D03RA_P0W_F Example Program Results Example 1 Solution at every 4th grid point in level 1 at time 0.2400: x y approx u 0.0000E+00 0.000E+00 1.985E+00 1.0000E-01 0.000E+00 1.985E+00 2.0000E-01 0.000E+00 1.984E+00 3.0000E-01 0.000E+00 1.980E+00 4.0000E-01 0.000E+00 1.948E+00 5.0000E-01 0.000E+00 1.716E+00 6.0000E-01 0.000E+00 1.432E+00 7.0000E-01 0.000E+00 1.275E+00 8.0000E-01 0.000E+00 1.169E+00 9.0000E-01 0.000E+00 1.084E+00 1.0000E+00 0.000E+00 1.000E+00 7.5000E-02 2.500E-02 1.985E+00 1.7500E-01 2.500E-02 1.985E+00 2.7500E-01 2.500E-02 1.982E+00 3.7500E-01 2.500E-02 1.963E+00 4.7500E-01 2.500E-02 1.802E+00 5.7500E-01 2.500E-02 1.487E+00 6.7500E-01 2.500E-02 1.307E+00 7.7500E-01 2.500E-02 1.193E+00 8.7500E-01 2.500E-02 1.105E+00 9.7500E-01 2.500E-02 1.022E+00 5.0000E-02 5.000E-02 1.985E+00 1.5000E-01 5.000E-02 1.985E+00 2.5000E-01 5.000E-02 1.983E+00 3.5000E-01 5.000E-02 1.972E+00 4.5000E-01 5.000E-02 1.873E+00 5.5000E-01 5.000E-02 1.552E+00 6.5000E-01 5.000E-02 1.344E+00 7.5000E-01 5.000E-02 1.218E+00 8.5000E-01 5.000E-02 1.125E+00 9.5000E-01 5.000E-02 1.043E+00 2.5000E-02 7.500E-02 1.985E+00 1.2500E-01 7.500E-02 1.985E+00 2.2500E-01 7.500E-02 1.984E+00 3.2500E-01 7.500E-02 1.977E+00 4.2500E-01 7.500E-02 1.920E+00 5.2500E-01 7.500E-02 1.629E+00 6.2500E-01 7.500E-02 1.385E+00 7.2500E-01 7.500E-02 1.245E+00 8.2500E-01 7.500E-02 1.147E+00 9.2500E-01 7.500E-02 1.064E+00 0.0000E+00 1.000E-01 1.985E+00 1.0000E-01 1.000E-01 1.985E+00 2.0000E-01 1.000E-01 1.984E+00 3.0000E-01 1.000E-01 1.980E+00 4.0000E-01 1.000E-01 1.948E+00 5.0000E-01 1.000E-01 1.715E+00 6.0000E-01 1.000E-01 1.432E+00 7.0000E-01 1.000E-01 1.275E+00 8.0000E-01 1.000E-01 1.169E+00 9.0000E-01 1.000E-01 1.084E+00 1.0000E+00 1.000E-01 1.000E+00 7.5000E-02 1.250E-01 1.985E+00 1.7500E-01 1.250E-01 1.984E+00 2.7500E-01 1.250E-01 1.982E+00 3.7500E-01 1.250E-01 1.963E+00 4.7500E-01 1.250E-01 1.801E+00 5.7500E-01 1.250E-01 1.487E+00 6.7500E-01 1.250E-01 1.307E+00 7.7500E-01 1.250E-01 1.193E+00 8.7500E-01 1.250E-01 1.105E+00 9.7500E-01 1.250E-01 1.022E+00 5.0000E-02 1.500E-01 1.985E+00 1.5000E-01 1.500E-01 1.985E+00 2.5000E-01 1.500E-01 1.983E+00 3.5000E-01 1.500E-01 1.971E+00 4.5000E-01 1.500E-01 1.872E+00 5.5000E-01 1.500E-01 1.552E+00 6.5000E-01 