From f5a47c459712e0145f8ffc5844851ce3233ae837 Mon Sep 17 00:00:00 2001 From: schnetter Date: Tue, 12 Oct 2004 17:22:48 +0000 Subject: Add some comments explaining the variables git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/SphericalSurface/trunk@15 40f6ab95-0e4f-0410-8daa-ee8d7420be1d --- interface.ccl | 38 +++++++++++++++++++++++++------------- 1 file changed, 25 insertions(+), 13 deletions(-) diff --git a/interface.ccl b/interface.ccl index 9f41197..363489f 100644 --- a/interface.ccl +++ b/interface.ccl @@ -7,36 +7,48 @@ IMPLEMENTS: SphericalSurface PUBLIC: -# to be defined by the setting thorn +# To be defined by the setting thorn. +# Suggested meanings: +# zero: No surface is provided at this time step +# negative: No surface could be found at this time step +# positive: The surface data are valid CCTK_INT sf_valid[nsurfaces] TYPE=scalar CCTK_REAL sf_info[nsurfaces] TYPE=scalar { + # The following are covariant quantities: + + # proper area: + # A := int(S) sqrt(q) dS + # with q_ij the 2-metric on the surface + sf_area + + + # The following are coordinate-dependent quantities: - # monopole moment; M := sqrt(A / 4pi) (average coordinate radius) - # with the coordinate area A := int(S) dS + # monopole moment (average coordinate radius): + # M := int(S) h ds / A sf_mean_radius - sf_min_radius sf_max_radius - # dipole moment; D^i := int(S) x^i dS / A + # dipole moment: + # D^i := int(S) x^i dS / A sf_centroid_x sf_centroid_y sf_centroid_z - # quadrupole moment; Q^ij := int(S) y^i y^j dS / A with y^i := x^i - D^i + # quadrupole moment: + # Q^ij := int(S) y^i y^j dS / A with y^i := x^i - D^i sf_quadrupole_xx sf_quadrupole_xy sf_quadrupole_xz sf_quadrupole_yy sf_quadrupole_yz sf_quadrupole_zz - - # bounding box - sf_min_x sf_min_y sf_min_z sf_max_x sf_max_y sf_max_z - - # The following are covariant quantities: - # area; A := int(S) sqrt(q) dS with q_ij the 2-metric on the surface - sf_area + # minimum and maximum coordinate radius + sf_min_radius sf_max_radius + + # bounding box + sf_min_x sf_min_y sf_min_z sf_max_x sf_max_y sf_max_z } "Surface information" -- cgit v1.2.3