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MultiTransport Class Reference
Transport Properties

Class MultiTransport implements multicomponent transport properties for ideal gas mixtures. More...

`#include <MultiTransport.h>`

Inheritance diagram for MultiTransport:
[legend]

## Detailed Description

Class MultiTransport implements multicomponent transport properties for ideal gas mixtures.

The implementation generally follows the procedure outlined in Kee, et al. [kee2003].

Definition at line 25 of file MultiTransport.h.

## Public Member Functions
| MultiTransport (ThermoPhase *thermo=0)
| default constructor
string | transportModel () const override
| Identifies the model represented by this Transport object.
void | getThermalDiffCoeffs (double *const dt) override
| Return the thermal diffusion coefficients (kg/m/s)
double | thermalConductivity () override
| Returns the mixture thermal conductivity in W/m/K.
void | getMultiDiffCoeffs (const size_t ld, double *const d) override
| Return the Multicomponent diffusion coefficients. Units: [m^2/s].
void | getSpeciesFluxes (size_t ndim, const double *const grad_T, size_t ldx, const double *const grad_X, size_t ldf, double *const fluxes) override
| Get the species diffusive mass fluxes wrt to the mass averaged velocity, given the gradients in mole fraction and temperature.
void | getMolarFluxes (const double *const state1, const double *const state2, const double delta, double *const fluxes) override
| Get the molar diffusional fluxes [kmol/m^2/s] of the species, given the thermodynamic state at two nearby points.
void | getMassFluxes (const double *state1, const double *state2, double delta, double *fluxes) override
| Get the mass diffusional fluxes [kg/m^2/s] of the species, given the thermodynamic state at two nearby points.
void | init (ThermoPhase *thermo, int mode=0, int log_level=0) override
| Initialize a transport manager.
Public Member Functions inherited from GasTransport
double | viscosity () override
| Viscosity of the mixture (kg /m /s)
void | getSpeciesViscosities (double *const visc) override
| Get the pure-species viscosities.
void | getBinaryDiffCoeffs (const size_t ld, double *const d) override
| Returns the matrix of binary diffusion coefficients.
void | getMixDiffCoeffs (double *const d) override
| Returns the Mixture-averaged diffusion coefficients [m^2/s].
void | getMixDiffCoeffsMole (double *const d) override
| Returns the mixture-averaged diffusion coefficients [m^2/s].
void | getMixDiffCoeffsMass (double *const d) override
| Returns the mixture-averaged diffusion coefficients [m^2/s].
void | getViscosityPolynomial (size_t i, double *coeffs) const override
| Return the polynomial fits to the viscosity of species i.
void | getConductivityPolynomial (size_t i, double *coeffs) const override
| Return the temperature fits of the heat conductivity of species i.
void | getBinDiffusivityPolynomial (size_t i, size_t j, double *coeffs) const override
| Return the polynomial fits to the binary diffusivity of species pair (i, j)
void | getCollisionIntegralPolynomial (size_t i, size_t j, double *astar_coeffs, double *bstar_coeffs, double *cstar_coeffs) const override
| Return the polynomial fits to the collision integral of species pair (i, j)
void | setViscosityPolynomial (size_t i, double *coeffs) override
| Modify the polynomial fits to the viscosity of species i.
void | setConductivityPolynomial (size_t i, double *coeffs) override
| Modify the temperature fits of the heat conductivity of species i.
void | setBinDiffusivityPolynomial (size_t i, size_t j, double *coeffs) override
| Modify the polynomial fits to the binary diffusivity of species pair (i, j)
void | setCollisionIntegralPolynomial (size_t i, size_t j, double *astar_coeffs, double *bstar_coeffs, double *cstar_coeffs, bool actualT) override
| Modify the polynomial fits to the collision integral of species pair (i, j)
bool | CKMode () const override
| Boolean indicating the form of the transport properties polynomial fits.
Public Member Functions inherited from Transport
| Transport (ThermoPhase *thermo=0, size_t ndim=npos)
| Constructor.
| Transport (const Transport &)=delete
Transport & | operator= (const Transport &)=delete
string | transportType () const
| Identifies the Transport object type.
ThermoPhase & | thermo ()
| Phase object.
bool | ready ()
| Returns true if the transport manager is ready for use.
void | setNDim (const int ndim)
| Set the number of dimensions to be expected in flux expressions.
size_t | nDim () const
| Return the number of dimensions in flux expressions.
void | checkSpeciesIndex (size_t k) const
| Check that the specified species index is in range.
void | checkSpeciesArraySize (size_t kk) const
| Check that an array size is at least nSpecies().
virtual double | getElectricConduct ()
| Compute the mixture electrical conductivity (S m-1) at the current conditions of the phase (Siemens m-1)
virtual void | getElectricCurrent (int ndim, const double *grad_T, int ldx, const double *grad_X, int ldf, const double *grad_V, double *current)
| Compute the electric current density in A/m^2.
virtual void | getSpeciesFluxesES (size_t ndim, const double *grad_T, size_t ldx, const double *grad_X, size_t ldf, const double *grad_Phi, double *fluxes)
| Get the species diffusive mass fluxes wrt to the mass averaged velocity, given the gradients in mole fraction, temperature and electrostatic potential.
virtual void | getSpeciesVdiff (size_t ndim, const double *grad_T, int ldx, const double *grad_X, int ldf, double *Vdiff)
| Get the species diffusive velocities wrt to the mass averaged velocity, given the gradients in mole fraction and temperature.
virtual void | getSpeciesVdiffES (size_t ndim, const double *grad_T, int ldx, const double *grad_X, int ldf, const double *grad_Phi, double *Vdiff)
| Get the species diffusive velocities wrt to the mass averaged velocity, given the gradients in mole fraction, temperature, and electrostatic potential.
virtual void | setParameters (const int type, const int k, const double *const p)
| Set model parameters for derived classes.
AnyMap | parameters () const
| Return the parameters for a phase definition which are needed to reconstruct an identical object using the newTransport function.
void | setVelocityBasis (VelocityBasis ivb)
| Sets the velocity basis.
VelocityBasis | getVelocityBasis () const
| Gets the velocity basis.
virtual double | bulkViscosity ()
| The bulk viscosity in Pa-s.
virtual double | ionConductivity ()
| The ionic conductivity in 1/ohm/m.
virtual void | getSpeciesIonConductivity (double *const ionCond)
| Returns the pure species ionic conductivity.
virtual void | mobilityRatio (double *mobRat)
| Returns the pointer to the mobility ratios of the species in the phase.
virtual void | getSpeciesMobilityRatio (double **mobRat)
| Returns the pure species limit of the mobility ratios.
virtual double | electricalConductivity ()
| The electrical conductivity (Siemens/m).
virtual void | getMobilities (double *const mobil_e)
| Get the Electrical mobilities (m^2/V/s).
virtual void | getFluidMobilities (double *const mobil_f)
| Get the fluid mobilities (s kmol/kg).
virtual void | setThermo (ThermoPhase &thermo)
| Specifies the ThermoPhase object.
virtual void | setRoot (shared_ptr< Solution > root)
| Set root Solution holding all phase information.

