diff --git a/applications/test/sliceRange/Make/files b/applications/test/sliceRange/Make/files
new file mode 100644
index 0000000000..6d24718f23
--- /dev/null
+++ b/applications/test/sliceRange/Make/files
@@ -0,0 +1,3 @@
+Test-sliceRange.C
+
+EXE = $(FOAM_USER_APPBIN)/Test-sliceRange
diff --git a/applications/test/sliceRange/Make/options b/applications/test/sliceRange/Make/options
new file mode 100644
index 0000000000..18e6fe47af
--- /dev/null
+++ b/applications/test/sliceRange/Make/options
@@ -0,0 +1,2 @@
+/* EXE_INC = */
+/* EXE_LIBS = */
diff --git a/applications/test/sliceRange/Test-sliceRange.C b/applications/test/sliceRange/Test-sliceRange.C
new file mode 100644
index 0000000000..477283ebb7
--- /dev/null
+++ b/applications/test/sliceRange/Test-sliceRange.C
@@ -0,0 +1,136 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  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/>.
+
+Description
+    Test slice range
+\*---------------------------------------------------------------------------*/
+
+#include "argList.H"
+#include "labelList.H"
+#include "FixedList.H"
+#include "sliceRange.H"
+
+using namespace Foam;
+
+
+typedef FixedList<label, 3> sliceCoeffs;
+
+void printInfo(const sliceCoeffs& coeffs)
+{
+    sliceRange range(coeffs);
+
+    Info<< nl
+        << "coeffs: " << coeffs << nl
+        << "range: " << range << nl
+        << "first: " << range.first() << nl
+        << "*begin  " << *range.begin() << nl
+        << "last:  " << range.last() << nl
+        << "*end    " << *range.end() << nl
+        << "values: " << flatOutput(range.labels()) << nl;
+
+    Info<< "for  :";
+    for (const label val : range)
+    {
+        Info<< ' ' << val;
+    }
+    Info<< nl;
+
+    if (range.empty())
+    {
+        Info<< "empty"<< nl;
+        return;
+    }
+
+    Info<< "mid-point [" << (range.size()/2) << "] = "
+        << range[range.size()/2] << nl;
+
+    const auto endIter = range.cend();
+
+    for (const label i : {-1, (range.size()/2), range.size()})
+    {
+        const auto iter = range.at(i);
+
+        Info<< "at(" << i << ") = " << *iter;
+
+        if (iter == endIter)
+        {
+            Info<< " (out-of-range)";
+        }
+
+        Info<< nl;
+    }
+
+    // Copy construct
+    sliceRange range2(range);
+
+    // Copy assign
+    range2 = range;
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+//  Main program:
+
+int main(int argc, char *argv[])
+{
+    argList::noBanner();
+    argList::noParallel();
+    argList::noFunctionObjects();
+
+    argList args(argc, argv, false, true);
+
+
+    for
+    (
+        sliceCoeffs coeffs :
+        {
+            sliceCoeffs{25, 8, 2},
+            sliceCoeffs{15, 5, 3},
+            sliceCoeffs{15, -5, 2},
+        }
+    )
+    {
+        printInfo(coeffs);
+    }
+
+
+    // Generator
+    {
+        sliceRange range(25, 8, 3);
+
+        Info<< "Generator for " << range << nl;
+
+        auto gen = range.generator();
+
+        for (label i=0; i < 10; ++i)
+        {
+            Info<< "    " << gen() << nl;
+        }
+    }
+
+    Info<< "\nEnd\n" << endl;
+
+    return 0;
+}
+
+// ************************************************************************* //
diff --git a/src/OpenFOAM/Make/files b/src/OpenFOAM/Make/files
index b3c9ecfdcc..0e7ae03ba7 100644
--- a/src/OpenFOAM/Make/files
+++ b/src/OpenFOAM/Make/files
@@ -147,6 +147,7 @@ $(ranges)/labelRange/labelRange.C
 $(ranges)/labelRange/labelRanges.C
 $(ranges)/scalarRange/scalarRange.C
 $(ranges)/scalarRange/scalarRanges.C
+$(ranges)/sliceRange/sliceRange.C
 $(ranges)/tableBounds/tableBounds.C
 
 spatialVectorAlgebra = primitives/spatialVectorAlgebra
diff --git a/src/OpenFOAM/primitives/ranges/sliceRange/sliceRange.C b/src/OpenFOAM/primitives/ranges/sliceRange/sliceRange.C
new file mode 100644
index 0000000000..0a39749b26
--- /dev/null
+++ b/src/OpenFOAM/primitives/ranges/sliceRange/sliceRange.C
@@ -0,0 +1,78 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  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 "sliceRange.H"
+#include "FixedList.H"
+#include "List.H"
+#include "token.H"
+#include <algorithm>
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::sliceRange::sliceRange(const FixedList<label,3>& coeffs)
+:
+    start_(coeffs[0]),
+    size_(std::max(0,coeffs[1])),   // No negative size
+    stride_(std::max(0,coeffs[2]))  // No negative stride
+{}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+Foam::List<Foam::label> Foam::sliceRange::labels() const
+{
+    List<label> result(size_);
+
+    if (stride_)
+    {
+        std::copy(cbegin(), cend(), result.begin());
+
+        // Or even this
+        // std::generate(result.begin(), result.end(), generator());
