diff --git a/src/OpenFOAM/primitives/Barycentric2D/BarycentricTensor2D.H b/src/OpenFOAM/primitives/Barycentric2D/BarycentricTensor2D.H
new file mode 100644
index 0000000000..9923ab7db1
--- /dev/null
+++ b/src/OpenFOAM/primitives/Barycentric2D/BarycentricTensor2D.H
@@ -0,0 +1,137 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Copyright (C) 2021 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::BarycentricTensor2D
+
+Description
+    Templated 3x3 tensor derived from VectorSpace. Has 9 components. Can
+    represent a barycentric transformation as a matrix-barycentric inner-
+    product. Can alternatively represent an inverse barycentric transformation
+    as a vector-matrix inner-product.
+
+SourceFiles
+    BarycentricTensor2DI.H
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef BarycentricTensor2D_H
+#define BarycentricTensor2D_H
+
+#include "Barycentric2D.H"
+#include "Tensor2D.H"
+#include "Vector.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                      Class BarycentricTensor2D Declaration
+\*---------------------------------------------------------------------------*/
+
+template<class Cmpt>
+class BarycentricTensor2D
+:
+    public MatrixSpace<BarycentricTensor2D<Cmpt>, Cmpt, 3, 3>
+{
+public:
+
+    //- Equivalent type of labels used for valid component indexing
+    typedef Tensor2D<label> labelType;
+
+
+    // Member constants
+
+        //- Rank of BarycentricTensor2D is 2
+        static const direction rank = 2;
+
+
+    //- Component labeling enumeration
+    enum components { XA, XB, XC, YA, YB, YC, ZA, ZB, ZC };
+
+
+    // Constructors
+
+        //- Construct null
+        BarycentricTensor2D();
+
+        //- Construct initialised to zero
+        BarycentricTensor2D(const Foam::zero);
+
+        //- Construct given three barycentric components (rows)
+        BarycentricTensor2D
+        (
+            const Barycentric2D<Cmpt>& x,
+            const Barycentric2D<Cmpt>& y,
+            const Barycentric2D<Cmpt>& z
+        );
+
+        //- Construct given three vector components (columns)
+        BarycentricTensor2D
+        (
+            const Vector<Cmpt>& a,
+            const Vector<Cmpt>& b,
+            const Vector<Cmpt>& c
+        );
+
+
+    // Member Functions
+
+        // Row-barycentric access
+
+            inline Barycentric2D<Cmpt> x() const;
+            inline Barycentric2D<Cmpt> y() const;
+            inline Barycentric2D<Cmpt> z() const;
+
+        // Column-vector access
+
+            inline Vector<Cmpt> a() const;
+            inline Vector<Cmpt> b() const;
+            inline Vector<Cmpt> c() const;
+};
+
+
+template<class Cmpt>
+class typeOfTranspose<Cmpt, BarycentricTensor2D<Cmpt>>
+{
+public:
+
+    typedef void type;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#include "BarycentricTensor2DI.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //
diff --git a/src/OpenFOAM/primitives/Barycentric2D/BarycentricTensor2DI.H b/src/OpenFOAM/primitives/Barycentric2D/BarycentricTensor2DI.H
new file mode 100644
index 0000000000..e4046fb9f2
--- /dev/null
+++ b/src/OpenFOAM/primitives/Barycentric2D/BarycentricTensor2DI.H
@@ -0,0 +1,179 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Copyright (C) 2021 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/>.
