diff --git a/src/meshTools/Make/files b/src/meshTools/Make/files
index 28b8b4f24f..fb78d1f065 100644
--- a/src/meshTools/Make/files
+++ b/src/meshTools/Make/files
@@ -152,6 +152,7 @@ sets/topoSetSource/topoSetSource.C
 
 cellSources = sets/cellSources
 $(cellSources)/topoSetCellSource/topoSetCellSource.C
+$(cellSources)/attachedToCell/attachedToCell.C
 $(cellSources)/boundaryToCell/boundaryToCell.C
 $(cellSources)/boxToCell/boxToCell.C
 $(cellSources)/cellToCell/cellToCell.C
diff --git a/src/meshTools/sets/cellSources/attachedToCell/attachedToCell.C b/src/meshTools/sets/cellSources/attachedToCell/attachedToCell.C
new file mode 100644
index 0000000000..3938c245c2
--- /dev/null
+++ b/src/meshTools/sets/cellSources/attachedToCell/attachedToCell.C
@@ -0,0 +1,277 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2019 OpenCFD Ltd.
+     \\/     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/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "attachedToCell.H"
+#include "polyMesh.H"
+#include "cellSet.H"
+#include "syncTools.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+    defineTypeNameAndDebug(attachedToCell, 0);
+    addToRunTimeSelectionTable(topoSetSource, attachedToCell, word);
+    addToRunTimeSelectionTable(topoSetSource, attachedToCell, istream);
+    addToRunTimeSelectionTable(topoSetCellSource, attachedToCell, word);
+    addToRunTimeSelectionTable(topoSetCellSource, attachedToCell, istream);
+    addNamedToRunTimeSelectionTable
+    (
+        topoSetCellSource,
+        attachedToCell,
+        word,
+        attached
+    );
+    addNamedToRunTimeSelectionTable
+    (
+        topoSetCellSource,
+        attachedToCell,
+        istream,
+        attached
+    );
+}
+
+
+Foam::topoSetSource::addToUsageTable Foam::attachedToCell::usage_
+(
+    attachedToCell::typeName,
+    "\n    Usage: attachedToCell\n\n"
+    "    Select attached cells\n\n"
+);
+
+
+// * * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * //
+
+void Foam::attachedToCell::combine(topoSet& set, const bool add) const
+{
+    const cellList& cells = mesh_.cells();
+    const labelList& faceOwn = mesh_.faceOwner();
+    const labelList& faceNei = mesh_.faceNeighbour();
+    const label nIntFaces = mesh_.nInternalFaces();
+    const polyBoundaryMesh& patches = mesh_.boundaryMesh();
+
+    boolList isCoupled(mesh_.nBoundaryFaces(), false);
+
+    for (const polyPatch& pp : patches)
+    {
+        if (pp.coupled())
+        {
+            label facei = pp.start();
+            forAll(pp, i)
+            {
+                isCoupled[facei-nIntFaces] = true;
+                ++facei;
+            }
+        }
+    }
+
+    // The starting set of cells
+    bitSet current(cells.size());
+
+    for (const label celli : set)
+    {
+        current.set(celli);
+    }
+
+    // The perimeter faces of the cell set
+    bitSet outsideFaces(mesh().nFaces());
+
+    // Get coupled cell status
+    boolList neiInSet(mesh_.nFaces()-nIntFaces, false);
+
+    bitSet updates(current);
+
+    for (label stepi = 0; stepi < steps_; ++stepi)
+    {
+        // Mark up all perimeter faces
+
+        // Don't attempt extra efficiency with caching old values,
+        // this make the parallel transfer too troublesome
+
+        outsideFaces.reset();
+        for (const label celli : current)
+        {
+            for (const label facei : cells[celli])
+            {
+                outsideFaces.flip(facei);
+            }
+        }
+
+        // Coupled faces
+        neiInSet = false;
+
+        for
+        (
+            bitSet::const_iterator iter = outsideFaces.cbegin(nIntFaces);
+            iter != outsideFaces.cend();
+            ++iter
+        )
+        {
+            const label facei = *iter;
+
+            if (isCoupled[facei-nIntFaces])
+            {
+                neiInSet[facei-nIntFaces] = true;
+            }
+        }
+
+        syncTools::swapBoundaryFaceList(mesh_, neiInSet);
+
+        forAll(neiInSet, bfacei)
+        {
+            if (neiInSet[bfacei])
+            {
+                outsideFaces.flip(bfacei+nIntFaces);
+            }
+        }
+
+        updates.reset();
+
+        for (const label facei : outsideFaces)
+        {
+            updates.set(faceOwn[facei]);
+            if (mesh_.isInternalFace(facei))
+            {
+                updates.set(faceNei[facei]);
+            }
+        }
+
+        if (add)
+        {
