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diff --git a/src/functors/analytical/indicator/indicCalc3D.h b/src/functors/analytical/indicator/indicCalc3D.h
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+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2018 Albert Mink
+ *  E-mail contact: info@openlb.net
+ *  The most recent release of OpenLB can be downloaded at
+ *  <http://www.openlb.net/>
+ *
+ *  This program 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 2
+ *  of the License, or (at your option) any later version.
+ *
+ *  This program 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 this program; if not, write to the Free
+ *  Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ *  Boston, MA  02110-1301, USA.
+*/
+
+#ifndef INDIC_CALC_3D_H
+#define INDIC_CALC_3D_H
+
+#include "utilities/arithmetic.h"
+#include "indicatorBaseF3D.h"
+
+namespace olb {
+
+
+/*
+ *  arithmetic helper classes for IndicatorF3D, smoothIndicator3D
+ *  UNION         +
+ *  WITHOUT       -
+ *  INTERSECTION  *
+*/
+
+//////////////////////////////// indicCalc3D ////////////////////////////////
+/// arithmetic helper class for Indicator 3d functors
+template <typename S, template<typename U> class F>
+class IndicCalc3D : public IndicatorF3D<S> {
+protected:
+  std::shared_ptr<IndicatorF3D<S>> _f;
+  std::shared_ptr<IndicatorF3D<S>> _g;
+public:
+  IndicCalc3D( std::shared_ptr<IndicatorF3D<S>> f, std::shared_ptr<IndicatorF3D<S>> g );
+
+  bool operator() (bool output[], const S input[3]) override;
+};
+
+/// Addition functor (W==bool: Union)
+template <typename S>
+using IndicPlus3D = IndicCalc3D<S,util::plus>;
+template <typename S>
+using IndicMinus3D = IndicCalc3D<S,util::minus>;
+template <typename S>
+using IndicMultiplication3D = IndicCalc3D<S,util::multiplies>;
+
+/** Free function implements lhs+rhs, only for IndicaotrsF3D types through enable_if and is_base_of
+ *
+ * \tparam S usual type for source dimension of the functor
+ * \tparam F1 lhs has to be derived from IndicatorF3D, otherwise function is disabled
+ * \tparam F2 rhs
+ */
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator+(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator-(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorF3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator*(std::shared_ptr<F1<S>> lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator+(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator-(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+
+template<typename S, template <typename U> class F1, template <typename V> class F2,
+         typename=typename std::enable_if<std::is_base_of<IndicatorIdentity3D<S>, F1<S>>::value>::type>
+std::shared_ptr<IndicatorF3D<S>> operator*(F1<S> & lhs, std::shared_ptr<F2<S>> rhs);
+} // end namespace olb
+
+#endif