SemiLagrangian2.h

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/*************************************************************************
> File Name: SemiLagrangian2.h
> Project Name: CubbyFlow
> Author: Chan-Ho Chris Ohk
> Purpose: Implementation of 2-D semi-Lagrangian advection solver.
> Created Time: 2017/08/07
> Copyright (c) 2018, Chan-Ho Chris Ohk
*************************************************************************/
#ifndef CUBBYFLOW_SEMI_LAGRANGIAN2_H
#define CUBBYFLOW_SEMI_LAGRANGIAN2_H

#include <Core/Solver/Advection/AdvectionSolver2.h>

namespace CubbyFlow
{
    class SemiLagrangian2 : public AdvectionSolver2
    {
    public:
        SemiLagrangian2();

        virtual ~SemiLagrangian2();

        void Advect(
            const ScalarGrid2& input,
            const VectorField2& flow,
            double dt,
            ScalarGrid2* output,
            const ScalarField2& boundarySDF = ConstantScalarField2(std::numeric_limits<double>::max())) final;

        void Advect(
            const CollocatedVectorGrid2& input,
            const VectorField2& flow,
            double dt,
            CollocatedVectorGrid2* output,
            const ScalarField2& boundarySDF = ConstantScalarField2(std::numeric_limits<double>::max())) final;

        void Advect(
            const FaceCenteredGrid2& input,
            const VectorField2& flow,
            double dt,
            FaceCenteredGrid2* output,
            const ScalarField2& boundarySDF = ConstantScalarField2(std::numeric_limits<double>::max())) final;

    protected:
        virtual std::function<double(const Vector2D&)> GetScalarSamplerFunc(const ScalarGrid2& input) const;

        virtual std::function<Vector2D(const Vector2D&)> GetVectorSamplerFunc(const CollocatedVectorGrid2& input) const;

        virtual std::function<Vector2D(const Vector2D&)> GetVectorSamplerFunc(const FaceCenteredGrid2& input) const;

    private:
        Vector2D BackTrace(
            const VectorField2& flow,
            double dt,
            double h,
            const Vector2D& pt0,
            const ScalarField2& boundarySDF) const;
    };

    using SemiLagrangian2Ptr = std::shared_ptr<SemiLagrangian2>;
}

#endif