1.500E-01 1.344E+00 7.5000E-01 1.500E-01 1.218E+00 8.5000E-01 1.500E-01 1.125E+00 9.5000E-01 1.500E-01 1.043E+00 2.5000E-02 1.750E-01 1.985E+00 1.2500E-01 1.750E-01 1.984E+00 2.2500E-01 1.750E-01 1.983E+00 3.2500E-01 1.750E-01 1.976E+00 4.2500E-01 1.750E-01 1.918E+00 5.2500E-01 1.750E-01 1.627E+00 6.2500E-01 1.750E-01 1.384E+00 7.2500E-01 1.750E-01 1.245E+00 8.2500E-01 1.750E-01 1.147E+00 9.2500E-01 1.750E-01 1.064E+00 0.0000E+00 2.000E-01 1.984E+00 1.0000E-01 2.000E-01 1.984E+00 2.0000E-01 2.000E-01 1.983E+00 3.0000E-01 2.000E-01 1.979E+00 4.0000E-01 2.000E-01 1.945E+00 5.0000E-01 2.000E-01 1.712E+00 6.0000E-01 2.000E-01 1.431E+00 7.0000E-01 2.000E-01 1.275E+00 8.0000E-01 2.000E-01 1.169E+00 9.0000E-01 2.000E-01 1.084E+00 1.0000E+00 2.000E-01 1.000E+00 7.5000E-02 2.250E-01 1.984E+00 1.7500E-01 2.250E-01 1.983E+00 2.7500E-01 2.250E-01 1.980E+00 3.7500E-01 2.250E-01 1.960E+00 4.7500E-01 2.250E-01 1.796E+00 5.7500E-01 2.250E-01 1.485E+00 6.7500E-01 2.250E-01 1.307E+00 7.7500E-01 2.250E-01 1.193E+00 8.7500E-01 2.250E-01 1.105E+00 9.7500E-01 2.250E-01 1.022E+00 5.0000E-02 2.500E-01 1.983E+00 1.5000E-01 2.500E-01 1.983E+00 2.5000E-01 2.500E-01 1.980E+00 3.5000E-01 2.500E-01 1.968E+00 4.5000E-01 2.500E-01 1.864E+00 5.5000E-01 2.500E-01 1.549E+00 6.5000E-01 2.500E-01 1.343E+00 7.5000E-01 2.500E-01 1.218E+00 8.5000E-01 2.500E-01 1.125E+00 9.5000E-01 2.500E-01 1.043E+00 2.5000E-02 2.750E-01 1.982E+00 1.2500E-01 2.750E-01 1.982E+00 2.2500E-01 2.750E-01 1.980E+00 3.2500E-01 2.750E-01 1.972E+00 4.2500E-01 2.750E-01 1.908E+00 5.2500E-01 2.750E-01 1.621E+00 6.2500E-01 2.750E-01 1.383E+00 7.2500E-01 2.750E-01 1.245E+00 8.2500E-01 2.750E-01 1.147E+00 9.2500E-01 2.750E-01 1.064E+00 0.0000E+00 3.000E-01 1.980E+00 1.0000E-01 3.000E-01 1.980E+00 2.0000E-01 3.000E-01 1.979E+00 3.0000E-01 3.000E-01 1.973E+00 4.0000E-01 3.000E-01 1.934E+00 5.0000E-01 3.000E-01 1.698E+00 6.0000E-01 3.000E-01 1.428E+00 7.0000E-01 3.000E-01 1.274E+00 8.0000E-01 3.000E-01 1.169E+00 9.0000E-01 3.000E-01 1.084E+00 1.0000E+00 3.000E-01 1.000E+00 7.5000E-02 3.250E-01 1.977E+00 1.7500E-01 3.250E-01 1.976E+00 2.7500E-01 3.250E-01 1.972E+00 3.7500E-01 3.250E-01 1.946E+00 4.7500E-01 3.250E-01 1.771E+00 5.7500E-01 3.250E-01 1.479E+00 6.7500E-01 3.250E-01 