turbulenceproperties.hh

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#ifndef DUMUX_TURBULENCE_PROPERTIES_HH
#define DUMUX_TURBULENCE_PROPERTIES_HH
 
#include <iostream>
 
#include<dune/common/fvector.hh>
 
namespace Dumux {
 
template<class Scalar, unsigned dim, bool verbose = false>
class TurbulenceProperties
{
public:
    Scalar yPlusEstimation(const Scalar velocity,
                           const Dune::FieldVector<Scalar, dim> position,
                           const Scalar kinematicViscosity,
                           const Scalar density,
                           int yCoordDim=dim-1,
                           bool print=verbose) const
    {
        using std::pow;
        using std::log10;
        using std::sqrt;
        const Scalar re_x = reynoldsNumber(velocity, position[0], kinematicViscosity, false);
        const Scalar c_f = pow((2.0 * log10(re_x) - 0.65), -2.3); // for re_x < 10^9
        const Scalar wallShearStress = 0.5 * c_f * density * velocity * velocity;
        const Scalar frictionVelocity = sqrt(wallShearStress / density);
        const Scalar yPlus = position[yCoordDim] * frictionVelocity / kinematicViscosity;
        if (print)
        {
            std::cout << "turbulence properties at (";
            for (unsigned int dimIdx = 0; dimIdx < dim; ++dimIdx)
                std::cout << position[dimIdx] << ",";
            std::cout << ")" << std::endl;
            std::cout << "estimated Re_x  : " << re_x << " [-]" << std::endl;
            std::cout << "estimated c_f   : " << c_f << " [-]" << std::endl;
            std::cout << "estimated tau_w : " << wallShearStress << " [kg/(m*s^2)]" << std::endl;
            std::cout << "estimated UStar : " << frictionVelocity << " [m/s]" << std::endl;
            std::cout << "estimated yPlus : " << yPlus << " [-]" << std::endl;
            std::cout << std::endl;
        }
        return yPlus;
    }
 
    Scalar entranceLength(const Scalar velocity,
                          const Scalar diameter,
                          const Scalar kinematicViscosity,
                          bool print=verbose) const
    {
        using std::pow;
        const Scalar re_d = reynoldsNumber(velocity, diameter, kinematicViscosity, false);
        const Scalar entranceLength = 4.4 * pow(re_d, 1.0/6.0) * diameter;
        if (print)
        {
            std::cout << "estimated Re_d  : " << re_d << " [-]" << std::endl;
            std::cout << "estimated l_ent : " << entranceLength << " [m]"<< std::endl;
            std::cout << std::endl;
        }
        return entranceLength;
    }
 
    Scalar reynoldsNumber(const Scalar velocity,
                          const Scalar charLengthScale/*e.g. diameter*/,
                          const Scalar kinematicViscosity,
                          bool print=verbose) const
    {
        using std::abs;
        return abs(velocity * charLengthScale / kinematicViscosity);
    }
 
    Scalar turbulenceIntensity(const Scalar reynoldsNumber,
                               bool print=verbose) const
    {
        using std::pow;
        const Scalar turbulenceIntensity = 0.16 * pow(reynoldsNumber, -0.125);
        if (print)
        {
            std::cout << "estimated I     : " << turbulenceIntensity << " [-]" << std::endl;
        }
        return turbulenceIntensity;
    }
 
    Scalar turbulenceLengthScale(const Scalar charLengthScale/*e.g. diameter*/,
                                 bool print=verbose) const
    {
        const Scalar turbulenceLengthScale = 0.07 * charLengthScale;
        if (print)
        {
            std::cout << "estimated l_turb: " << turbulenceLengthScale << " [m]" << std::endl;
        }
        return turbulenceLengthScale;
    }
 
    Scalar turbulentKineticEnergy(const Scalar velocity,
                                  const Scalar diameter,
                                  const Scalar kinematicViscosity,
                                  bool print=verbose) const
    {
        const Scalar re_d = reynoldsNumber(velocity, diameter, kinematicViscosity, false);
        const Scalar k = 1.5 * velocity * velocity
                         * turbulenceIntensity(re_d, false) * turbulenceIntensity(re_d, false);
        if (print)
        {
            std::cout << "estimated k     : " << k << " [m^2/s^2]" << std::endl;
        }
        return k;
    }
 
    Scalar dissipation(const Scalar velocity,
                       const Scalar diameter,
                       const Scalar kinematicViscosity,
                       bool print=verbose) const
    {
        using std::pow;
        const Scalar k = turbulentKineticEnergy(velocity, diameter, kinematicViscosity, false);
        const Scalar factor = 0.1643; // = cMu^(3/4) = 0.09^(3/4)
        const Scalar epsilon = factor * pow(k, 1.5) / turbulenceLengthScale(diameter, false);
        if (print)
        {
            std::cout << "estimated eps.  : " << epsilon << " [m^2/s^3]" << std::endl;
        }
        return epsilon;
    }
 
    Scalar dissipationRate(const Scalar velocity,
                           const Scalar diameter,
                           const Scalar kinematicViscosity,
                           bool print=verbose) const
    {
        using std::pow;
         const Scalar k = turbulentKineticEnergy(velocity, diameter, kinematicViscosity, false);
         const Scalar factor = 0.54772; // = cMu^(1/4) = 0.09^(1/4)
         const Scalar L = turbulenceLengthScale(diameter , false);
         const Scalar omega = pow(k, 0.5) / (L*factor);
        if (print)
        {
            std::cout << "estimated omega : " << omega << " [1/s]" << std::endl;
 
        }
        return omega;
    }
 
    Scalar viscosityTilde(const Scalar velocity,
                          const Scalar diameter,
                          const Scalar kinematicViscosity,
                          bool print=verbose) const
    {
        using std::abs;
        using std::sqrt;
        const Scalar re_d = reynoldsNumber(velocity, diameter, kinematicViscosity, false);
        const Scalar viscosityTilde = sqrt(1.5) * abs(velocity)
                                      * turbulenceIntensity(re_d)
                                      * turbulenceLengthScale(diameter);
        if (print)
        {
            std::cout << "estimated nu~   : " << viscosityTilde << " [m^2/s]" << std::endl;
        }
        return viscosityTilde;
    }
};
} // end namespace Dumux
 
#endif // DUMUX_TURBULENCE_PROPERTIES_HH