viscSpongelayer_box2d_for_coord Function

  function viscSpongelayer_box2d_for_coord(me, coord, n)  &
    &                           result(res)
    ! --------------------------------------------------------------------------
    !> Spacetime function to evaluate
    type(tem_spongeLayer_box_type) :: me
    !> Number of arrays to return
    integer, intent(in) :: n
    !> barycentric Ids of an elements.
    !! 1st index goes over number of elements and
    !! 2nd index goes over x,y,z coordinates
    real(kind=rk), intent( in ) :: coord(n,3)
    !> return value
    real(kind=rk) :: res(n)
    ! --------------------------------------------------------------------------
    integer :: i
    real(kind=rk) :: sigma, origin(2), extent(2), box_max(2), proj_len
    real(kind=rk) :: coordLoc(2), normal, vec_min(2), vec_max(2)
    real(kind=rk) :: rad, vec_minSqr(2), vec_maxSqr(2)
    ! --------------------------------------------------------------------------
    origin(:) = me%origin(1:2)
    extent(:) = me%extent(1:2)
    box_max(:) = origin(:) + extent(:)

    do i = 1,n
      coordLoc = coord(i,1:2)
      vec_min(:) = coordLoc(:) - origin(:)
      vec_max(:) = coordLoc(:) - box_max(:)
      vec_minSqr(:) = vec_min(:)**2
      vec_maxSqr(:) = vec_max(:)**2
      normal = 1.0_rk
      rad = 0.0_rk


      if (coordLoc(1) < origin(1) .and. coordLoc(2) < origin(2)) then
        ! South-West: -x,-y
        rad = sqrt( max(vec_minSqr(1), vec_minSqr(2)) )

      else if (coordLoc(1) < origin(1) .and. coordLoc(2) > box_max(2)) then
        ! North-West: -x, y
        rad = sqrt( max(vec_minSqr(1), vec_maxSqr(2)) )

      else if (coordLoc(1) > box_max(1) .and. coordLoc(2) < origin(2)) then
        ! South-East: x, -y
        rad = sqrt( max(vec_maxSqr(1), vec_minSqr(2)) )

      else if (coordLoc(1) > box_max(1) .and. coordLoc(2) > box_max(2)) then
        ! North-East: x, y
        rad = sqrt( max(vec_maxSqr(1), vec_maxSqr(2)) )

      else if (coordLoc(1) < origin(1)) then ! West: -x
        normal = -1_rk
        rad = vec_min(1)

      else if (coordLoc(2) < origin(2)) then ! South: -y
        normal = -1_rk
        rad = vec_min(2)

      else if (coordLoc(1) > box_max(1)) then ! East: x
        normal = 1_rk
        rad = vec_max(1)

      else if (coordLoc(2) > box_max(2)) then ! North: y
        normal = 1_rk
        rad = vec_max(2)
      end if

      proj_len = rad*normal/me%thickness
      sigma = 1.0_rk + (me%dampFactor-1.0_rk)*((proj_len)**me%dampExponent)
      if (proj_len > 0 .and. proj_len < 1) then
        res(i) = sigma * me%targetState(1)
      else if (proj_len > 1) then
        res(i) = me%dampFactor * me%targetState(1)
      else
        res(i) = me%targetState(1)
      end if

    end do

  end function viscSpongelayer_box2d_for_coord