PDNMESH_INPUT(5) PdnMesh Manual PDNMESH_INPUT(5) NAME pdnmesh input format - used by pdnmesh, a 2D finite element program SYNOPSIS None. DESCRIPTION pdnmesh is a 2D finite element problem solver. The specification of the problem to be solved should be given to pdnmesh using a text file with a standard format. The input file name should be specified to pdnmesh using the -i option. Lines starting with a "#" or blank lines are ignored. The input file can be divided into the following sections. SECTIONS Input point set: The first line should give the number of points defined. The following lines should specify the point number, x coordinate, y coordinate, poten- tial and whether the potential is fixed(1) or variable(0). The numbering of the points should start from 0. Line set: After the points, the detail about the lines or edges follow. It starts by giving the number of lines, below which on each line of the file, one edge is described. The format for describing an edge is: line number, first point, second point and whether the line is Neumann(0) or Dirichlet(1). As in points, numbering starts from 0. Boundaries: Finally, the boundaries should be specified. Boundaries are required to specify the problem geometry as well as to define material properties. In any problem there is at least one boundary i.e. the outer boundary. The first line in the boundaries section should give the number of bound- aries defined. There should be at least one. Then, the outer boundary de- tail should be specified and afterwards the remaining boundaries described in any order. When describing any boundary, the following format should be used. In the first line, five items must be specified. The first one is the number of edges in the boundary. Next, either 1 or 0 should be given to keep or delete the triangles within this boundary. The third item is the value of mu or permeability of the medium. Next, the fourth item is the permittivity or epsilon of the material. Finally, the charge density or current density should be specified. It should be noted that for most problems, all these values are not required and hence default (free space) values can be substituted. For instance, in an electrostatic problem, the permeability can be given as 1. For the charge density or current density, an algebraic expression can be given. For instance, rho can be a constant like 1.00 or -2.11 or an expres- sion like x+y*2, where x and y specify the coordinates. The mathematical operators and functions that can be used are: + addition 2 + y - subtraction 1 - x * multiplication y*5.5 ^ power x^2 sin() sine function cos() cosine function log() natural logarithm step() step function abs() modulus It should be noted that some triangles would belong to more than one bound- ary. If so, the properties of these triangles will be dependent on the last updated boundary. Hence, it is advised to specify the smallest boundaries after specifying larger boundaries in the input file. It is possible to import CAD Drawing Interchange Format (DXF) files to pdn- Mesh. Please see the tutorial for more detail. SEE ALSO pdnmesh(1) COPYRIGHT Copyright (C) 2001-2005 Sarod Yatawatta Permission to use, copy, modify, and distribute this software and its docu- mentation for any purpose and without fee is hereby granted, provided that the above copyright notice appear in all copies and that both copyright no- tice and this permission notice appear in supporting documentation. Version 0.2.2 2005 April PDNMESH_INPUT(5)
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