+    }
+    else
+    {
+        std::fill(result.begin(), result.end(), start_);
+    }
+
+    return result;
+}
+
+
+// * * * * * * * * * * * * * * * IOstream Operators  * * * * * * * * * * * * //
+
+Foam::Ostream& Foam::operator<<(Ostream& os, const sliceRange& range)
+{
+    os  << token::BEGIN_LIST
+        << range.start() << token::SPACE
+        << range.size() << token::SPACE
+        << range.stride() << token::END_LIST;
+
+    os.check(FUNCTION_NAME);
+    return os;
+}
+
+
+// ************************************************************************* //
diff --git a/src/OpenFOAM/primitives/ranges/sliceRange/sliceRange.H b/src/OpenFOAM/primitives/ranges/sliceRange/sliceRange.H
new file mode 100644
index 0000000000..f94faccd06
--- /dev/null
+++ b/src/OpenFOAM/primitives/ranges/sliceRange/sliceRange.H
@@ -0,0 +1,345 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  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::sliceRange
+
+Description
+    A set of labels defined by a start, a length and a stride.
+
+SourceFiles
+    sliceRange.C
+    sliceRangeI.H
+
+\*---------------------------------------------------------------------------*/
+#ifndef sliceRange_H
+#define sliceRange_H
+
+#include "label.H"
+#include <iterator>
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+// Forward Declarations
+class Ostream;
+template<class T> class List;
+template<class T, unsigned N> class FixedList;
+
+/*---------------------------------------------------------------------------*\
+                         Class sliceRange Declaration
+\*---------------------------------------------------------------------------*/
+
+class sliceRange
+{
+protected:
+
+    // Protected Data
+
+        //- The start point for the interval
+        label start_;
+
+        //- The length of the interval
+        label size_;
+
+        //- The stride within the interval
+        label stride_;
+
+
+public:
+
+    // STL type definitions
+
+        //- Type of values the range contains
+        typedef label value_type;
+
+        //- The type that can represent the size of the range
+        typedef label size_type;
+
+        //- Forward iterator with const access
+        class const_iterator;
+
+
+    // Constructors
+
+        //- Default copy construct
+        sliceRange(const sliceRange&) = default;
+
+        //- Default move construct
+        sliceRange(sliceRange&&) = default;
+
+        //- An empty slice (0,0,0)
+        inline constexpr sliceRange() noexcept;
+
+        //- Construct slice from start/size/stride,
+        //- enforcing non-negative size and stride.
+        inline sliceRange(label start, label size, label stride) noexcept;
+
+        //- Construct slice from start/size/stride coefficients,
+        //- enforcing non-negative size and stride.
+        explicit sliceRange(const FixedList<label,3>& coeffs);
+
+
+    // Member Functions
+
+        //- Is the range empty?
+        bool empty() const noexcept
+        {
+            return !size_;
+        }
+
+        //- Is the range non-empty?
+        bool valid() const noexcept
+        {
+            return size_;
+        }
+
+        //- The (inclusive) lower value of the range
+        constexpr label start() const noexcept
+        {
+            return start_;
+        }
+
+        //- The size of the range
+        constexpr label size() const noexcept
+        {
+            return size_;
+        }
+
+        //- The stride for the range
+        constexpr label stride() const noexcept
+        {
+            return stride_;
+        }
+
+        //- The (inclusive) lower value of the range - same as start()
+        constexpr label first() const noexcept
+        {
+            return start_;
+        }
+
+        //- The (inclusive) upper value of the range
+        label last() const noexcept
+        {
+            return start_ + (size_-1) * stride_;
+        }
+
+        //- Return the slice as a list of labels
+        List<label> labels() const;
+
+
+    // Member Operators
+
+        //- Default copy assignment
+        sliceRange& operator=(const sliceRange&) = default;
+
+        //- Default move assignment
+        sliceRange& operator=(sliceRange&&) = default;
+
+        //- Return element in the range, without bounds checking
+        inline label operator[](const label i) const noexcept;
+
+
+    // Iterators
+
+        //- A value indexer, for iteration or generation
+        class indexer
+        {
+            //- The stride when indexing
+            const label stride_;
+
+            //- The global value
+            label value_;
+
+        public:
+
+        // Constructors
+
+            //- Construct from range at given local index.