+            // Face information retained for next loop
+
+            // Changed cells
+            updates -= current;
+
+            if (verbose_)
+            {
+                Info<< "    Grow " << current.count()
+                    << " by " << updates.count() << endl;
+            }
+
+            current |= updates;
+        }
+        else
+        {
+            // Changed cells
+            updates &= current;
+
+            if (verbose_)
+            {
+                Info<< "    Shrink " << current.count()
+                    << " by " << updates.count() << endl;
+            }
+
+            current -= updates;
+        }
+
+        for (const label celli: updates)
+        {
+            addOrDelete(set, celli, add);
+        }
+
+        if (updates.none())
+        {
+            break;
+        }
+    }
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::attachedToCell::attachedToCell
+(
+    const polyMesh& mesh,
+    const label steps
+)
+:
+    topoSetCellSource(mesh),
+    steps_(max(steps, 1))
+{}
+
+
+Foam::attachedToCell::attachedToCell
+(
+    const polyMesh& mesh,
+    const dictionary& dict
+)
+:
+    attachedToCell(mesh, dict.getOrDefault<label>("steps", 1))
+{}
+
+
+Foam::attachedToCell::attachedToCell
+(
+    const polyMesh& mesh,
+    Istream& is
+)
+:
+    attachedToCell(mesh, 1)
+{}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+void Foam::attachedToCell::applyToSet
+(
+    const topoSetSource::setAction action,
+    topoSet& set
+) const
+{
+    if (action == topoSetSource::NEW)
+    {
+        if (verbose_)
+        {
+            Info<< "    Cannot create new of attached" << endl;
+        }
+
+        set.clear();
+    }
+    else if (action == topoSetSource::ADD)
+    {
+        if (verbose_)
+        {
+            Info<< "    Adding cells attached to current set, using "
+                << steps_ << " step ..." << endl;
+        }
+
+        combine(set, true);
+    }
+    else if (action == topoSetSource::SUBTRACT)
+    {
+        if (verbose_)
+        {
+            Info<< "    Removing external cells of current set, using "
+                << steps_ << " step ..." << endl;
+        }
+
+        combine(set, false);
+    }
+}
+
+
+// ************************************************************************* //
diff --git a/src/meshTools/sets/cellSources/attachedToCell/attachedToCell.H b/src/meshTools/sets/cellSources/attachedToCell/attachedToCell.H
new file mode 100644
index 0000000000..ea3e7def0a
--- /dev/null
+++ b/src/meshTools/sets/cellSources/attachedToCell/attachedToCell.H
@@ -0,0 +1,115 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2019 OpenCFD Ltd.
+     \\/     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::attachedToCell
+
+Description
+    A topoSetCellSource to add/remove cells attached to the current cellSet
+
+    \heading Dictionary parameters
+    \table
+        Property    | Description                           | Required | Default
+        steps       | Number of grow/shrink steps to use    | no  | 1
+    \endtable
+
+SourceFiles
+    attachedToCell.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef attachedToCell_H
+#define attachedToCell_H
+
+#include "topoSetCellSource.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                         Class attachedToCell Declaration
+\*---------------------------------------------------------------------------*/
+
+class attachedToCell
+:
+    public topoSetCellSource
+{
+
+    // Private data
+
+        //- Add usage string
+        static addToUsageTable usage_;
+
+        //- Number of grow/shrink steps
+        label steps_;
+
+
+    // Private Member Functions
+
+        void combine(topoSet& set, const bool add) const;
+
+
+public:
+
+    //- Runtime type information
+    TypeName("attachedToCell");
+
+
+    // Constructors
+
+        //- Construct from components
+        explicit attachedToCell(const polyMesh& mesh, const label steps=1);
+
+        //- Construct from dictionary
+        attachedToCell(const polyMesh& mesh, const dictionary& dict);
+
+        //- Construct from Istream
+        attachedToCell(const polyMesh& mesh, Istream& is);
+
+
+    //- Destructor
+    virtual ~attachedToCell() = default;
+
+
+    // Member Functions
+
+        virtual void applyToSet
+        (
+            const topoSetSource::setAction action,
+            topoSet& set
+        ) const;
+
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //