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Implement electric potential (also known as voltage) unit and quantity:

• PhQ::Unit::ElectricPotential
• PhQ::ElectricPotential

Implement electric resistance unit and quantity (typically measured in ohms):

• PhQ::Unit::ElectricResistance
• PhQ::ElectricResistance

Implement thermal conductivity models:

• PhQ::ThermalConductivityModel
• PhQ::ThermalConductivityModel::ConstantIsotropic
• PhQ::ThermalConductivityModel::TemperatureTableIsotropic
• PhQ::ThermalConductivityModel::ConstantOrthotropic
• PhQ::ThermalConductivityModel::TemperatureTableOrthotropic

For the orthotropic models, their constructors take 3 scalars and 2 directions. Modify direction 2 to be perpendicular to direction 1, and calculate direction 3 to be direction 1 cross direction 2. Construct the dyadic tensor from these.

Requires #205

Implement performance tests to measure the runtime performance of physical quantities in comparison to using raw floating-point numbers to represent the same data. Ensure physical quantities have about the same performance as raw floating-point numbers.

Implement molar heat capacity (heat capacity per mole) unit and quantities:

• PhQ::Unit::MolarHeatCapacity
• PhQ::MolarGasConstant
• PhQ::MolarIsobaricHeatCapacity
• PhQ::MolarIsochoricHeatCapacity

Requires #193

Implement a simple solver for eigenvalues and eigenvectors of a 3x3 matrix for the PhQ::Dyad and PhQ::SymmetricDyad classes.

References:

• https://en.wikipedia.org/wiki/Cubic_equation, in particular: https://en.wikipedia.org/wiki/Cubic_equation#General_cubic_formula
• https://stackoverflow.com/a/13328773
• https://www.calculatorsoup.com/calculators/algebra/cubicequation.php

Implement entropy units and physical quantities:

• PhQ::Unit::Entropy (J/K)
• PhQ::Entropy
• PhQ::Unit::SpecificEntropy (J/K/kg)
• PhQ::SpecificEntropy
• PhQ::Unit::MolarEntropy (J/K/mol)
• PhQ::MolarEntropy

Implement atmospheric models. Given a geopotential altitude, return the mass density, static pressure, temperature, sound speed, dynamic viscosity, and thermal conductivity of the air at that geopotential altitude. Create a state object that contains all of these quantities.

• PhQ::AtmosphericState
• PhQ::AtmosphericModel
• PhQ::AtmosphericModel::InternationalStandardAtmosphere
• PhQ::AtmosphericModel::UnitedStatesStandardAtmosphere1976

Implement dynamic viscosity models:

• PhQ::DynamicViscosityModel
• PhQ::DynamicViscosityModel::Constant
• PhQ::DynamicViscosityModel::TemperatureTable
• PhQ::DynamicViscosityModel::Sutherland

See https://en.wikipedia.org/wiki/Temperature_dependence_of_viscosity

Requires #205

Implement work quantities:

• PhQ::Work
• PhQ::SpecificWork
• PhQ::MolarWork

Requires #193

Implement electric resistivity unit and quantity (typically measured in ohm-metre):

• PhQ::Unit::ElectricResistivity
• PhQ::ElectricResistivity

Implement transport energy efficiency unit and quantity (distance traveled per energy used) (m/J) (inverse of force units).

• PhQ::Unit::TransportEnergyEfficiency (inverse of PhQ::Unit::TransportEnergyConsumption)
• PhQ::TransportEnergyEfficiency (inverse of PhQ::TransportEnergyConsumption)

Implement the moment physical quantity (force * distance, units of energy):

• PhQ::Moment

Implement the general concept of a temperature table: a template class that allows storing a quantity as a function of temperature for interpolation.

• PhQ::TemperatureTable

Implement mass density models:

• PhQ::MassDensityModel
• PhQ::MassDensityModel::Constant
• PhQ::MassDensityModel::Boussinesq (applies the buoyancy Boussinesq approximation)

Implement heat capacity models.

• PhQ::HeatCapacityModel
• PhQ::HeatCapacityModel::Constant
• PhQ::HeatCapacityModel::TemperatureTable

Requires #205

Implement principal stresses and strains for the PhQ::Stress, PhQ::Strain, and PhQ::StrainRate quantities. These should have a Principal() method that returns the principal stresses/strains. Perhaps also FirstPrincipal(), SecondPrincipal(), and ThirdPrincipal() classes.

Implement these classes:

• PhQ::PrincipalStress: Contains a PhQ::Stress and a PhQ::Direction.
• PhQ::PrincipalStresses: Contains three PhQ::PrincipalStress objects. Has First(), Second(), and Third() methods.
• PhQ::PrincipalStrain
• PhQ::PrincipalStrains
• PhQ::PrincipalStrainRate
• PhQ::PrincipalStrainRates

Requires #213

Salinity can be measured as mass of salt per volume of water or in mass of salt per mass of water:

• PhQ::Salinity (dimensionless; mass of salt per mass of water)
• PhQ::Unit::VolumetricSalinity (mass of salt per volume of water)
• PhQ::VolumetricSalinity (dimensional; mass of salt per volume of water)

Implement capacitance unit and quantity (typically measured in farads):

• PhQ::Unit::Capacitance
• PhQ::Capacitance

Implement thermodynamic state models, also known as equations of state:

• PhQ::ThermodynamicStateModel
• PhQ::ThermodynamicStateModel::IdealGas
• PhQ::ThermodynamicStateModel::BoussinesqFluid
• PhQ::ThermodynamicStateModel::StiffenedGas
• PhQ::ThermodynamicStateModel::TaitLiquid
• PhQ::ThermodynamicStateModel::IncompressibleFluid
• PhQ::ThermodynamicStateModel::IncompressibleIsothermalFluid

Implement electric conductance unit and quantity (typically measured in siemens):

• PhQ::Unit::ElectricConductance
• PhQ::ElectricConductance

Implement molar power (power per substance amount, e.g. W/mol) unit and quantity:

• PhQ::Unit::MolarPower
• PhQ::MolarPower

Requires #193

Implement electric conductivity unit and quantity (typically measured in siemens per metre):

• PhQ::Unit::ElectricConductivity
• PhQ::ElectricConductivity

Implement molar energy (energy per substance amount, e.g. J/mol) unit and quantity:

• PhQ::Unit::MolarEnergy
• PhQ::MolarEnergy

Implement molar mass unit and quantity (mass per substance amount, e.g. kg/mol):

• PhQ::Unit::MolarMass
• PhQ::MolarMass

Implement heat transfer quantities:

• PhQ::HeatTransfer (units of energy)
• PhQ::SpecificHeatTransfer (units of energy)
• PhQ::MolarHeatTransfer (units of energy)
• PhQ::HeatTransferRate (units of power)
• PhQ::SpecificHeatTransferRate (units of power)
• PhQ::MolarHeatTransferRate (units of power)

Requires #193

Implement parsing of text to physical quantities. Implement this method in Base.hpp:

template <typename Type>
[[nodiscard]] std::optional<Type> ParsePhysicalQuantity<Type>(const std::string_view text);

Support parsing plain text (as in the Print() methods), JSON messages, XML messages, and YAML messages.

Implement the general concept of a temperature and pressure table: a template class that allows storing a quantity as a function of temperature and pressure for two-dimensional interpolation.

• PhQ::TemperaturePressureTable

Implement inductance unit and quantity (typically measured in henry):

• PhQ::Unit::Inductance
• PhQ::Inductance