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/usr/share/doc/rheolef-doc/examples/streamf_contraction.cc is in rheolef-doc 6.7-6.

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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "poiseuille.h"
int main (int argc, char** argv) {
  environment rheolef (argc, argv);
  field uh;
  din >> uh;
  const geo& omega = uh.get_geo();
  size_t d = omega.dimension();
  string sys_coord = omega.coordinate_system_name();
  Float c = omega.xmax()[1];
  string approx = "P" + itos(uh.get_space().degree());
  space Ph (omega, approx);
  Ph.block("upstream");
  Ph.block("wall");
  Ph.block("axis");
  space Wh (omega["upstream"], approx);
  const space& Xh = uh.get_space();
  field psi_h (Ph, 0);
  psi_h["upstream"] = interpolate (Wh, psi_poiseuille(c,sys_coord));
  psi_h["wall"] = 0;
  psi_h["axis"] = -1;
  form_option_type fopt;
  fopt.ignore_sys_coord = true;
  trial psi (Ph), u (Xh);
  test   xi (Ph), v (Xh);
  form a = (d == 3) ? integrate (ddot(grad(psi), grad(xi)))
                    : integrate ( dot(grad(psi), grad(xi)), fopt);
  field lh = integrate (dot(uh,bcurl(xi)));
  solver sa (a.uu());
  psi_h.set_u() = sa.solve (lh.u() - a.ub()*psi_h.b());
  dout << catchmark("psi") << psi_h;
}