.. _program_listing_file_lawsOfTheWall_SpaldingLawOfTheWall_SpaldingLawOfTheWall.H:

Program Listing for File SpaldingLawOfTheWall.H
===============================================

|exhale_lsh| :ref:`Return to documentation for file <file_lawsOfTheWall_SpaldingLawOfTheWall_SpaldingLawOfTheWall.H>` (``lawsOfTheWall/SpaldingLawOfTheWall/SpaldingLawOfTheWall.H``)

.. |exhale_lsh| unicode:: U+021B0 .. UPWARDS ARROW WITH TIP LEFTWARDS

.. code-block:: cpp

   /*---------------------------------------------------------------------------* \
   License
       This file is part of libWallModelledLES.
   
       libWallModelledLES is free software: you can redistribute it and/or modify
       it under the terms of the GNU General Public License as published by
       the Free Software Foundation, either version 3 of the License, or
       (at your option) any later version.
   
       libWallModelledLES is distributed in the hope that it will be useful, but
       WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
       or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
       for more details.
   
       You should have received a copy of the GNU General Public License
       along with libWallModelledLES. 
       If not, see <http://www.gnu.org/licenses/>.
   
   Class
       Foam::SpaldingLawOfTheWall
   
   @brief
       The law of the wall proposed by Spalding.
   
       \f[
       y^+ = u^+ +  \exp(-\kappa B) \left( \exp (\kappa B) - 1 - \kappa u^+ -
                \frac{1}{2}(\kappa u^+)^2 - \frac{1}{6}(\kappa u^+)^3 \right)
       \f]
   
       Since the formula above is differentiable, it is advised to use Newton's
       method to solve for \f$u_\tau \f$.
   
       Usage:
       \verbatim
       Law
       {
           type      Spalding;
           kappa     value; (default 0.4)
           B         value; (default 5.5)
       }
       \endverbatim
       
       Reference:
       \verbatim
           Spalding, D. B. (1961).
           A single formula for the 'law of the wall'.
           Journal of Applied Mechanics,
           28(3), 455-458.
       \endverbatim
   
   Contributors/Copyright:
       2016-2019 Timofey Mukha
       2017      Saleh Rezaeiravesh
   
   
   SourceFiles
       SpaldingLawOfTheWall.C
   
   \*---------------------------------------------------------------------------*/
   
   #ifndef SpaldingLawOfTheWall_H
   #define SpaldingLawOfTheWall_H
   
   #include "LawOfTheWall.H"
   
   // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
   
   namespace Foam
   {
   
   /*---------------------------------------------------------------------------*\
                       Class SpaldingLawOfTheWall Declaration
   \*---------------------------------------------------------------------------*/
   
   class SpaldingLawOfTheWall: public LawOfTheWall
   {
       
       // Private data
           
           //- The kappa model constant
           scalar kappa_;
           
           //- The B model constant
           scalar B_;
           
   public:
       
   #if !defined(DOXYGEN_SHOULD_SKIP_THIS)
       TypeName("Spalding");
   #endif
   
       // Constructors
         
           //- Construct provided dictionary
           SpaldingLawOfTheWall(const dictionary &);
           
           //- Construct provided TypeName and dictionary
           SpaldingLawOfTheWall
           (
               const word & lawname,
               const dictionary &
           );
   
           //- Construct from model constants
           SpaldingLawOfTheWall
           (
               const scalar kappa,
               const scalar B
           );
   
           //- Copy constructor
           SpaldingLawOfTheWall(const SpaldingLawOfTheWall &) = default;
   
           //- Assignment
           SpaldingLawOfTheWall & operator=(const SpaldingLawOfTheWall &) = default;
   
           //- Clone
           virtual autoPtr<LawOfTheWall> clone() const override
           {
               return autoPtr<LawOfTheWall>
               (
                   new SpaldingLawOfTheWall(*this) 
               );
           }
   
       //- Destructor
           virtual ~SpaldingLawOfTheWall() {};
   
       // Member Functions
           
           scalar kappa() const
           {
               return kappa_;
           }
           
           scalar B() const
           {
               return B_;
           }
           
           //- Print the model coefficients to terminal
           virtual void printCoeffs() const override;
   
           //- Return the value of the implicit function defining the law
           virtual scalar value
           (
               const SingleCellSampler & sampler,
               label index,
               scalar uTau,
               scalar nu
           ) const override;
   
           scalar value(scalar u, scalar y, scalar uTau, scalar nu) const;
   
                                
           //- Return the value of the  derivative of the implicit function
           //  defining the law.
           virtual scalar derivative
           (
               const SingleCellSampler & sampler,
               label index,
               scalar uTau,
               scalar nu
           ) const override;
   
           scalar derivative(scalar u, scalar y, scalar uTau, scalar nu) const;
   };
   
   
   // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
   
   } // End namespace Foam
   
   // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
   
   #endif