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% Copyright (C) 2008 VZLU Prague, a.s., Czech Republic
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% Author: Jaroslav Hajek <highegg@gmail.com>
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% This file is part of NLWing2.
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% NLWing2 is free software; you can redistribute it and/or modify
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% it under the terms of the GNU General Public License as published by
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% the Free Software Foundation; either version 3 of the License, or
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% (at your option) any later version.
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% This program is distributed in the hope that it will be useful,
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% but WITHOUT ANY WARRANTY; without even the implied warranty of
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% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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% GNU General Public License for more details.
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% You should have received a copy of the GNU General Public License
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% along with this software; see the file COPYING. If not, see
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% <http://www.gnu.org/licenses/>.
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% @deftypefn{Function File} {dg =} floweqj (g, flow)
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% this function calculates the jacobian of @w{floweq} w.r.t. @var{g}.
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function eqj = floweqj (g, flow)
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% calc local velocities
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vx = flow.vxg*g + flow.vx0;
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vy = flow.vyg*g + flow.vy0;
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% local angles of attack
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alfa = atan2 (vy, vx);
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cl = spwinterp (alfa, wing, [wing.pol.cl]);
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cld = spwinterp (alfa, wing, [wing.pol.cld], true);
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v = sqrt (vx.^2 + vy.^2);
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gvx = 0.5 * (vx .* cl - vy .* cld) ./ v;
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gvy = 0.5 * (vy .* cl + vx .* cld) ./ v;
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eqj = diag (gvx) * flow.vxg + diag (gvy) * flow.vyg - eye (length (g));
added
removed
inst/floweqj.m
