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Interpolation using interpolationLookUpTable or interpolationTable classes

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Old   October 2, 2009, 17:56
Default Interpolation using interpolationLookUpTable or interpolationTable classes
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Scott Haynes
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I’d like to perform an interpolation on a volScalarField using a lookup table of values, interpolating linearly between defined points. For example if I have points (x & y, as shown in the table below and volScalarField X, I want to make a volScalarField Y corresponding to column y.

x | y
------
0 | 0
1 | 2

X=[0.2 0.4
0.5 0.6]

i.e. Y would equal

Y=[0.4 0.8
1.0 1.2

Based on the table .

My first question is what class would be the best for this type of interpolation (Note that in the end it will not be a linear as shown above).



After reading through the doxygen guide it looks like there are two classes to start with, "interpolationLookUpTable" and "interpolationTable". I'm not sure of the distinction between the two. I found a previous post regarding interpolationTable so I started there and I wrote a short program to figure out how to use it .


Code:
#include "fvCFD.H"
#include "interpolationTable.H"
#include "List.H"


int main(int argc, char *argv[])
{

    #include "setRootCase.H"
    #include "createTime.H"
    #include "createMesh.H"

    volScalarField X
    (
        IOobject
        (
            "X",
            runTime.timeName(),
            mesh,
            IOobject::MUST_READ,
            IOobject::AUTO_WRITE
        ),
        mesh
    );
                        //  x|y
                        //------
    Tuple2<scalar,scalar> a(0,0);
    Tuple2<scalar,scalar> b(1,2);
    List< Tuple2<scalar,scalar> > c
    (
        a,
        b
    );

    scalar d=0.5;


    Foam::interpolationTable<List<Tuple2<scalar,scalar> > > JUNK(c, {0,1,0,0}, "");
    volScalarField Y=JUNK(X);


    Info << Y << endl;
    return 0;
}
When I compile I get the following errors



crap3.C: In function âint main(int, char**)â:
crap3.C:40: error: expected primary-expression before â{â token
crap3.C:41: error: no match for call to â(Foam::interpolationTable<Foam::List<Foam::Tuple2 <double, double> > >) (Foam::volScalarField&)â


I think the error in line 40 has something to do with the boundsHandling argument.

The constructor for this class is:
Code:
interpolationTable
           (
               const List<Tuple2<scalar, Type> >& values,
               const boundsHandling bounds,
               const fileName& fName
           );
At this point I'd like to know if this is the most efficient way to solve the problem. If so can someone help with the syntax of the example above?

Thanks
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Old   May 19, 2011, 11:04
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Illya Shevchuk
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Hello Scott,

did you find a solution for implementing lookup tabels and the difference between mentioned classes?

Regards,
Ilya
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Old   May 19, 2011, 12:52
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Scott Haynes
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It's been so long I can't remember specifically what I was asking but I do remember the solution. I just went ahead and wrote a function to do look ups for scalar fields, see below.

Code:
volScalarField SHlibInterp::Interp1(List<scalar> X, List<scalar> Y,volScalarField& Xi,volScalarField& Yi)
    {
        scalar m;
        scalar b;
        int FOUND;
        int jj;
        forAll(Xi.internalField(),ii)
        {
            FOUND=0; jj=0;
            while((FOUND==0) && (jj<X.size()))
            {
                if(Xi.internalField()[ii]<X[0])
                {
                    Yi.internalField()[ii]=0;
                    FOUND=1;
                }
                else if(Xi.internalField()[ii]>X[X.size()])
                {
                    Yi.internalField()[ii]=Y[jj];
                    FOUND=1;
                }
                else if(Xi.internalField()[ii]>=X[jj] && Xi.internalField()[ii]<X[jj+1])
                {
                    m=(Y[jj+1]-Y[jj])/(X[jj+1]-X[jj]);
                    b=Y[jj]-m*X[jj];
                    Yi.internalField()[ii]=m*Xi.internalField()[ii]+b;
                    FOUND=1;
                };
                jj=jj+1;
            };
        };
        return(Yi);
    };
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Old   May 20, 2011, 08:06
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Illya Shevchuk
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Thank you!
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Old   August 31, 2012, 09:51
Default Reading Scalars from dictionaries
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Hossein
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Quote:
Originally Posted by scotth2o View Post

Code:
volScalarField SHlibInterp::Interp1(List<scalar> X, List<scalar> Y,volScalarField& Xi,volScalarField& Yi)
Hello Scott,

I have a similar problem. It seems that your function is suitable for interpolating between scalars. So I want to use your function. But I should read X, Y and Xi from dictionaries. Do you have any idea to do this?

Sincerely yours,

Hossein
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Old   September 3, 2012, 08:23
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Hello,

It is solved.
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