## Protected Member Functions
void | update_T () override
| Update basic temperature-dependent quantities if the temperature has changed.
void | update_C () override
| Update basic concentration-dependent quantities if the concentrations have changed.
void | updateThermal_T ()
| Update the temperature-dependent terms needed to compute the thermal conductivity and thermal diffusion coefficients.
void | eval_L0000 (const double *const x)
| Evaluate the L0000 matrices.
void | eval_L0010 (const double *const x)
| Evaluate the L0010 matrices.
void | eval_L1000 ()
| Evaluate the L1000 matrices.
void | eval_L0100 ()
void | eval_L0001 ()
void | eval_L1010 (const double *x)
void | eval_L1001 (const double *x)
void | eval_L0110 ()
void | eval_L0101 (const double *x)
bool | hasInternalModes (size_t j)
double | pressure_ig ()
virtual void | solveLMatrixEquation ()
Protected Member Functions inherited from GasTransport
| GasTransport (ThermoPhase *thermo=0)
virtual void | updateViscosity_T ()
| Update the temperature-dependent viscosity terms.
virtual void | updateSpeciesViscosities ()
| Update the pure-species viscosities.
virtual void | updateDiff_T ()
| Update the binary diffusion coefficients.
virtual void | setupCollisionParameters ()
| Setup parameters for a new kinetic-theory-based transport manager for low-density gases.
void | setupCollisionIntegral ()
| Setup range for polynomial fits to collision integrals of Monchick & Mason [monchick1961].
void | getTransportData ()
| Read the transport database.
void | makePolarCorrections (size_t i, size_t j, double &f_eps, double &f_sigma)
| Corrections for polar-nonpolar binary diffusion coefficients.
void | fitCollisionIntegrals (MMCollisionInt &integrals)
| Generate polynomial fits to collision integrals.
virtual void | fitProperties (MMCollisionInt &integrals)
| Generate polynomial fits to the viscosity \( \eta \) and conductivity \( \lambda \).
virtual void | fitDiffCoeffs (MMCollisionInt &integrals)
| Generate polynomial fits to the binary diffusion coefficients.
void | getBinDiffCorrection (double t, MMCollisionInt &integrals, size_t k, size_t j, double xk, double xj, double &fkj, double &fjk)
| Second-order correction to the binary diffusion coefficients.
Protected Member Functions inherited from Transport
void | finalize ()
| Enable the transport object for use.

