(*********************************************************************\
sensitivity_test.asc
by Ben Allan
Part of the Ascend Library
This file is part of the Ascend modeling library.
Copyright (C) 1996
The Ascend modeling library 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.
The Ascend Language Interpreter is distributed in 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
the program; if not, write to the Free Software Foundation, Inc., 675
Mass Ave, Cambridge, MA 02139 USA. Check the file named COPYING.
This module is used to calculate the sensitity matrix dX/dU where
X is a vector OF vapor compositions and U is a vector OF liquid
compositions. This sensitivity matrix is THEN used to calculate
J, the Jacobian, as described IN Fidkowski et al. (1995).
\*********************************************************************)
REQUIRE "system.a4l";
IMPORT "sensitivity";
MODEL sensitivity_test;
nc IS_A integer_constant;
X[1..nc] IS_A solver_var;
U[1..nc], Unew[1..nc] IS_A solver_var;
dx_du[1..nc][1..nc] IS_A solver_var;
(* system *)
k,x,y,u IS_A solver_var;
k*x - y = 7;
y = u^2;
(* dx/du = 2*u/k *)
nc:==1;
u,U[1] ARE_THE_SAME;
x,X[1] ARE_THE_SAME;
METHODS
METHOD values;
END values;
METHOD clear;
END clear;
METHOD specify;
FIX u, k;
END specify;
METHOD reset;
RUN clear;
RUN specify;
END reset;
METHOD analyze;
EXTERNAL do_sensitivity(SELF,U[1..nc],X[1..nc],dx_du[1..nc][1..nc]);
END analyze;
END sensitivity_test;