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List of Equations for User-Defined Field
Electric Analysis
|
Electric potential [V] |
COULOMB_VOLTAGE |
|
Plating thickness [m] |
COULOMB_PLATED_THICKNESS |
|
Current density (normal component) [A/m2] |
COULOMB_PLATED_J_NORMAL |
|
Electric field [V/m] |
COULOMB_ELECTRIC |
|
Electric flux density [C/m2] |
COULOMB_ELECTRIC_FLUX_DENSITY |
|
Current density [A/m2] |
COULOMB_ELECTRIC_CURRENT_DENSITY |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Magnetic analysis
|
Magnetic flux lines |
GAUSS_MAGNETIC_FLUX_LINE |
|
Joule loss density [W/m3] |
GAUSS_JOULE_LOSS_DENSITY |
|
Hysteresis loss density [W/m3] |
GAUSS_HYSTERESIS_LOSS_DENSITY |
|
Iron loss density [W/m3] |
GAUSS_IRON_LOSS_DENSITY |
|
Magnetic flux density [T] |
GAUSS_MAGNETIC_FLUX_DENSITY |
|
Magnetic field [A/m] |
GAUSS_MAGNETIC_FIELD |
|
Induced current density vector [A/m2] |
GAUSS_INDUCED_CURRENT_DENSITY |
|
Current density [A/m2] |
GAUSS_CURRENT_DENSITY |
|
Magnetic vector potential [Wb/m] |
GAUSS_VECTOR_POTENTIAL |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Electromagnetic Analysis
|
Electric energy density [J/m3] |
HERTZ_ELECTRIC_ENERGY |
|
Magnetic energy density [J/m3] |
HERTZ_MAGNETIC_ENERGY |
|
SAR [W/Kg] |
HERTZ_SAR |
|
Electric field [V/m] |
HERTZ_ELECTRIC_FIELD |
|
Electric flux density [C/m2] |
HERTZ_ELECTRIC_FLUX_DENSITY |
|
Magnetic field [A/m] |
HERTZ_MAGNETIC_FIELD |
|
Magnetic flux density [Wb/m2] |
HERTZ_MAGNETIC_FLUX_DENSITY |
|
Surface current density [A/m] |
HERTZ_SURFACE_CURRENT_DENSITY |
|
Current density [A/m2] |
HERTZ_CURRENT_DENSITY |
|
Poynting vector [J/m2/s] |
HERTZ_POYNTING_VECTOR |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Thermal Analysis
|
Temperature [deg] |
WATT_TEMPERATURE |
|
Radiosity [W/m2] |
WATT_RADIOSITY |
|
Coefficient of Heat transfer of convection [W/m2/deg] |
WATT_FLUID_HEAT_TRANSFER |
|
Heat density [W/m3] |
WATT_HEAT_DENSITY |
|
Turbulent thermal conductivity [W/m/deg] |
WATT_TURBULENT_THERMAL_CONDUCTIVITY |
|
Heat flux [W/m2] |
WATT_HEAT_CURRENT |
|
Temperature gradient [deg/m] |
WATT_TEMPERATURE_GRADIENT |
|
Heat flux on wall face [W/m2] |
WATT_WALL_HEAT_FLUX |
|
Residual [W] |
WATT_RESIDUAL |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Stress Analysis
|
Equivalent elastic strain |
GALILEO_EFF_ELASTIC_STRAIN |
|
Equivalent plastic strain |
GALILEO_EFF_PLASTIC_STRAIN |
|
Equivalent creep strain |
GALILEO_EFF_CREEP_STRAIN |
|
Accumulated equivalent plastic strain |
GALILEO_ACM_EFF_PLASTIC_STRAIN |
|
Accumulated equivalent creep strain |
GALILEO_ACM_EFF_CREEP_STRAIN |
|
Accumulated equivalent inelastic strain |
GALILEO_ACM_EFF_NON_ELASTIC_STRAIN |
|
Strain energy density [J/m3] |
GALILEO_STRAIN_ENERGY |
|
Displacement [m] |
GALILEO_DISPLACEMENT |
|
Velocity [m/s] |
GALILEO_VELOCITY |
|
Acceleration [m/s2] |
GALILEO_ACCELERATION |
|
Coordinates after deformation [m] |
GALILEO_DEFORMED_COORDINATE |
|
Stress [Pa] |
GALILEO_STRESS |
|
Strain (total) |
GALILEO_STRAIN |
|
Initial strain (thermal) |
GALILEO_STRAIN_IT |
|
Initial strain (non-thermal) |
GALILEO_STRAIN_INT |
|
Elastic strain |
GALILEO_STRAIN_E |