+
+\*---------------------------------------------------------------------------*/
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+template<class Cmpt>
+inline Foam::BarycentricTensor2D<Cmpt>::BarycentricTensor2D()
+{}
+
+
+template<class Cmpt>
+inline Foam::BarycentricTensor2D<Cmpt>::BarycentricTensor2D(const Foam::zero)
+:
+    BarycentricTensor2D::msType(Zero)
+{}
+
+
+template<class Cmpt>
+inline Foam::BarycentricTensor2D<Cmpt>::BarycentricTensor2D
+(
+    const Barycentric2D<Cmpt>& x,
+    const Barycentric2D<Cmpt>& y,
+    const Barycentric2D<Cmpt>& z
+)
+{
+    this->v_[XA] = x.a();
+    this->v_[XB] = x.b();
+    this->v_[XC] = x.c();
+
+    this->v_[YA] = y.a();
+    this->v_[YB] = y.b();
+    this->v_[YC] = y.c();
+
+    this->v_[ZA] = z.a();
+    this->v_[ZB] = z.b();
+    this->v_[ZC] = z.c();
+}
+
+
+template<class Cmpt>
+inline Foam::BarycentricTensor2D<Cmpt>::BarycentricTensor2D
+(
+    const Vector<Cmpt>& a,
+    const Vector<Cmpt>& b,
+    const Vector<Cmpt>& c
+)
+{
+    this->v_[XA] = a.x();
+    this->v_[XB] = b.x();
+    this->v_[XC] = c.x();
+
+    this->v_[YA] = a.y();
+    this->v_[YB] = b.y();
+    this->v_[YC] = c.y();
+
+    this->v_[ZA] = a.z();
+    this->v_[ZB] = b.z();
+    this->v_[ZC] = c.z();
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+template<class Cmpt>
+inline Foam::Barycentric2D<Cmpt> Foam::BarycentricTensor2D<Cmpt>::x() const
+{
+    return
+        Barycentric2D<Cmpt>
+        (
+            this->v_[XA],
+            this->v_[XB],
+            this->v_[XC]
+        );
+}
+
+
+template<class Cmpt>
+inline Foam::Barycentric2D<Cmpt> Foam::BarycentricTensor2D<Cmpt>::y() const
+{
+    return
+        Barycentric2D<Cmpt>
+        (
+            this->v_[YA],
+            this->v_[YB],
+            this->v_[YC]
+        );
+}
+
+
+template<class Cmpt>
+inline Foam::Barycentric2D<Cmpt> Foam::BarycentricTensor2D<Cmpt>::z() const
+{
+    return
+        Barycentric2D<Cmpt>
+        (
+            this->v_[ZA],
+            this->v_[ZB],
+            this->v_[ZC]
+        );
+}
+
+
+template<class Cmpt>
+inline Foam::Vector<Cmpt> Foam::BarycentricTensor2D<Cmpt>::a() const
+{
+    return Vector<Cmpt>(this->v_[XA], this->v_[YA], this->v_[ZA]);
+}
+
+
+template<class Cmpt>
+inline Foam::Vector<Cmpt> Foam::BarycentricTensor2D<Cmpt>::b() const
+{
+    return Vector<Cmpt>(this->v_[XB], this->v_[YB], this->v_[ZB]);
+}
+
+
+template<class Cmpt>
+inline Foam::Vector<Cmpt> Foam::BarycentricTensor2D<Cmpt>::c() const
+{
+    return Vector<Cmpt>(this->v_[XC], this->v_[YC], this->v_[ZC]);
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+// * * * * * * * * * * * * * * * Global Operators  * * * * * * * * * * * * * //
+
+template<class Cmpt>
+inline Vector<Cmpt> operator&
+(
+    const BarycentricTensor2D<Cmpt>& T,
+    const Barycentric2D<Cmpt>& b
+)
+{
+    return Vector<Cmpt>(T.x() & b, T.y() & b, T.z() & b);
+}
+
+
+template<class Cmpt>
+inline Barycentric2D<Cmpt> operator&
+(
+    const Vector<Cmpt>& v,
+    const BarycentricTensor2D<Cmpt>& T
+)
+{
+    return Barycentric2D<Cmpt>(v & T.a(), v & T.b(), v & T.c());
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// ************************************************************************* //
diff --git a/src/OpenFOAM/primitives/Barycentric2D/barycentricTensor2D/barycentricTensor2D.H b/src/OpenFOAM/primitives/Barycentric2D/barycentricTensor2D/barycentricTensor2D.H
new file mode 100644
index 0000000000..724a57bfe3
--- /dev/null
+++ b/src/OpenFOAM/primitives/Barycentric2D/barycentricTensor2D/barycentricTensor2D.H
@@ -0,0 +1,64 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Copyright (C) 2021 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/>.
+
+Typedef
+    Foam::barycentricTensor2D
+
+Description
+    A scalar version of the templated BarycentricTensor2D
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef barycentricTensor2D_H
+#define barycentricTensor2D_H
+
+#include "scalar.H"
+#include "BarycentricTensor2D.H"
+#include "contiguous.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+typedef BarycentricTensor2D<scalar> barycentricTensor2D;
+
+
+template<>
+inline bool contiguous<barycentricTensor2D>()
+{
+    return true;
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //