CFD Online Discussion Forums - Help solving "c dot inv(A)" after solving the field variable (Ax=b)

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Help solving "c dot inv(A)" after solving the field variable (Ax=b)

I need help trying to solve "c dot inv(A)" after having solved for the field variable (Ax=b)

The simplyfied OpenFoam pseudo-code is:

Code:

    // create volScalarField's for governing equations

    // create volScalarField c



    fvMatrix Eqn

    (

        // governing equations - discretize

    );

    Eqn.relax();

    Eqn.solve();  // Ax=b

    

    // volScalarField phi = c & inv(A);

    // I'm at a loss on how to compute this.

x --> [1 x m] volScalarField
A --> [m x m] lduMatrix
b --> [1 x m] volScalarField --> I assume accessed with "Eqn.source();"

inv(A) = inv(L) & inv(D) & inv(U)
phi = c & ( inv(L) & inv(D) & inv(U) )

Any help on how to implement this in OpenFoam would be appreciated :)