## Protected Attributes
double | m_thermal_tlast
DenseMatrix | m_astar
| Dense matrix for astar.
DenseMatrix | m_bstar
| Dense matrix for bstar.
DenseMatrix | m_cstar
| Dense matrix for cstar.
vector< double > | m_cinternal
vector< double > | m_sqrt_eps_k
DenseMatrix | m_log_eps_k
vector< double > | m_frot_298
vector< double > | m_rotrelax
double | m_lambda
DenseMatrix | m_Lmatrix
DenseMatrix | m_aa
vector< double > | m_a
vector< double > | m_b
vector< double > | m_spwork1
vector< double > | m_spwork2
vector< double > | m_spwork3
vector< double > | m_molefracs_last
| Mole fraction vector from last L-matrix evaluation.
bool | m_l0000_ok
| Boolean indicating viscosity is up to date.
bool | m_lmatrix_soln_ok
bool | m_debug
Protected Attributes inherited from GasTransport
vector< double > | m_molefracs
| Vector of species mole fractions.
double | m_viscmix = 0.0
| Internal storage for the viscosity of the mixture (kg /m /s)
bool | m_visc_ok = false
| Update boolean for mixture rule for the mixture viscosity.
bool | m_viscwt_ok = false
| Update boolean for the weighting factors for the mixture viscosity.
bool | m_spvisc_ok = false
| Update boolean for the species viscosities.
bool | m_bindiff_ok = false
| Update boolean for the binary diffusivities at unit pressure.
int | m_mode = 0
| Type of the polynomial fits to temperature.
DenseMatrix | m_phi
| m_phi is a Viscosity Weighting Function. size = m_nsp * n_nsp
vector< double > | m_spwork
| work space length = m_kk
vector< double > | m_visc
| vector of species viscosities (kg /m /s).
vector< vector< double > > | m_visccoeffs
| Polynomial fits to the viscosity of each species.
vector< double > | m_mw
| Local copy of the species molecular weights.
DenseMatrix | m_wratjk
| Holds square roots of molecular weight ratios.
DenseMatrix | m_wratkj1
| Holds square roots of molecular weight ratios.
vector< double > | m_sqvisc
| vector of square root of species viscosities sqrt(kg /m /s).
vector< double > | m_polytempvec
| Powers of the ln temperature, up to fourth order.
double | m_temp = -1.0
| Current value of the temperature at which the properties in this object are calculated (Kelvin).
double | m_kbt = 0.0
| Current value of Boltzmann constant times the temperature (Joules)
double | m_sqrt_t = 0.0
| current value of temperature to 1/2 power
double | m_logt = 0.0
| Current value of the log of the temperature.
double | m_t14 = 0.0
| Current value of temperature to 1/4 power.
vector< vector< double > > | m_diffcoeffs
| Polynomial fits to the binary diffusivity of each species.
DenseMatrix | m_bdiff
| Matrix of binary diffusion coefficients at the reference pressure and the current temperature Size is nsp x nsp.
vector< vector< double > > | m_condcoeffs
| temperature fits of the heat conduction
vector< vector< int > > | m_poly
| Indices for the (i,j) interaction in collision integral fits.
vector< vector< double > > | m_omega22_poly
| Fit for omega22 collision integral.
vector< vector< int > > | m_star_poly_uses_actualT
| Flag to indicate for which (i,j) interaction pairs the actual temperature is used instead of the reduced temperature.
vector< vector< double > > | m_astar_poly
| Fit for astar collision integral.
vector< vector< double > > | m_bstar_poly
| Fit for bstar collision integral.
vector< vector< double > > | m_cstar_poly
| Fit for cstar collision integral.
vector< double > | m_zrot
| Rotational relaxation number for each species.
vector< double > | m_crot
| Dimensionless rotational heat capacity of each species.
vector< bool > | m_polar
| Vector of booleans indicating whether a species is a polar molecule.
vector< double > | m_alpha
| Polarizability of each species in the phase.
vector< double > | m_eps
| Lennard-Jones well-depth of the species in the current phase.
vector< double > | m_sigma
| Lennard-Jones diameter of the species in the current phase.
DenseMatrix | m_reducedMass
| This is the reduced mass of the interaction between species i and j.
DenseMatrix | m_diam
| hard-sphere diameter for (i,j) collision
DenseMatrix | m_epsilon
| The effective well depth for (i,j) collisions.
DenseMatrix | m_dipole
| The effective dipole moment for (i,j) collisions.
DenseMatrix | m_delta
| Reduced dipole moment of the interaction between two species.
vector< double > | m_w_ac
| Pitzer acentric factor.
vector< double > | m_disp
| Dispersion coefficient.
vector< double > | m_quad_polar
| Quadrupole polarizability.
int | m_log_level = 0
| Level of verbose printing during initialization.
Protected Attributes inherited from Transport
ThermoPhase * | m_thermo
| pointer to the object representing the phase
bool | m_ready = false
| true if finalize has been called
size_t | m_nsp = 0
| Number of species.
size_t | m_nDim
| Number of dimensions used in flux expressions.
int | m_velocityBasis = VB_MASSAVG
| Velocity basis from which diffusion velocities are computed.
std::weak_ptr< Solution > | m_root
| reference to Solution

