Class IntegratedReichardtLawOfTheWall

Defined in File IntegratedReichardtLawOfTheWall.H

Inheritance Relationships

Base Type

public LawOfTheWall (Class LawOfTheWall)

Class Documentation

class IntegratedReichardtLawOfTheWall : public LawOfTheWall 

Model based on integrating the law of the wall proposed by Reichardt.

\[ u^+ = \frac{1}{\kappa } \ln (1 + \kappa y^+) + C \left( 1 - \exp (-y^+/B_1)- \frac{y^+}{B_1} \exp(-y^+/B_2) \right) \]

Usage:

    Law
    {
        type      IntegratedReichardt;
        kappa     value; (default 0.4)
        B1        value; (default 11)
        B2        value; (default 3)
        C         value; (default 7.8)
    }

Reference:

        Reichardt, H. (1951).
        Vollstandige Darstellung der turbulenten Geschwindigkeitsverteilung in
        glatten Leitungen.
        Zeitschrift fur Angewandte Mathematik und Mechanik 31(7) (pp. 208-219).

Contributors/Copyright: 2018-2020 Timofey Mukha

Source files

Public Functions

IntegratedReichardtLawOfTheWall(const dictionary&): Construct provided dictionary.

IntegratedReichardtLawOfTheWall(const word &lawname, const dictionary&): Construct provided TypeName and dictionary.

IntegratedReichardtLawOfTheWall(const scalar kappa = 0.4, const scalar B1 = 11, const scalar B2 = 3, const scalar C = 7.8): Construct from model constants.

inline virtual ~IntegratedReichardtLawOfTheWall()

IntegratedReichardtLawOfTheWall(const IntegratedReichardtLawOfTheWall&) = default: Copy constructor.

IntegratedReichardtLawOfTheWall &operator=(const IntegratedReichardtLawOfTheWall&) = default: Assignment.

inline virtual autoPtr<LawOfTheWall> clone() const override: Clone.

inline scalar kappa() const: Return the kappa constant.

inline scalar B1() const: Return the B1 constant.

inline scalar B2() const: Return the B2 constant.

inline scalar C() const: Return the C constant.

virtual void printCoeffs() const override: Print info to terminal.

virtual scalar value(const SingleCellSampler &sampler, label index, scalar uTau, scalar nu) const override: Return the value of the implicit function defining the law.

scalar valueMulticell(const MultiCellSampler &sampler, label index, scalar uTau, scalar nu) const

scalar value(scalar uIntegral, scalar h1, scalar h2, scalar uTau, scalar nu) const

virtual scalar derivative(const SingleCellSampler &sampler, label index, scalar uTau, scalar nu) const override

Return the value of the derivative of the implicit function.

defining the law.

scalar derivativeMulticell(const MultiCellSampler &sampler, label index, scalar uTau, scalar nu) const

scalar derivative(scalar h1, scalar h2, scalar uTau, scalar nu) const

scalar logTerm(scalar y, scalar uTau, scalar nu) const: The log-term in the integrated law.

scalar expTerm(scalar y, scalar uTau, scalar nu) const: The exp-term in the integrated law.

scalar logTermDerivative(scalar y, scalar uTau, scalar nu) const: The derivative of the log-term in the integrated law wrt uTau.

scalar expTermDerivative(scalar y, scalar uTau, scalar nu) const: The derivative of the exp-term in the integrated law wrt uTau.