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biotsavart


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 -- Loadable Function: vi = biotsavart (...)
     Calculates vortex-induced velocities using Biot-Savart law.

 -- Loadable Function: vi = biotsavart (CP, X, DIR, "f")
     `VI(i,j,1:3)' is the velocity induced in `CP(i,1:3)' by a vortex
     ray starting in `X(j,1:3)' and going in the direction DIR(1:3).

 -- Loadable Function: vn = biotsavart (CP, CN, X, DIR, "fn")
     `VI(i,j,1:3)' is the velocity induced in `CP(i,1:3)' in the
     direction `CN(i,1:3)' by a vortex ray starting in `X(j,1:3)' and
     going in the direction DIR(1:3).

 -- Loadable Function: vi = biotsavart (CP, X, Y, "b")
     `VI(i,j,1:3)' is the velocity induced in `CP(i,1:3)' by a vortex
     segment joining `X(j,1:3)' and `Y(j,1:3)'.

 -- Loadable Function: vn = biotsavart (CP, CN, X, Y, "bn")
     `VI(i,j,1:3)' is the velocity induced in `CP(i,1:3)' in the
     direction `CN(i,1:3)' by a vortex segment joining `X(j,1:3)' and
     `Y(j,1:3)'.

 -- Loadable Function: vi = biotsavart (CP, X, "c")
     `VI(i,j,1:3)' is the velocity induced in `CP(i,1:3)' by a vortex
     segment joining `X(j,1:3)' and `X(j+1,1:3)'.

 -- Loadable Function: vn = biotsavart (CP, CN, X, "cn")
     `VI(i,j,1:3)' is the velocity induced in `CP(i,1:3)' in the
     direction `CN(i,1:3)' by a vortex segment joining `X(j,1:3)' and
     `X(j+1,1:3)'.


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Calculates vortex-induced velocities using Biot-Savart law.



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vitensor


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 -- Loadable Function: [VXG, VYG, VX0, VY0] = vitensor (ALFA, XAC, YAC,
          ZAC, SYM)
     Computes the induced velocities tensors on a lifting line
     approximated by a chain of vortex segments. ALFA is the angle of
     attack (relative to x-z plane), XAC, YAC, ZAC are coordinates of
     the lifting line points (chordwise, vertical, spanwise). SYM
     denotes symmetry - only half of the lifting line is given, the
     other half is obtained by mirroring by the xy plane.  On return,
     VXG and VYG are jacobians of induced local x and y velocities -
     the velocities induced by j-th vortex on i-th collocation point are
     given by VXG(i,j), VYG(i,j). VX0(i), VY0(i) denote local
     velocities induced on the collocation point by freestream. Thus,
     if GAM is a vector of panel circulations, the corresponding
     induced velocities can be calculated as `VX = VXG*GAM+VX0; VY =
     VYG*GAM+VY0;'


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Computes the induced velocities tensors on a lifting line approximated
by a chai





