List of Physical Quantities¶

Within JCMsuite physical quantities have SI units (International System of Units). The following units are used:

Name	Unit Symbol
metre	$\runits{m}$
kilogram	$\runits{kg}$
second	$\runits{s}$
ampere	$\runits{A}$
kelvin	$\runits{K}$
coulomb	$\runits{C=A\cdot s}$
newton	$\runits{N=kg\cdot m /s^2}$
joule	$\runits{J=N\cdot m}$
watt	$\runits{W=J/s}$
volt	$\runits{V=W/A}$
ohm	$\runits{\Omega=V/A}$
siemens	$\runits{S=1/\Omega}$
tesla	$\runits{T=V\cdot s/ m^2}$
pascal	$\runits{Pa=N/m^2}$

The following table lists all physical quantities defined in JCMsuite:

Quantity	Symbol	Units	JCM Tag
mass density	$\rho$	$\runits{kg/m^3}$	Density
displacement	$\VField{u}$	$\runits{m}$	Displacement
electric charge density	$\rho$	$\runits{C/m^3}$	ElectricChargeDensity
electric conductivity	$\TField{\sigma}$	$\runits{S/m}$	ElectricConductivity
electric current density	$\VField{J}$	$\runits{A/m^2}$	ElectricCurrentDensity
electric field energy density	$w_e$	$\runits{J}/m^3$	ElectricFieldEnergyDensity
electric field strength	$\VField{E}$	$\runits{V/m}$	ElectricFieldStrength
electric flux density	$\VField{D}$	$\runits{C/m^2}$	ElectricFluxDensity
electric potential	$\SField{ \varphi}$	$\runits{V}$	ElectricPotential
Poynting vector	$\VField{S}$	$\runits{W/m^2}$	ElectromagneticFieldEnergyFluxDensity
emissivity	$\SField{ \varepsilon}$	dimensionless	Emissivity
force density	$\VField{F}_{V}$	$\runits{N/m^3}$	ForceDensity
force surface density	$\VField{F}_{S}$	$\runits{N/m^2}$	ForceSurfaceDensity
initial strain	$\TField{ \varepsilon^{(\init)}}$	dimensionless	InitialStrain
linear thermal expansibility	$\TField{\alpha}^ {(\mathrm{L})}$	$\runits{1/K}$	LinearThermalExpansibility
magnetic field energy density	$w_m$	$\runits{J}/m^3$	MagneticFieldEnergyDensity
magnetic field strength	$\VField{H}$	$\runits{A/m}$	MagneticFieldStrength
magnetic flux density	$\VField{B}$	$\runits{T}$	MagneticFluxDensity
Poisson ratio	$\TField{\nu}$	dimensionless	PoissonRatio
relative permeability	$\TField{ \mu}^ {(\mathrm{rel})}$	dimensionless	RelPermeability
relative permittivity	$\TField{ \varepsilon}^ {(\mathrm{rel})}$	dimensionless	RelPermittivity
specific heat capacity	$\TField{c}$	$\runits{J/kg/K}$	SpecificHeat
stiffness	$\TField{C}$	$\runits{Pa}$	Stiffness
strain	$\TField{ \varepsilon}$	dimensionless	Strain
stress	$\TField{ \sigma}$	$\runits{Pa}$	Stress
temperature	$\SField{T}$	$\runits{K}$	Temperature
thermal conductivity	$\TField{k}$	$\runits{W/m/K}$	ThermalConductivity
thermal flux density	$\VField{k}$	$\runits{W/m^2}$	ThermalFluxDensity
thermal source density	$\SField{q}$	$\runits{W/m^3}$	ThermalSourceDensity
Young’s modulus	$E$	$\runits{Pa}$	YoungModulus

The last column “JCM Tag” gives the tag names of the physical quantities as used in JCMsuite’s input and output files. The symbols in the second column are used in the documentation. Note that different quantities may have the same symbol.

Some physical quantities may be used as input data for JCMsuite. In this case a detailed description is given in the documentation of the input structure (follow the links behind the tag names).

Other physical quantities are implicitly defined by the simulation project. E.g., an electromagnetic field simulation gives rise to an electromagnetic field energy flux density (Poynting vector). Consult the documentation to the simulation project for a list of the implicitly defined quantities.