|
Plastic strain |
GALILEO_STRAIN_P |
|
Creep strain |
GALILEO_STRAIN_C |
|
Equivalent inelastic strain magnitude of element |
GALILEOLIFE_AMP_EFF_NON_ELASTIC_STRAIN |
|
Remaining life of element [cycle] |
GALILEOLIFE_REMAIN_LIFE |
|
Initial stress component of displacement[m] |
GALILEO_STATIC_DISPLACEMENT |
|
Initial stress component of strain (total) |
GALILEO_STATIC_STRAIN |
|
Initial stress component of mechanical stress [Pa] |
GALILEO_STATIC_STRESS |
|
Volume change ratio |
GALILEO_VOLUME_CHANGE_RATE |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Piezoelectric Analysis
|
Electric potential [V] |
RAYLEIGH_VOLTAGE |
|
Displacement [m] |
RAYLEIGH_DISPLACEMENT |
|
Electric field [V/m] |
RAYLEIGH_ELECTRIC_FIELD |
|
Electric flux density [C/m2] |
RAYLEIGH_ELECTRIC_FLUX_DENSITY |
|
Coordinates after deformation [m] |
RAYLEIGH_DEFORMED_COORDINATE |
|
Stress [Pa] |
RAYLEIGH_STRESS |
|
Strain (total) |
RAYLEIGH_STRAIN |
|
Initial strain (thermal) |
RAYLEIGH_STRAIN_IT |
|
Initial strain (non-thermal) |
RAYLEIGH_STRAIN_INT |
|
Elastic strain |
RAYLEIGH_STRAIN_E |
|
Initial stress component of displacement[m] |
RAYLEIGH_STATIC_DISPLACEMENT |
|
Initial stress component of strain (total) |
RAYLEIGH_STATIC_STRAIN |
|
Initial stress component of mechanical stress [Pa] |
RAYLEIGH_STATIC_STRESS |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Fluid Analysis
|
Pressure (static pressure) [Pa] |
BERNOULLI_PRESSURE |
|
Pressure (total pressure) [Pa] |
BERNOULLI_TOTAL_PRESSURE |
|
Courant Number |
BERNOULLI_COURANT_NUMBER |
|
K_Turbulent flow energy [m2/m2] |
BERNOULLI_K |
|
epsilon_energy dissipation rate [m2/s3] |
BERNOULLI_EPS |
|
Energy generation rate [m2/s3] |
BERNOULLI_GENERAT ION |
|
Coefficient of Turbulent Viscosity [Pa*s] |
BERNOULLI_TURBULENT_VISCOSITY |
|
Turbulent Viscosity Ratio |
BERNOULLI_TURBULENT_VISCOSITY_RATIO |
|
y_height of 1st layer mesh of wall face [m] |
BERNOULLI_Y |
|
y_dimensionless height of 1st layer mesh of wall face [m] |
BERNOULLI_YPLUS |
|
Continuity residual [m3/s] |
BERNOULLI_CONTINUITY_RESIDUAL |
|
K residual [kg*m2/s3] |
BERNOULLI_K_RESIDUAL |
|
ε residual [kg・m2/s4] |
BERNOULLI_EPS_RESIDUAL |
|
y_height from wall face [m] |
BERNOULLI_Y_FROM_WALL |
|
Rey_Reynolds number of wall face |
BERMPILLI_REY |
|
Boundary layer domain |
BERNOULLI_BOUNDARY_LAYER |
|
Non-flow path domain |
BERNOULLI_STAGNATION |
|
Flow velocity [m/s] |
BERNOULLI_VELOCITY |
|
Vorticity [/s] |
BERNOULLI_VORTICITY |
|
Buoyancy [N/m3] |
BERNOULLI_BUOYANT_FORCE |
|
Wall shear stress [Pa] |
BERNOULLI_WALL_SHEAR_STRESS |
|
Flow velocity residual [N] |
BERNOULLI_VELOCISTY_RESIDUAL |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Diffusion Analysis of Fluid Solver
|
Value Mole Fraction Mole Fraction [%] Mass Fraction Mass Fraction [%] Low Concentration [ppm] |
PASSIVESCALAR_POTENTIAL |
|
Coefficient of Turbulent Diffusion [m2/s] |
PASSIVESCALAR_TURBULENT_DIFFUSIVITY |
|
Gradient [1/m] Molar Concentration Gradient [kg/m4] Mole Fraction Gradient [/m] Mole Fraction Gradient [%/m] Mass Fraction Gradient [/m] Mass Fraction Gradient [%/m] Low Concentration Gradient [ppm/m] |
PASSIVESCALAR_GRADIENT |
