function p16_demo ( iteration_max, h ) %*****************************************************************************80 % %% P16_DEMO runs the 2D demo problem #2, with mesh size H. % % Discussion: % % The P16 region is a quarter sector of a circular annulus. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 13 March 2008 % % Author: % % John Burkardt % % Reference: % % Per-Olof Persson and Gilbert Strang, % A Simple Mesh Generator in MATLAB, % SIAM Review, % Volume 46, Number 2, June 2004, pages 329-345. % % Parameters: % % Input, integer ITERATION_MAX, the maximum number of iterations that DISTMESH % should take. (The program might take fewer iterations if it detects convergence.) % % Input, real H, the mesh spacing parameter. % global R1 R2 R1 = 0.4; R2 = 1.0; if ( nargin < 1 ) iteration_max = 200; fprintf ( 1, '\n' ); fprintf ( 1, 'P16_DEMO - Note:\n' ); fprintf ( 1, ' No value of ITERATION_MAX was supplied.\n' ); fprintf ( 1, ' The default value ITERATION_MAX = %d will be used.\n', ... iteration_max ); end if ( nargin < 2 ) h = 0.10; fprintf ( 1, '\n' ); fprintf ( 1, 'P16_DEMO - Note:\n' ); fprintf ( 1, ' No value of H was supplied.\n' ); fprintf ( 1, ' The default value H = %f will be used.\n', h ); end % % Put the random number generator into a fixed initial state. % rand ( 'state', 111 ); % % Set the rendering method for the current figure to Z-buffering. % set ( gcf, 'rend', 'z' ); fprintf ( 1, '\n' ); fprintf ( 1, 'Problem 16:\n' ); fprintf ( 1, ' Kevin Pond''s elbow (quarter circular annulus), h = %f\n', h ) fd = @p16_fd; fh = @p16_fh; box = [ 0.0, 0.0; 1.0, 1.0 ]; fixed = [ ... R1, 0.0; ... R2, 0.0; ... 0.0, R2; ... 0.0, R1 ]; [ p, t ] = distmesh_2d ( fd, fh, h, box, iteration_max, fixed ); post_2d ( p, t, fh ) % % Write a PostScript image of the triangulation. % [ node_num, junk ] = size ( p ); [ tri_num, junk ] = size ( t ); p = p'; t = t'; node_show = 0; triangle_show = 1; triangulation_order3_plot ( 'p16_mesh.eps', node_num, p, tri_num, ... t, node_show, triangle_show ); % % Write a text file containing the nodes. % r8mat_write ( 'p16_nodes.txt', 2, node_num, p ); % % Write a text file containing the triangles. % i4mat_write ( 'p16_elements.txt', 3, tri_num, t ); return end