20060412 134919.000 EXAMPLE04 A 2D example of the use of CLAWPACK. u_t + (u^2)_x + (u^4)_y = 0. We use piecewise constant initial data. We call CLAW2EZ to do the work. running... CLAW2EZ: Frame 0 matlab plot files done at time t = 0.0000E+00 CLAW2... Step 1 Courant number =20.000 dt = 0.1000E+00 t = 0.1000E+00 CLAW2 rejecting step... Courant number too large CLAW2... Step 1 Courant number = 0.900 dt = 0.4500E-02 t = 0.4500E-02 CLAW2... Step 2 Courant number = 0.900 dt = 0.4500E-02 t = 0.9000E-02 CLAW2... Step 3 Courant number = 0.900 dt = 0.4500E-02 t = 0.1350E-01 CLAW2... Step 4 Courant number = 0.900 dt = 0.4500E-02 t = 0.1800E-01 CLAW2... Step 5 Courant number = 0.900 dt = 0.4500E-02 t = 0.2250E-01 CLAW2... Step 6 Courant number = 0.900 dt = 0.4500E-02 t = 0.2700E-01 CLAW2... Step 7 Courant number = 0.900 dt = 0.4500E-02 t = 0.3150E-01 CLAW2... Step 8 Courant number = 0.900 dt = 0.4498E-02 t = 0.3600E-01 CLAW2... Step 9 Courant number = 0.900 dt = 0.4500E-02 t = 0.4050E-01 CLAW2... Step 10 Courant number = 0.900 dt = 0.4500E-02 t = 0.4500E-01 CLAW2... Step 11 Courant number = 0.900 dt = 0.4500E-02 t = 0.4950E-01 CLAW2... Step 12 Courant number = 0.900 dt = 0.4498E-02 t = 0.5400E-01 CLAW2... Step 13 Courant number = 0.900 dt = 0.4500E-02 t = 0.5850E-01 CLAW2... Step 14 Courant number = 0.900 dt = 0.4500E-02 t = 0.6300E-01 CLAW2... Step 15 Courant number = 0.907 dt = 0.4500E-02 t = 0.6750E-01 CLAW2... Step 16 Courant number = 0.893 dt = 0.4466E-02 t = 0.7196E-01 CLAW2... Step 17 Courant number = 0.900 dt = 0.4499E-02 t = 0.7646E-01 CLAW2... Step 18 Courant number = 0.900 dt = 0.4500E-02 t = 0.8096E-01 CLAW2... Step 19 Courant number = 0.912 dt = 0.4500E-02 t = 0.8546E-01 CLAW2... Step 20 Courant number = 0.888 dt = 0.4438E-02 t = 0.8990E-01 CLAW2... Step 21 Courant number = 0.900 dt = 0.4498E-02 t = 0.9440E-01 CLAW2... Step 22 Courant number = 0.900 dt = 0.4500E-02 t = 0.9890E-01 CLAW2... Step 23 Courant number = 0.221 dt = 0.1102E-02 t = 0.1000E+00 CLAW2EZ: Frame 1 matlab plot files done at time t = 0.1000E+00 CLAW2... Step 1 Courant number = 0.900 dt = 0.4495E-02 t = 0.1045E+00 CLAW2... Step 2 Courant number = 0.902 dt = 0.4496E-02 t = 0.1090E+00 CLAW2... Step 3 Courant number = 0.898 dt = 0.4488E-02 t = 0.1135E+00 CLAW2... Step 4 Courant number = 0.901 dt = 0.4500E-02 t = 0.1180E+00 CLAW2... Step 5 Courant number = 0.899 dt = 0.4495E-02 t = 0.1225E+00 CLAW2... Step 6 Courant number = 0.909 dt = 0.4498E-02 t = 0.1270E+00 CLAW2... Step 7 Courant number = 0.891 dt = 0.4454E-02 t = 0.1314E+00 CLAW2... Step 8 Courant number = 0.911 dt = 0.4498E-02 t = 0.1359E+00 CLAW2... Step 9 Courant number = 0.893 dt = 0.4442E-02 t = 0.1404E+00 CLAW2... Step 10 Courant number = 0.908 dt = 0.4475E-02 t = 0.1448E+00 CLAW2... Step 11 Courant number = 0.885 dt = 0.4435E-02 t = 0.1493E+00 CLAW2... Step 12 Courant number = 0.900 dt = 0.4512E-02 t = 0.1538E+00 CLAW2... Step 13 Courant number = 0.905 dt = 0.4512E-02 t = 0.1583E+00 CLAW2... Step 14 Courant number = 0.877 dt = 0.4486E-02 t = 0.1628E+00 CLAW2... Step 15 Courant number = 0.884 dt = 0.4606E-02 t = 0.1674E+00 CLAW2... Step 16 Courant number = 0.902 dt = 0.4689E-02 t = 0.1721E+00 CLAW2... Step 17 Courant number = 0.895 dt = 0.4681E-02 t = 0.1768E+00 CLAW2... Step 18 Courant number = 0.866 dt = 0.4709E-02 t = 0.1815E+00 CLAW2... Step 19 Courant number = 0.889 dt = 0.4894E-02 t = 0.1864E+00 CLAW2... Step 20 Courant number = 0.893 dt = 0.4956E-02 t = 0.1913E+00 CLAW2... Step 21 Courant number = 0.886 dt = 0.4994E-02 t = 0.1963E+00 CLAW2... Step 22 Courant number = 0.633 dt = 0.3687E-02 t = 0.2000E+00 CLAW2EZ: Frame 2 matlab plot files done at time t = 0.2000E+00 CLAW2... Step 1 Courant number = 0.885 dt = 0.5241E-02 t = 0.2052E+00 CLAW2... Step 2 Courant number = 0.898 dt = 0.5330E-02 t = 0.2106E+00 CLAW2... Step 3 Courant number = 0.885 dt = 0.5339E-02 t = 0.2159E+00 CLAW2... Step 4 Courant number = 0.883 dt = 0.5429E-02 t = 0.2213E+00 CLAW2... Step 5 Courant number = 0.872 dt = 0.5532E-02 t = 0.2269E+00 CLAW2... Step 6 Courant number = 0.901 dt = 0.5709E-02 t = 0.2326E+00 CLAW2... Step 7 Courant number = 0.884 dt = 0.5703E-02 t = 0.2383E+00 CLAW2... Step 8 Courant number = 0.884 dt = 0.5808E-02 t = 0.2441E+00 CLAW2... Step 9 Courant number = 0.876 dt = 0.5910E-02 t = 0.2500E+00 CLAW2... Step 10 Courant number = 0.899 dt = 0.6075E-02 t = 0.2561E+00 CLAW2... Step 11 Courant number = 0.881 dt = 0.6084E-02 t = 0.2622E+00 CLAW2... Step 12 Courant number = 0.884 dt = 0.6213E-02 t = 0.2684E+00 CLAW2... Step 13 Courant number = 0.889 dt = 0.6328E-02 t = 0.2747E+00 CLAW2... Step 14 Courant number = 0.890 dt = 0.6409E-02 t = 0.2811E+00 CLAW2... Step 15 Courant number = 0.879 dt = 0.6484E-02 t = 0.2876E+00 CLAW2... Step 16 Courant number = 0.880 dt = 0.6639E-02 t = 0.2942E+00 CLAW2... Step 17 Courant number = 0.764 dt = 0.5767E-02 t = 0.3000E+00 CLAW2EZ: Frame 3 matlab plot files done at time t = 0.3000E+00 CLAW2... Step 1 Courant number = 0.881 dt = 0.6797E-02 t = 0.3068E+00 CLAW2... Step 2 Courant number = 0.887 dt = 0.6942E-02 t = 0.3137E+00 CLAW2... Step 3 Courant number = 0.879 dt = 0.7042E-02 t = 0.3208E+00 CLAW2... Step 4 Courant number = 0.896 dt = 0.7207E-02 t = 0.3280E+00 CLAW2... Step 5 Courant number = 0.893 dt = 0.7242E-02 t = 0.3352E+00 CLAW2... Step 6 Courant number = 0.896 dt = 0.7303E-02 t = 0.3425E+00 CLAW2... Step 7 Courant number = 0.862 dt = 0.7338E-02 t = 0.3499E+00 CLAW2... Step 8 Courant number = 0.881 dt = 0.7664E-02 t = 0.3575E+00 CLAW2... Step 9 Courant number = 0.911 dt = 0.7826E-02 t = 0.3654E+00 CLAW2... Step 10 Courant number = 0.889 dt = 0.7733E-02 t = 0.3731E+00 CLAW2... Step 11 Courant number = 0.889 dt = 0.7831E-02 t = 0.3809E+00 CLAW2... Step 12 Courant number = 0.859 dt = 0.7925E-02 t = 0.3888E+00 CLAW2... Step 13 Courant number = 0.907 dt = 0.8305E-02 t = 0.3972E+00 CLAW2... Step 14 Courant number = 0.305 dt = 0.2846E-02 t = 0.4000E+00 CLAW2EZ: Frame 4 matlab plot files done at time t = 0.4000E+00 CLAW2... Step 1 Courant number = 0.889 dt = 0.8394E-02 t = 0.4084E+00 CLAW2... Step 2 Courant number = 0.880 dt = 0.8496E-02 t = 0.4169E+00 CLAW2... Step 3 Courant number = 0.899 dt = 0.8686E-02 t = 0.4256E+00 CLAW2... Step 4 Courant number = 0.894 dt = 0.8693E-02 t = 0.4343E+00 CLAW2... Step 5 Courant number = 0.884 dt = 0.8754E-02 t = 0.4430E+00 CLAW2... Step 6 Courant number = 0.895 dt = 0.8910E-02 t = 0.4519E+00 CLAW2... Step 7 Courant number = 0.859 dt = 0.8955E-02 t = 0.4609E+00 CLAW2... Step 8 Courant number = 0.907 dt = 0.9387E-02 t = 0.4703E+00 CLAW2... Step 9 Courant number = 0.888 dt = 0.9313E-02 t = 0.4796E+00 