+            //  An out-of-range index (eg, negative) creates an 'end' iterator
+            inline indexer(const sliceRange* range, const label i=0);
+
+
+        // Member Functions
+
+            //- Forward increment, no checking
+            inline void next() noexcept;
+
+            //- Forward increment, no checking
+            inline void next(const label n) noexcept;
+
+            //- Test for equality of values, not stride
+            inline bool equals(const indexer& other) const noexcept;
+
+        public:
+
+        // Member Operators
+
+            //- Return the value
+            inline label operator*() const noexcept;
+
+            //- Apply a postfix increment and return the current value.
+            //  This operator definition is required for a generator -
+            //  see std::generate()
+            inline label operator()();
+        };
+
+
+        //- Forward iterator with const access
+        class const_iterator
+        :
+            protected indexer,
+            public std::iterator
+            <
+                std::input_iterator_tag,
+                label,
+                label,
+                const label*,
+                const label&
+            >
+        {
+        public:
+
+        // Constructors
+
+            //- Construct from range at given local index.
+            //  An out-of-range index (eg, negative) creates an 'end' iterator
+            inline const_iterator(const sliceRange* range, const label i=0);
+
+
+        // Member Operators
+
+            //- Return the (global) value
+            using indexer::operator*;
+
+            //- Prefix increment, no checking
+            inline const_iterator& operator++() noexcept;
+
+            //- Arbitrary increment, no checking
+            inline const_iterator& operator+=(const label n) noexcept;
+
+            //- Prefix decrement, no checking
+            inline const_iterator& operator--() noexcept;
+
+            //- Arbitrary decrement, no checking
+            inline const_iterator& operator-=(const label n) noexcept;
+
+            //- Test for equality of values, not stride
+            inline bool operator==(const const_iterator& iter) const noexcept;
+
+            //- Test for inequality of values, not stride
+            inline bool operator!=(const const_iterator& iter) const noexcept;
+        };
+
+
+        //- A const_iterator set to the beginning of the range
+        //  The value returned is guaranteed to be the same as start()
+        inline const_iterator begin() const;
+
+        //- A const_iterator set to the beginning of the range
+        //  The value returned is guaranteed to be the same as start()
+        inline const_iterator cbegin() const;
+
+        //- A const_iterator set to 1 beyond the end of the range.
+        //  The value returned is the same as after()
+        inline const const_iterator cend() const;
+
+        //- A const_iterator set to 1 beyond the end of the range.
+        //  The value returned is the same as after()
+        inline const const_iterator end() const;
+
+        //- Return a forward values generator
+        inline indexer generator() const;
+
+        //- Return const_iterator to a position within the range,
+        //- with bounds checking.
+        //  \return iterator at the requested position, or end() for
+        //      out of bounds
+        inline const_iterator at(const label i) const;
+};
+
+
+// IOstream Operators
+
+//- Write sliceRange to Ostream as (start size stride) tuple
+Ostream& operator<<(Ostream& os, const sliceRange& range);
+
+
+// Global Operators
+
+inline bool operator==(const sliceRange& a, const sliceRange& b) noexcept
+{
+    return
+    (
+        a.first() == b.first()
+     && a.size() == b.size()
+     && a.stride() == b.stride()
+    );
+}
+
+
+inline bool operator!=(const sliceRange& a, const sliceRange& b) noexcept
+{
+    return !(a == b);
+}
+
+
+//- Comparison function for sorting, compares the start.
+//  If the start values are equal, also compares the size.
+//  If the sizes are equal, also compares the stride.
