Files
openfoam/src/mesh/blockMesh/curvedEdges/legacy/polySplineEdge.C
Mark Olesen 5648be03f0 Added Catmull-Rom splines to blockMesh.
- the blockMesh interface is splineEdge.H, selectable as "spline"

The first tests look fine - it works as expected for the case with
buggy polySpline reported on the forum. Should of course do some more
extensive testing.

The advantages compared to the current B-Spline implementation:

- Doesn't need a matrix solver.
- The coding resembles something that can be found in the literature.
- In contrast to the B-Spline implementation, it is fairly clear what
  is actually going on. I don't even know if the B-Spline are actually
  B-Spline, Beta-Splines or something else.
- Catmull-Rom splines seem to be what all the graphics people have as
  their stable workhorse.

We now have 3 different names for splines in blockMesh:
- "spline" - *new* Catmull-Rom for arbitrary segments.
- "simpleSpline" - B-Spline for a single segment
- "polySpline" - B-Spline for a multiple segments

Assuming the Catmull-Rom splines continue to behave nicely, there is
no reason to keep the other (broken) B-Splines. This would help clean
up the blockMesh interface too.

Placed the older ones under legacy/ for easier identification in the
future.

TODO:
- currently no handling of non-zero end tangents
- could be extended to handle closed loops, which might be useful
  for feature edges from CAD (eg, for the cvm mesher)
2009-11-29 17:00:48 +01:00

151 lines
4.0 KiB
C

/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration |
\\ / A nd | Copyright (C) 1991-2009 OpenCFD Ltd.
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM 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.
OpenFOAM is distributed in the 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 OpenFOAM; if not, write to the Free Software Foundation,
Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
\*---------------------------------------------------------------------------*/
#include "polySplineEdge.H"
#include "BSpline.H"
#include "addToRunTimeSelectionTable.H"
// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
namespace Foam
{
defineTypeNameAndDebug(polySplineEdge, 0);
addToRunTimeSelectionTable(curvedEdge, polySplineEdge, Istream);
}
// * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * //
// intervening : returns a list of the points making up the polyLineEdge
// which describes the spline. nBetweenKnots is the number of points
// placed between each knot : this ensures that the knot locations
// are retained as a subset of the polyLine points.
// note that the points are evenly spaced in the parameter mu, not
// in real space
Foam::pointField Foam::polySplineEdge::intervening
(
const pointField& otherknots,
const label nBetweenKnots,
const vector& fstend,
const vector& sndend
)
{
BSpline spl
(
appendEndPoints(curvedEdge::points_, start_, end_, otherknots),
fstend,
sndend
);
const label nSize
(
otherknots.size() * (1 + nBetweenKnots) + nBetweenKnots + 2
);
const label NKnots = spl.nKnots();
const scalar init = 1.0/(NKnots - 1);
scalar interval = (NKnots - scalar(3.0))/NKnots;
interval /= otherknots.size() + 1;
interval /= nBetweenKnots + 1;
pointField ans(nSize);
ans[0] = curvedEdge::points_[start_];
register scalar index(init);
for (register label i=1; i<nSize-1; i++)
{
index += interval;
ans[i] = spl.realPosition(index);
}
ans[nSize-1] = curvedEdge::points_[end_];
return ans;
}
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::polySplineEdge::polySplineEdge
(
const pointField& points,
const label start,
const label end,
const pointField& otherknots,
const label nInterKnots
)
:
curvedEdge(points, start, end),
polyLine
(
intervening
(
otherknots,
nInterKnots,
vector::zero,
vector::zero
)
),
otherKnots_(otherknots)
{}
Foam::polySplineEdge::polySplineEdge
(
const pointField& points,
Istream& is
)
:
curvedEdge(points, is),
polyLine(pointField(0)),
otherKnots_(is)
{
label nInterKnots(20);
vector fstend(is);
vector sndend(is);
polyLine::points_ = intervening(otherKnots_, nInterKnots, fstend, sndend);
calcParam();
}
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
Foam::point Foam::polySplineEdge::position(const scalar mu) const
{
return polyLine::position(mu);
}
Foam::scalar Foam::polySplineEdge::length() const
{
return polyLine::length();
}
// ************************************************************************* //