# Volume Fraction-Based Insertion Region Parameters
# Generated by calculate_volume_fraction_xi_over_D.py (self-contained version)
# This file should be included in LIGGGHTS after paramsParticle

# Tripod volume information
variable tripod_actual_volume equal 1.9634954085e-07
variable tripod_overlap_volume equal 0.0000000000e+00
variable tripod_overlap_percentage equal 0.000000
# Constant volume mode parameters
variable reference_sphere_radius equal 2.5000000000e-03  # R₀ reference radius
variable actual_sphere_radius equal 2.5000000000e-03  # Actual radius (same as reference for tripods)
variable v_rel_overlap equal 0.0000000000e+00  # Relative overlap volume (0 for tripods)
variable sphere_inflation_factor equal 1.000000  # Actual/Reference radius ratio

# Volume fraction parameters
variable total_particle_volume equal 1.9634954085e-06
variable insertion_region_volume equal 1.9634954085e-05
variable actual_volume_fraction equal 0.100000
variable target_volume_fraction equal 0.100000
variable volume_safety_factor equal 1.000000

# Insertion region dimensions (volume fraction method)
variable vf_insert_xy_size equal 6.2665706866e-02
variable vf_insert_xy_half equal 3.1332853433e-02
variable vf_insert_z_size equal 2.5668584287e-02
variable vf_insert_z_half equal 1.2834292144e-02
variable vf_tripod_width equal 2.2320508076e-02

# Insertion region bounds (volume fraction method)
variable vf_insert_xmin equal -3.1332853433e-02
variable vf_insert_xmax equal 3.1332853433e-02
variable vf_insert_ymin equal 3.1332853433e-02
variable vf_insert_ymax equal 9.3998560299e-02
variable vf_insert_zmin equal -1.2834292144e-02
variable vf_insert_zmax equal 1.2834292144e-02

# Comparison with bounding circle method
variable bounding_radius equal 1.1160254038e-02
variable tripod_bounding_area equal 3.9128935542e-04
variable area_ratio_vf_to_bounding equal 10.036028

# Corrected tripod geometry (xi/D method)
variable tripod_length equal 1.5000000000e-02  # Corrected tripod length for exact xi/D ratio
variable xi_over_D_actual equal 1.0000000000e+00  # Actual xi/D ratio achieved
variable xi_over_D_target equal 1.0000000000e+00  # Target xi/D ratio