1.306E+00 7.7500E-01 3.250E-01 1.193E+00 8.7500E-01 3.250E-01 1.104E+00 9.7500E-01 3.250E-01 1.022E+00 5.0000E-02 3.500E-01 1.972E+00 1.5000E-01 3.500E-01 1.971E+00 2.5000E-01 3.500E-01 1.968E+00 3.5000E-01 3.500E-01 1.949E+00 4.5000E-01 3.500E-01 1.827E+00 5.5000E-01 3.500E-01 1.535E+00 6.5000E-01 3.500E-01 1.340E+00 7.5000E-01 3.500E-01 1.217E+00 8.5000E-01 3.500E-01 1.125E+00 9.5000E-01 3.500E-01 1.043E+00 2.5000E-02 3.750E-01 1.963E+00 1.2500E-01 3.750E-01 1.963E+00 2.2500E-01 3.750E-01 1.960E+00 3.2500E-01 3.750E-01 1.946E+00 4.2500E-01 3.750E-01 1.860E+00 5.2500E-01 3.750E-01 1.594E+00 6.2500E-01 3.750E-01 1.378E+00 7.2500E-01 3.750E-01 1.244E+00 8.2500E-01 3.750E-01 1.146E+00 9.2500E-01 3.750E-01 1.064E+00 0.0000E+00 4.000E-01 1.948E+00 1.0000E-01 4.000E-01 1.947E+00 2.0000E-01 4.000E-01 1.945E+00 3.0000E-01 4.000E-01 1.934E+00 4.0000E-01 4.000E-01 1.870E+00 5.0000E-01 4.000E-01 1.647E+00 6.0000E-01 4.000E-01 1.417E+00 7.0000E-01 4.000E-01 1.271E+00 8.0000E-01 4.000E-01 1.168E+00 9.0000E-01 4.000E-01 1.084E+00 1.0000E+00 4.000E-01 1.000E+00 7.5000E-02 4.250E-01 1.920E+00 1.7500E-01 4.250E-01 1.918E+00 2.7500E-01 4.250E-01 1.908E+00 3.7500E-01 4.250E-01 1.860E+00 4.7500E-01 4.250E-01 1.685E+00 5.7500E-01 4.250E-01 1.457E+00 6.7500E-01 4.250E-01 1.300E+00 7.7500E-01 4.250E-01 1.191E+00 8.7500E-01 4.250E-01 1.104E+00 9.7500E-01 4.250E-01 1.022E+00 5.0000E-02 4.500E-01 1.873E+00 1.5000E-01 4.500E-01 1.871E+00 2.5000E-01 4.500E-01 1.864E+00 3.5000E-01 4.500E-01 1.827E+00 4.5000E-01 4.500E-01 1.699E+00 5.5000E-01 4.500E-01 1.493E+00 6.5000E-01 4.500E-01 1.330E+00 7.5000E-01 4.500E-01 1.215E+00 8.5000E-01 4.500E-01 1.124E+00 9.5000E-01 4.500E-01 1.043E+00 2.5000E-02 4.750E-01 1.802E+00 1.2500E-01 4.750E-01 1.801E+00 2.2500E-01 4.750E-01 1.796E+00 3.2500E-01 4.750E-01 1.771E+00 4.2500E-01 4.750E-01 1.685E+00 5.2500E-01 4.750E-01 1.519E+00 6.2500E-01 4.750E-01 1.359E+00 7.2500E-01 4.750E-01 1.238E+00 8.2500E-01 4.750E-01 1.145E+00 9.2500E-01 4.750E-01 1.063E+00 0.0000E+00 5.000E-01 1.715E+00 1.0000E-01 5.000E-01 1.715E+00 2.0000E-01 5.000E-01 1.712E+00 3.0000E-01 5.000E-01 1.698E+00 4.0000E-01 5.000E-01 1.647E+00 5.0000E-01 5.000E-01 1.529E+00 6.0000E-01 5.000E-01 1.384E+00 7.0000E-01 5.000E-01 1.262E+00 