## Constructor & Destructor Documentation

## ◆ MultiTransport()

MultiTransport | ( | ThermoPhase * | thermo = `0` | ) |

default constructor

Parameters

  thermo | Optional parameter for the pointer to the ThermoPhase object

Definition at line 37 of file MultiTransport.cpp.

## Member Function Documentation

## ◆ transportModel()

string transportModel | ( |  | ) | const
| inline override virtual

Identifies the model represented by this Transport object.

Each derived class should override this method to return a meaningful identifier.

Since
  New in Cantera 3.0. The name returned by this method corresponds to the canonical name used in the YAML input format.

Reimplemented from Transport.

Definition at line 34 of file MultiTransport.h.

## ◆ getThermalDiffCoeffs()

void getThermalDiffCoeffs | ( | double *const | dt | ) |
| override virtual

Return the thermal diffusion coefficients (kg/m/s)

Eqn. (12.126) of Kee et al. [kee2003] displays how they are calculated. The reference work is from Dixon-Lewis [dixon-lewis1968].

Eqns. (12.168) of Kee et al. [kee2003] shows how they are used in an expression for the species flux.

Parameters

  dt | Vector of thermal diffusion coefficients. Units = kg/m/s

Reimplemented from Transport.

Definition at line 99 of file MultiTransport.cpp.

## ◆ thermalConductivity()

double thermalConductivity | ( |  | ) |
| override virtual

Returns the mixture thermal conductivity in W/m/K.

Units are in W / m K or equivalently kg m / s3 K

Returns
  thermal conductivity in W/m/K.

Reimplemented from Transport.

Definition at line 89 of file MultiTransport.cpp.

## ◆ getMultiDiffCoeffs()

void getMultiDiffCoeffs | ( | const size_t | ld,
|  | double *const | d
| ) |  |
| override virtual

Return the Multicomponent diffusion coefficients. Units: [m^2/s].

If the transport manager implements a multicomponent diffusion model, then this method returns the array of multicomponent diffusion coefficients. Otherwise it throws an exception.

Parameters

  [in] | ld | The dimension of the inner loop of d (usually equal to m_nsp)
  [out] | d | flat vector of diffusion coefficients, fortran ordering. d[ld*j+i] is the D_ij diffusion coefficient (the diffusion coefficient for species i due to concentration gradients in species j). Units: m^2/s

Reimplemented from Transport.

Definition at line 355 of file MultiTransport.cpp.