CLAW2... Step 10 Courant number = 0.882 dt = 0.9436E-02 t = 0.4890E+00 CLAW2... Step 11 Courant number = 0.883 dt = 0.9625E-02 t = 0.4986E+00 CLAW2... Step 12 Courant number = 0.121 dt = 0.1351E-02 t = 0.5000E+00 CLAW2EZ: Frame 5 matlab plot files done at time t = 0.5000E+00 CLAW2... Step 1 Courant number = 0.899 dt = 0.1001E-01 t = 0.5100E+00 CLAW2... Step 2 Courant number = 0.881 dt = 0.1002E-01 t = 0.5200E+00 CLAW2... Step 3 Courant number = 0.883 dt = 0.1024E-01 t = 0.5303E+00 CLAW2... Step 4 Courant number = 0.883 dt = 0.1044E-01 t = 0.5407E+00 CLAW2... Step 5 Courant number = 0.883 dt = 0.1064E-01 t = 0.5513E+00 CLAW2... Step 6 Courant number = 0.882 dt = 0.1085E-01 t = 0.5622E+00 CLAW2... Step 7 Courant number = 0.882 dt = 0.1107E-01 t = 0.5733E+00 CLAW2... Step 8 Courant number = 0.882 dt = 0.1129E-01 t = 0.5846E+00 CLAW2... Step 9 Courant number = 0.881 dt = 0.1152E-01 t = 0.5961E+00 CLAW2... Step 10 Courant number = 0.294 dt = 0.3928E-02 t = 0.6000E+00 CLAW2EZ: Frame 6 matlab plot files done at time t = 0.6000E+00 CLAW2... Step 1 Courant number = 0.895 dt = 0.1204E-01 t = 0.6120E+00 CLAW2... Step 2 Courant number = 0.875 dt = 0.1211E-01 t = 0.6241E+00 CLAW2... Step 3 Courant number = 0.879 dt = 0.1246E-01 t = 0.6366E+00 CLAW2... Step 4 Courant number = 0.889 dt = 0.1277E-01 t = 0.6494E+00 CLAW2... Step 5 Courant number = 0.888 dt = 0.1292E-01 t = 0.6623E+00 CLAW2... Step 6 Courant number = 0.886 dt = 0.1310E-01 t = 0.6754E+00 CLAW2... Step 7 Courant number = 0.884 dt = 0.1331E-01 t = 0.6887E+00 CLAW2... Step 8 Courant number = 0.737 dt = 0.1130E-01 t = 0.7000E+00 CLAW2EZ: Frame 7 matlab plot files done at time t = 0.7000E+00 CLAW2... Step 1 Courant number = 0.887 dt = 0.1380E-01 t = 0.7138E+00 CLAW2... Step 2 Courant number = 0.882 dt = 0.1401E-01 t = 0.7278E+00 CLAW2... Step 3 Courant number = 0.883 dt = 0.1430E-01 t = 0.7421E+00 CLAW2... Step 4 Courant number = 0.883 dt = 0.1457E-01 t = 0.7567E+00 CLAW2... Step 5 Courant number = 0.883 dt = 0.1486E-01 t = 0.7715E+00 CLAW2... Step 6 Courant number = 0.883 dt = 0.1515E-01 t = 0.7867E+00 CLAW2... Step 7 Courant number = 0.761 dt = 0.1332E-01 t = 0.8000E+00 CLAW2EZ: Frame 8 matlab plot files done at time t = 0.8000E+00 CLAW2... Step 1 Courant number = 0.886 dt = 0.1574E-01 t = 0.8157E+00 CLAW2... Step 2 Courant number = 0.882 dt = 0.1599E-01 t = 0.8317E+00 CLAW2... Step 3 Courant number = 0.883 dt = 0.1631E-01 t = 0.8480E+00 CLAW2... Step 4 Courant number = 0.883 dt = 0.1663E-01 t = 0.8647E+00 CLAW2... Step 5 Courant number = 0.883 dt = 0.1696E-01 t = 0.8816E+00 CLAW2... Step 6 Courant number = 0.883 dt = 0.1729E-01 t = 0.8989E+00 CLAW2... Step 7 Courant number = 0.054 dt = 0.1076E-02 t = 0.9000E+00 CLAW2EZ: Frame 9 matlab plot files done at time t = 0.9000E+00 CLAW2... Step 1 Courant number = 0.899 dt = 0.1797E-01 t = 0.9180E+00 CLAW2... Step 2 Courant number = 0.882 dt = 0.1798E-01 t = 0.9359E+00 CLAW2... Step 3 Courant number = 0.883 dt = 0.1835E-01 t = 0.9543E+00 CLAW2... Step 4 Courant number = 0.883 dt = 0.1870E-01 t = 0.9730E+00 CLAW2... Step 5 Courant number = 0.883 dt = 0.1907E-01 t = 0.9921E+00 CLAW2... Step 6 Courant number = 0.360 dt = 0.7930E-02 t = 0.1000E+01 CLAW2EZ: Frame 10 matlab plot files done at time t = 0.1000E+01 EXAMPLE04 Normal end of execution. 20060412 134921.000