8.0000E-01 5.000E-01 1.166E+00 9.0000E-01 5.000E-01 1.083E+00 1.0000E+00 5.000E-01 1.000E+00 7.5000E-02 5.250E-01 1.629E+00 1.7500E-01 5.250E-01 1.627E+00 2.7500E-01 5.250E-01 1.621E+00 3.7500E-01 5.250E-01 1.594E+00 4.7500E-01 5.250E-01 1.519E+00 5.7500E-01 5.250E-01 1.401E+00 6.7500E-01 5.250E-01 1.284E+00 7.7500E-01 5.250E-01 1.186E+00 8.7500E-01 5.250E-01 1.102E+00 9.7500E-01 5.250E-01 1.022E+00 5.0000E-02 5.500E-01 1.552E+00 1.5000E-01 5.500E-01 1.552E+00 2.5000E-01 5.500E-01 1.549E+00 3.5000E-01 5.500E-01 1.535E+00 4.5000E-01 5.500E-01 1.493E+00 5.5000E-01 5.500E-01 1.407E+00 6.5000E-01 5.500E-01 1.302E+00 7.5000E-01 5.500E-01 1.206E+00 8.5000E-01 5.500E-01 1.121E+00 9.5000E-01 5.500E-01 1.042E+00 2.5000E-02 5.750E-01 1.487E+00 1.2500E-01 5.750E-01 1.487E+00 2.2500E-01 5.750E-01 1.485E+00 3.2500E-01 5.750E-01 1.479E+00 4.2500E-01 5.750E-01 1.457E+00 5.2500E-01 5.750E-01 1.401E+00 6.2500E-01 5.750E-01 1.315E+00 7.2500E-01 5.750E-01 1.223E+00 8.2500E-01 5.750E-01 1.140E+00 9.2500E-01 5.750E-01 1.062E+00 0.0000E+00 6.000E-01 1.432E+00 1.0000E-01 6.000E-01 1.432E+00 2.0000E-01 6.000E-01 1.431E+00 3.0000E-01 6.000E-01 1.428E+00 4.0000E-01 6.000E-01 1.417E+00 5.0000E-01 6.000E-01 1.384E+00 6.0000E-01 6.000E-01 1.319E+00 7.0000E-01 6.000E-01 1.238E+00 8.0000E-01 6.000E-01 1.157E+00 9.0000E-01 6.000E-01 1.080E+00 1.0000E+00 6.000E-01 1.000E+00 7.5000E-02 6.250E-01 1.385E+00 1.7500E-01 6.250E-01 1.384E+00 2.7500E-01 6.250E-01 1.383E+00 3.7500E-01 6.250E-01 1.378E+00 4.7500E-01 6.250E-01 1.359E+00 5.7500E-01 6.250E-01 1.315E+00 6.7500E-01 6.250E-01 1.248E+00 7.7500E-01 6.250E-01 1.172E+00 8.7500E-01 6.250E-01 1.098E+00 9.7500E-01 6.250E-01 1.021E+00 5.0000E-02 6.500E-01 1.344E+00 1.5000E-01 6.500E-01 1.343E+00 2.5000E-01 6.500E-01 1.343E+00 3.5000E-01 6.500E-01 1.340E+00 4.5000E-01 6.500E-01 1.330E+00 5.5000E-01 6.500E-01 1.302E+00 6.5000E-01 6.500E-01 1.251E+00 7.5000E-01 6.500E-01 1.184E+00 8.5000E-01 6.500E-01 1.114E+00 9.5000E-01 6.500E-01 1.040E+00 2.5000E-02 6.750E-01 1.307E+00 1.2500E-01 6.750E-01 1.307E+00 2.2500E-01 6.750E-01 1.307E+00 3.2500E-01 6.750E-01 1.306E+00 4.2500E-01 6.750E-01 1.300E+00 5.2500E-01 6.750E-01 1.284E+00 6.2500E-01 6.750E-01 1.248E+00 7.2500E-01 6.750E-01 1.192E+00 8.2500E-01 