{
    p.boundaryField().updateCoeffs();

    // Prepare clean 1/Ap without contribution from under-relaxation
    // HJ, 26/Oct/2015
    volScalarField rAU
    (
        "(1|A(U))",
        1/HUEqn().A()
    );

    // Store velocity under-relaxation point before using U for
    // the flux precursor
    U.storePrevIter();

    U = rAU*HUEqn().H();
    HUEqn.clear();

     phi = fvc::interpolate(U) & mesh.Sf();
     mrfZones.relativeFlux(phi);
     adjustPhi(phi, U, p);

     // Non-orthogonal pressure corrector loop
     while (simple.correctNonOrthogonal())
     {
         fvScalarMatrix pEqn
         (
             fvm::laplacian(rAU, p) == fvc::div(phi)
         );

         pEqn.setReference(pRefCell, pRefValue);
         pEqn.solve();

         if (simple.finalNonOrthogonalIter())
         {
             phi -= pEqn.flux();
         }
     }

#   include "continuityErrs.H"

    // Explicitly relax pressure for momentum corrector
    p.relax();

    // Momentum corrector
    // Note: since under-relaxation does not change aU, H/a in U can be
    // re-used.  HJ, 22/Jan/2016
    U = UUrf*(U - rAU*fvc::grad(p)) + (1 - UUrf)*U.prevIter();
    U.correctBoundaryConditions();
}