+inline bool operator<(const sliceRange& a, const sliceRange& b) noexcept
+{
+    return
+    (
+        a.first() < b.first()
+     ||
+        (
+            !(b.first() < a.first())
+         &&
+            (
+                a.size() < b.size()
+             ||
+                (
+                    !(b.size() < a.size())
+                 && a.stride() < b.stride()
+                )
+            )
+        )
+    );
+
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#include "sliceRangeI.H"
+
+#endif
+
+// ************************************************************************* //
diff --git a/src/OpenFOAM/primitives/ranges/sliceRange/sliceRangeI.H b/src/OpenFOAM/primitives/ranges/sliceRange/sliceRangeI.H
new file mode 100644
index 0000000000..e5d8780c5b
--- /dev/null
+++ b/src/OpenFOAM/primitives/ranges/sliceRange/sliceRangeI.H
@@ -0,0 +1,208 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  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 <algorithm>
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+inline constexpr Foam::sliceRange::sliceRange() noexcept
+:
+    start_(0),
+    size_(0),
+    stride_(0)
+{}
+
+
+inline Foam::sliceRange::sliceRange
+(
+    const label start,
+    const label size,
+    const label stride
+) noexcept
+:
+    start_(start),
+    size_(std::max(0,size)),    // No negative size
+    stride_(std::max(0,stride)) // No negative stride
+{}
+
+
+// * * * * * * * * * * * * * * * * Iterators * * * * * * * * * * * * * * * * //
+
+inline Foam::sliceRange::indexer::indexer
+(
+    const sliceRange* range,
+    const label i
+)
+:
+    stride_(range->stride()),
+    value_
+    (
+        range->start()
+      + ((i < 0 || i > range->size()) ? range->size() : i) * stride_
+    )
+{}
+
+
+inline void Foam::sliceRange::indexer::next() noexcept
+{
+    value_ += stride_;
+}
+
+
+inline void Foam::sliceRange::indexer::next(const label n) noexcept
+{
+    value_ += (n * stride_);
+}
+
+
+inline bool Foam::sliceRange::indexer::equals
+(
+    const indexer& other
+) const noexcept
+{
+    return (value_ == other.value_);
+}
+
+
+inline Foam::label Foam::sliceRange::indexer::operator*() const noexcept
+{
+    return value_;
+}
+
+
+inline Foam::label Foam::sliceRange::indexer::operator()()
+{
+    const label old(value_);
+    next();
+    return old;
+}
+
+
+inline Foam::sliceRange::const_iterator::const_iterator
+(
+    const sliceRange* range,
+    const label i
+)
+:
+    indexer(range, i)
+{}
+
+
+inline Foam::sliceRange::const_iterator&
+Foam::sliceRange::const_iterator::operator++() noexcept
+{
+    next();
+    return *this;
+}
+
+
+inline Foam::sliceRange::const_iterator&
+Foam::sliceRange::const_iterator::operator+=(const label n) noexcept
+{
+    next(n);
+    return *this;
+}
+
+
+inline Foam::sliceRange::const_iterator&
+Foam::sliceRange::const_iterator::operator--() noexcept
+{
+    next(-1);
+    return *this;
+}
+
+
+inline Foam::sliceRange::const_iterator&
+Foam::sliceRange::const_iterator::operator-=(const label n) noexcept
+{
+    next(-n);
+    return *this;
+}
+
+
+inline bool Foam::sliceRange::const_iterator::operator==
+(
+    const const_iterator& iter
+) const noexcept
+{
+    return equals(iter);
+}
+
+
+inline bool Foam::sliceRange::const_iterator::operator!=
+(
+    const const_iterator& iter
+) const noexcept
+{
+    return !equals(iter);
+}
+
+
+inline Foam::sliceRange::const_iterator Foam::sliceRange::begin() const
+{
+    return const_iterator(this, 0);
+}
+
+
+inline Foam::sliceRange::const_iterator Foam::sliceRange::cbegin() const
+{
+    return const_iterator(this, 0);
+}
+
+
+inline const Foam::sliceRange::const_iterator Foam::sliceRange::end() const
+{
+    return const_iterator(this, -1);
+}
+
+
+inline const Foam::sliceRange::const_iterator Foam::sliceRange::cend() const
+{
+    return const_iterator(this, -1);
+}
+
+
+inline Foam::sliceRange::indexer Foam::sliceRange::generator() const
+{
+    return indexer(this, 0);
+}
+
+
+inline Foam::sliceRange::const_iterator
+Foam::sliceRange::at(const label i) const
+{
+    return const_iterator(this, i);
+}
+
+
+// * * * * * * * * * * * * * * * Member Operators  * * * * * * * * * * * * * //
+
+inline Foam::label Foam::sliceRange::operator[](const label i) const noexcept
+{
+    return start_ + stride_ * i;
+}
+
+
+// ************************************************************************* //