
D_neoclassical = 1e-4  # m²/s
χ_neoclassical = 2e-4  # m²/s

println("Transport Coefficients:")
println("  Neoclassical diffusion (D): $(D_neoclassical*1e4) cm²/s")
println("  Neoclassical heat diffusivity (χ): $(χ_neoclassical*1e4) cm²/s")

# Turbulent transport (TGLF-like)
D_turbulent = 1e-3     # m²/s
χ_turbulent = 2e-3     # m²/s

println("  Turbulent diffusion (D): $(D_turbulent*1e4) cm²/s")
println("  Turbulent heat diffusivity (χ): $(χ_turbulent*1e4) cm²/s")

# H-mode physics
println("\n=== H-mode Physics ===")

# L-H transition threshold
P_threshold = 2.0e6  # MW
println("L-H Transition:")
println("  Power threshold: $(P_threshold/1e6) MW")
println("  H-mode factor: ~2x improvement in confinement")

# Pedestal parameters
T_pedestal = 2e3      # eV
n_pedestal = 3e19     # m⁻³
println("  Pedestal temperature: $(T_pedestal/1e3) keV")
println("  Pedestal density: $(n_pedestal/1e19) × 10¹⁹ m⁻³")

# Stability analysis
println("\n=== Stability Analysis ===")

# MHD stability
β_N = 2.5      # Normalized beta
println("MHD Stability:")
println("  Normalized beta (β_N): $(β_N)")
println("  β_N limit: ~3-4 for typical tokamaks")

# Ballooning mode stability
α = 1.2       # Ballooning parameter
println("  Ballooning parameter (α): $(α)")
println("  α limit: ~1.5-2.0")

println("\n=== Topics Introduced ===")
println("1. Equilibrium calculations")
println("2. Neoclassical transport")
println("3. Turbulent transport (TGLF)")
println("4. Power balance analysis")
println("5. Stability analysis")
println("6. H-mode physics")
println("7. Pedestal modeling")
println("8. Real device simulations (DIII-D, JET, ITER)")

println("\n=== Next Steps ===")
println("Use validated specialist codes and experimental datasets for research.")

println("\n=== Example Complete ===")
println("This demonstrates simplified educational physics concepts; it does not load FUSE.jl.")