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Revision as of 21:42, 13 June 2012

GfsMetricLaplace computes a numerical orthogonal mapping of the computational space (rx,ry) into the physical space x=(x,y,z) by solving

2x = -2Hn

where 2 is the Laplace-Beltrami operator, n is the normal to the surface and H is the mean curvature.

The syntax in parameter files is

MetricLaplace M { spherical = 0 conformal = 0 }

The parameter block is optional. If spherical is set to one, the mapping is from the plane in computational coordinates to the sphere in physical coordinates. If conformal is set to one, a conformal Laplace-Beltrami operator is used (the existence of such a mapping depends on the boundary conditions).

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