6.750E-01 1.127E+00 9.2500E-01 6.750E-01 1.058E+00 0.0000E+00 7.000E-01 1.275E+00 1.0000E-01 7.000E-01 1.275E+00 2.0000E-01 7.000E-01 1.275E+00 3.0000E-01 7.000E-01 1.274E+00 4.0000E-01 7.000E-01 1.271E+00 5.0000E-01 7.000E-01 1.262E+00 6.0000E-01 7.000E-01 1.238E+00 7.0000E-01 7.000E-01 1.195E+00 8.0000E-01 7.000E-01 1.138E+00 9.0000E-01 7.000E-01 1.074E+00 1.0000E+00 7.000E-01 1.000E+00 7.5000E-02 7.250E-01 1.245E+00 1.7500E-01 7.250E-01 1.245E+00 2.7500E-01 7.250E-01 1.245E+00 3.7500E-01 7.250E-01 1.244E+00 4.7500E-01 7.250E-01 1.238E+00 5.7500E-01 7.250E-01 1.223E+00 6.7500E-01 7.250E-01 1.192E+00 7.7500E-01 7.250E-01 1.145E+00 8.7500E-01 7.250E-01 1.087E+00 9.7500E-01 7.250E-01 1.019E+00 5.0000E-02 7.500E-01 1.218E+00 1.5000E-01 7.500E-01 1.218E+00 2.5000E-01 7.500E-01 1.218E+00 3.5000E-01 7.500E-01 1.217E+00 4.5000E-01 7.500E-01 1.215E+00 5.5000E-01 7.500E-01 1.206E+00 6.5000E-01 7.500E-01 1.184E+00 7.5000E-01 7.500E-01 1.147E+00 8.5000E-01 7.500E-01 1.097E+00 9.5000E-01 7.500E-01 1.036E+00 2.5000E-02 7.750E-01 1.193E+00 1.2500E-01 7.750E-01 1.193E+00 2.2500E-01 7.750E-01 1.193E+00 3.2500E-01 7.750E-01 1.193E+00 4.2500E-01 7.750E-01 1.191E+00 5.2500E-01 7.750E-01 1.186E+00 6.2500E-01 7.750E-01 1.172E+00 7.2500E-01 7.750E-01 1.145E+00 8.2500E-01 7.750E-01 1.103E+00 9.2500E-01 7.750E-01 1.050E+00 0.0000E+00 8.000E-01 1.169E+00 1.0000E-01 8.000E-01 1.169E+00 2.0000E-01 8.000E-01 1.169E+00 3.0000E-01 8.000E-01 1.169E+00 4.0000E-01 8.000E-01 1.168E+00 5.0000E-01 8.000E-01 1.166E+00 6.0000E-01 8.000E-01 1.157E+00 7.0000E-01 8.000E-01 1.138E+00 8.0000E-01 8.000E-01 1.106E+00 9.0000E-01 8.000E-01 1.060E+00 1.0000E+00 8.000E-01 1.000E+00 7.5000E-02 8.250E-01 1.147E+00 1.7500E-01 8.250E-01 1.147E+00 2.7500E-01 8.250E-01 1.147E+00 3.7500E-01 8.250E-01 1.146E+00 4.7500E-01 8.250E-01 1.145E+00 5.7500E-01 8.250E-01 1.140E+00 6.7500E-01 8.250E-01 1.127E+00 7.7500E-01 8.250E-01 1.103E+00 8.7500E-01 8.250E-01 1.067E+00 9.7500E-01 8.250E-01 1.016E+00 5.0000E-02 8.500E-01 1.125E+00 1.5000E-01 8.500E-01 1.125E+00 2.5000E-01 8.500E-01 1.125E+00 3.5000E-01 8.500E-01 1.125E+00 4.5000E-01 8.500E-01 1.124E+00 5.5000E-01 8.500E-01 1.121E+00 6.5000E-01 8.500E-01 1.114E+00 7.5000E-01 8.500E-01 1.097E+00 8.5000E-01 8.500E-01 