## ◆ getSpeciesFluxes()

void getSpeciesFluxes | ( | size_t | ndim,
|  | const double *const | grad_T,
|  | size_t | ldx,
|  | const double *const | grad_X,
|  | size_t | ldf,
|  | double *const | fluxes
| ) |  |
| override virtual

Get the species diffusive mass fluxes wrt to the mass averaged velocity, given the gradients in mole fraction and temperature.

Units for the returned fluxes are kg m-2 s-1.

Parameters

  ndim | Number of dimensions in the flux expressions
  grad_T | Gradient of the temperature (length = ndim)
  ldx | Leading dimension of the grad_X array. (usually equal to m_nsp but not always)
  grad_X | Gradients of the mole fraction. Flat vector with the m_nsp in the inner loop. length = ldx * ndim
  ldf | Leading dimension of the fluxes array. (usually equal to m_nsp but not always)
  fluxes | Output of the diffusive mass fluxes. Flat vector with the m_nsp in the inner loop. length = ldx * ndim

Reimplemented from Transport.

Definition at line 170 of file MultiTransport.cpp.

## ◆ getMolarFluxes()

void getMolarFluxes | ( | const double *const | state1,
|  | const double *const | state2,
|  | const double | delta,
|  | double *const | fluxes
| ) |  |
| override virtual

Get the molar diffusional fluxes [kmol/m^2/s] of the species, given the thermodynamic state at two nearby points.

The molar diffusional fluxes are calculated with reference to the mass averaged velocity. This is a one-dimensional vector

Parameters

  state1 | Array of temperature, density, and mass fractions for state 1.
  state2 | Array of temperature, density, and mass fractions for state 2.
  delta | Distance from state 1 to state 2 (m).
  fluxes | Output molar fluxes of the species. (length = m_nsp)

Reimplemented from Transport.

Definition at line 344 of file MultiTransport.cpp.

## ◆ getMassFluxes()

void getMassFluxes | ( | const double * | state1,
|  | const double * | state2,
|  | double | delta,
|  | double * | fluxes
| ) |  |
| override virtual

Get the mass diffusional fluxes [kg/m^2/s] of the species, given the thermodynamic state at two nearby points.

The specific diffusional fluxes are calculated with reference to the mass averaged velocity. This is a one-dimensional vector

Parameters

  state1 | Array of temperature, density, and mass fractions for state 1.
  state2 | Array of temperature, density, and mass fractions for state 2.
  delta | Distance from state 1 to state 2 (m).
  fluxes | Output mass fluxes of the species. (length = m_nsp)

Reimplemented from Transport.

Definition at line 256 of file MultiTransport.cpp.

## ◆ init()

void init | ( | ThermoPhase * | thermo,
|  | int | mode = `0`,
|  | int | log_level = `0`
| ) |  |
| override virtual

Initialize a transport manager.

This routine sets up a transport manager. It calculates the collision integrals and populates species-dependent data structures.

Parameters

  thermo | Pointer to the ThermoPhase object
  mode | Chemkin compatible mode or not. This alters the specification of the collision integrals. defaults to no.
  log_level | Defaults to zero, no logging

Reimplemented from GasTransport.

Definition at line 42 of file MultiTransport.cpp.

## ◆ update_T()

void update_T | ( |  | ) |
| override protected virtual

Update basic temperature-dependent quantities if the temperature has changed.

Reimplemented from GasTransport.

Definition at line 393 of file MultiTransport.cpp.

## ◆ update_C()

void update_C | ( |  | ) |
| override protected virtual

Update basic concentration-dependent quantities if the concentrations have changed.

Implements GasTransport.

Definition at line 405 of file MultiTransport.cpp.

## ◆ updateThermal_T()

void updateThermal_T | ( |  | ) |
| protected

Update the temperature-dependent terms needed to compute the thermal conductivity and thermal diffusion coefficients.

Definition at line 422 of file MultiTransport.cpp.

## ◆ eval_L0000()

void eval_L0000 | ( | const double *const | x | ) |
| protected

Evaluate the L0000 matrices.

Evaluate the upper-left block of the L matrix.

Parameters

  x | vector of species mole fractions

Definition at line 488 of file MultiTransport.cpp.

## ◆ eval_L0010()

void eval_L0010 | ( | const double *const | x | ) |
| protected

Evaluate the L0010 matrices.

Parameters

  x | vector of species mole fractions

Definition at line 510 of file MultiTransport.cpp.