|
Flux [m/s] Molar Concentration Flux [mol/m2/s] Mass Concentration Flux [kg/m2/s] Mole Fraction Flux [m/s] Mole Fraction Flux [% m/s] Mass Fraction Flux [m/s] Mass Fraction Flux [% m/s] Low Concentration Flux [ppm*m/s] |
PASSIVESCALAR_FLUX |
|
Air Age |
PASSIVESCALAR_AGE |
|
Air Residual Lifetime |
PASSIVESCALAR_LIFE |
|
Air Lifetime |
PASSIVESCALAR_SPAN |
|
Age of Air [Normalized] |
PASSIVESCALAR_AGE_NORMALIZE |
|
Residual Lifetime of Air [Normalized] |
PASSIVESCALAR_LIFE_NORMALIZE |
|
Lifetime of Air [Normalized] |
PASSIVESCALAR_SPAN_NORMALIZE |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Acoustic Analysis
|
Sound pressure [Pa] |
MACH_PRESSURE |
|
Sound pressure level [dB] |
MACH_PRESSURE_LEVEL |
|
Particle velocity [m/s] |
MACH_PARTICLE_VELOCITY |
|
Acoustic intensity [W/m2] |
MACH_SOUND_INTENSITY |
|
A-weighted sound pressure level [dBA] |
MACH_PRESSURE_LEVEL_A |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Simple Fluid Analysis
|
Velocity potential [m2/s] |
PASCAL_VELOCITY_POTENTIAL |
|
Flow velocity [m/s] |
PASCAL_VELOCITY |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Mesh
|
Quality of mesh (contour) |
PYTHAGORAS_MESH_QUALITY_POT |
|
Factor for natural convection, C |
PYTHAGORAS_MESH_NATURAL_C_POT |
|
Characteristic length of natural convection, L |
PYTHAGORAS_MESH_NATURAL_L_POT |
|
Path length of forced convection (total) |
PYTHAGORAS_MESH_FORCED_L1_POT |
|
Path length of forced convection (heat source) |
PYTHAGORAS_MESH_FORCED_L2_POT |
|
Quality of mesh (vector) |
PYTHAGORAS_MESH_QUALITY_VEC |
If fields are calculated by gradient, divergence, and rotation, "GRAD_", "DIV_", and "ROT_" are respectively added at the head of the expression.
Miscellaneous
|
Mode |
MODE |
|
Vector X component |
VEC_X |
|
Vector Y component |
VEC_Y |
|
Vector Z component |
VEC_Z |
|
Vector length |
VEC_LENGTH |
|
Tensor XX component |
TEN_XX |
|
Tensor YY component |
TEN_YY |
|
Tensor ZZ component |
TEN_ZZ |
|
Tensor YZ component |
TEN_YZ |
|
Tensor ZX component |
TEN_ZX |
|
Tensor XY component |
TEN_XY |
|
Tensor ZY component |
TEN_ZY |
|
Tensor XZ component |
TEN_XZ |
|
Tensor YX component |
TEN_YX |
|
Tensor YZ component [absolute value] |
TEN_YZ_ABS |
|
Tensor Theta ZX component [absolute value] |
TEN_ZX_ABS |
|
Tensor XY component [absolute value] |
TEN_XY_ABS |
|
Tensor principal value 1 |
TEN_P1 |
|
Tensor principal value 2 |
TEN_P2 |
|
Tensor principal value 3 |
TEN_P3 |
|
Tensor XY principal value 1 |
TEN_XY_P1 |
|
Tensor XY principal value 2 |
TEN_XY_P2 |
|
Tensor XZ principal value 1 |
TEN_XZ_P1 |
|
Tensor XZ principal value 2 |
TEN_XZ_P2 |
|
Tensor volumetric value *1 |
TEN_VOLUME |
|
Tensor relative value *2 |
TEN_EQUIV |
|
Tensor shearing value *3 |
TEN_R |
Equations will differ depending on the tensors. See Stress Type and Strain Type for the details.
*1 Indicates hydrostatic pressure/volumetric strain for stress tensor/strain tensor respectively.
*2 Indicates von Mises equivalent stress/volumetric strain for stress tensor/strain tensor respectively.
*3 Indicates maximum shearing stress/maximum shearing strain for stress tensor/strain tensor respectively.


