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========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2011-2026 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM 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.
OpenFOAM 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 OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
Class
Foam::distributions::multiNormal
Description
Multiple superimposed normal distributions
\f[
PDF(x) = \sum_i S_i \frac{1}{\sigma_i \sqrt{2 \pi}} \\
\exp \left( \frac{1}{2} \left( \frac{x - \mu_i}{\sigma_i} \\
\right)^2 \right)
\f]
Usage
Example usage:
\verbatim
{
type multiNormal;
Q 0;
min 0.001;
max 0.019;
mu (0.005 0.011 0.015);
sigma (0.002 0.001 0.0015);
strength (2 1 3);
}
\endverbatim
SourceFiles
multiNormal.C
See also
Foam::distribution
Foam::distributions::normal
\*---------------------------------------------------------------------------*/
#ifndef multiNormal_H
#define multiNormal_H
#include "normal.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace Foam
{
namespace distributions
{
/*---------------------------------------------------------------------------*\
Class multiNormal Declaration
\*---------------------------------------------------------------------------*/
class multiNormal
:
public FieldDistribution<unintegrableForNonZeroQ, multiNormal>
{
// Private Data
//- Relative strengths of the different distributions
const scalarList cumulativeStrengths_;
//- Normal distributions
PtrList<normal> distributions_;
// Private Member Functions
//- Normalise the strengths
static scalarList readCumulativeStrengths(const dictionary& dict);
//- Return values of the un-normalised PDF for the given size exponent
// and x-coordinates.
virtual tmp<scalarField> phi
(
const label q,
const scalarField& x
) const;
//- Return values of the un-normalised CDF for zero effective size
// exponent and given x-coordinates
virtual tmp<scalarField> PhiForZeroQ(const scalarField& x) const;
public:
//- Runtime type information
TypeName("multiNormal");
// Constructors
//- Construct from a dictionary
multiNormal
(
const unitSet& units,
const dictionary& dict,
const label sampleQ,
randomGenerator&& rndGen
);
//- Construct copy
multiNormal(const multiNormal& d, const label sampleQ);
//- Construct and return a clone
virtual autoPtr<distribution> clone(const label sampleQ) const
{
return autoPtr<distribution>(new multiNormal(*this, sampleQ));
}
//- Destructor
virtual ~multiNormal();
// Member Functions
//- Sample the distribution for zero effective size exponent
virtual scalar sampleForZeroQ() const;
//- Sample the distribution
using FieldDistribution<unintegrableForNonZeroQ, multiNormal>::sample;
//- Return the minimum value
virtual scalar min() const;
//- Return the maximum value
virtual scalar max() const;
//- Write stream
virtual void write(Ostream& os, const unitSet& units) const;
//- Return coordinates to plot across the range of the distribution
virtual tmp<scalarField> plotX(const label n) const;
};
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace distributions
} // End namespace Foam
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#endif
// ************************************************************************* //
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