## ◆ eval_L1000()

void eval_L1000 | ( |  | ) |
| protected

Evaluate the L1000 matrices.

Definition at line 530 of file MultiTransport.cpp.

## ◆ eval_L0100()

void eval_L0100 | ( |  | ) |
| protected

Definition at line 605 of file MultiTransport.cpp.

## ◆ eval_L0001()

void eval_L0001 | ( |  | ) |
| protected

Definition at line 596 of file MultiTransport.cpp.

## ◆ eval_L1010()

void eval_L1010 | ( | const double * | x | ) |
| protected

Definition at line 539 of file MultiTransport.cpp.

## ◆ eval_L1001()

void eval_L1001 | ( | const double * | x | ) |
| protected

Definition at line 573 of file MultiTransport.cpp.

## ◆ eval_L0110()

void eval_L0110 | ( |  | ) |
| protected

Definition at line 614 of file MultiTransport.cpp.

## ◆ eval_L0101()

void eval_L0101 | ( | const double * | x | ) |
| protected

Definition at line 623 of file MultiTransport.cpp.

## ◆ hasInternalModes()

bool hasInternalModes | ( | size_t | j | ) |
| protected

Definition at line 483 of file MultiTransport.cpp.

## ◆ pressure_ig()

double pressure_ig | ( |  | ) |
| protected

Definition at line 108 of file MultiTransport.cpp.

## ◆ solveLMatrixEquation()

void solveLMatrixEquation | ( |  | ) |
| protected virtual

Definition at line 113 of file MultiTransport.cpp.

## Member Data Documentation

## ◆ m_thermal_tlast

double m_thermal_tlast
| protected

Definition at line 121 of file MultiTransport.h.

## ◆ m_astar

DenseMatrix m_astar
| protected

Dense matrix for astar.

Definition at line 124 of file MultiTransport.h.

## ◆ m_bstar

DenseMatrix m_bstar
| protected

Dense matrix for bstar.

Definition at line 127 of file MultiTransport.h.

## ◆ m_cstar

DenseMatrix m_cstar
| protected

Dense matrix for cstar.

Definition at line 130 of file MultiTransport.h.

## ◆ m_cinternal

vector<double> m_cinternal
| protected

Definition at line 132 of file MultiTransport.h.

## ◆ m_sqrt_eps_k

vector<double> m_sqrt_eps_k
| protected

Definition at line 134 of file MultiTransport.h.

## ◆ m_log_eps_k

DenseMatrix m_log_eps_k
| protected

Definition at line 135 of file MultiTransport.h.

## ◆ m_frot_298

vector<double> m_frot_298
| protected

Definition at line 136 of file MultiTransport.h.

## ◆ m_rotrelax

vector<double> m_rotrelax
| protected

Definition at line 137 of file MultiTransport.h.

## ◆ m_lambda

double m_lambda
| protected

Definition at line 139 of file MultiTransport.h.

## ◆ m_Lmatrix

DenseMatrix m_Lmatrix
| protected

Definition at line 142 of file MultiTransport.h.

## ◆ m_aa

DenseMatrix m_aa
| protected

Definition at line 143 of file MultiTransport.h.

## ◆ m_a

vector<double> m_a
| protected

Definition at line 144 of file MultiTransport.h.

## ◆ m_b

vector<double> m_b
| protected

Definition at line 145 of file MultiTransport.h.

## ◆ m_spwork1

vector<double> m_spwork1
| protected

Definition at line 148 of file MultiTransport.h.

## ◆ m_spwork2

vector<double> m_spwork2
| protected

Definition at line 148 of file MultiTransport.h.

## ◆ m_spwork3

vector<double> m_spwork3
| protected

Definition at line 148 of file MultiTransport.h.

## ◆ m_molefracs_last

vector<double> m_molefracs_last
| protected

Mole fraction vector from last L-matrix evaluation.

Definition at line 151 of file MultiTransport.h.

## ◆ m_l0000_ok

bool m_l0000_ok
| protected

Boolean indicating viscosity is up to date.

Definition at line 154 of file MultiTransport.h.

## ◆ m_lmatrix_soln_ok

bool m_lmatrix_soln_ok
| protected

Definition at line 155 of file MultiTransport.h.

## ◆ m_debug

bool m_debug
| protected

Definition at line 184 of file MultiTransport.h.

The documentation for this class was generated from the following files:

- MultiTransport.h
- MultiTransport.cpp