1.069E+00 9.5000E-01 8.500E-01 1.027E+00 2.5000E-02 8.750E-01 1.105E+00 1.2500E-01 8.750E-01 1.105E+00 2.2500E-01 8.750E-01 1.105E+00 3.2500E-01 8.750E-01 1.104E+00 4.2500E-01 8.750E-01 1.104E+00 5.2500E-01 8.750E-01 1.102E+00 6.2500E-01 8.750E-01 1.098E+00 7.2500E-01 8.750E-01 1.087E+00 8.2500E-01 8.750E-01 1.067E+00 9.2500E-01 8.750E-01 1.034E+00 0.0000E+00 9.000E-01 1.084E+00 1.0000E-01 9.000E-01 1.084E+00 2.0000E-01 9.000E-01 1.084E+00 3.0000E-01 9.000E-01 1.084E+00 4.0000E-01 9.000E-01 1.084E+00 5.0000E-01 9.000E-01 1.083E+00 6.0000E-01 9.000E-01 1.080E+00 7.0000E-01 9.000E-01 1.074E+00 8.0000E-01 9.000E-01 1.060E+00 9.0000E-01 9.000E-01 1.037E+00 1.0000E+00 9.000E-01 1.000E+00 7.5000E-02 9.250E-01 1.064E+00 1.7500E-01 9.250E-01 1.064E+00 2.7500E-01 9.250E-01 1.064E+00 3.7500E-01 9.250E-01 1.064E+00 4.7500E-01 9.250E-01 1.063E+00 5.7500E-01 9.250E-01 1.062E+00 6.7500E-01 9.250E-01 1.058E+00 7.7500E-01 9.250E-01 1.050E+00 8.7500E-01 9.250E-01 1.034E+00 9.7500E-01 9.250E-01 1.009E+00 5.0000E-02 9.500E-01 1.043E+00 1.5000E-01 9.500E-01 1.043E+00 2.5000E-01 9.500E-01 1.043E+00 3.5000E-01 9.500E-01 1.043E+00 4.5000E-01 9.500E-01 1.043E+00 5.5000E-01 9.500E-01 1.042E+00 6.5000E-01 9.500E-01 1.040E+00 7.5000E-01 9.500E-01 1.036E+00 8.5000E-01 9.500E-01 1.027E+00 9.5000E-01 9.500E-01 1.012E+00 2.5000E-02 9.750E-01 1.022E+00 1.2500E-01 9.750E-01 1.022E+00 2.2500E-01 9.750E-01 1.022E+00 3.2500E-01 9.750E-01 1.022E+00 4.2500E-01 9.750E-01 1.022E+00 5.2500E-01 9.750E-01 1.022E+00 6.2500E-01 9.750E-01 1.021E+00 7.2500E-01 9.750E-01 1.019E+00 8.2500E-01 9.750E-01 1.016E+00 9.2500E-01 9.750E-01 1.009E+00 0.0000E+00 1.000E+00 1.000E+00 1.0000E-01 1.000E+00 1.000E+00 2.0000E-01 1.000E+00 1.000E+00 3.0000E-01 1.000E+00 1.000E+00 4.0000E-01 1.000E+00 1.000E+00 5.0000E-01 1.000E+00 1.000E+00 6.0000E-01 1.000E+00 1.000E+00 7.0000E-01 1.000E+00 1.000E+00 8.0000E-01 1.000E+00 1.000E+00 9.0000E-01 1.000E+00 1.000E+00 1.0000E+00 1.000E+00 1.000E+00 Statistics: Time = 0.2400 Total number of accepted timesteps = 77 Total number of rejected timesteps = 0 Total number (rounded) of Residual Jacobian Newton Lin sys evals evals iters iters At level 1 600 80 200 200 Maximum number of Newton iters Lin sys iters At level 1 2 3