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annotate +noname/testCfl.m @ 1037:2d7ba44340d0 feature/burgers1d

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Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents 7f6f04bfc007
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 % noname.testCfl(discr, timestepper_method, T, alpha0, tol,threshold, silentFlag)
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2 % Example:
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3 % noname.testCfl(Discr(100,4), 'rk4', 1, [0, 1])
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4 function testCfl(discr, timestepper_method, T, alpha0, tol,threshold, silentFlag)
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5 default_arg('tol',0.00005);
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6 default_arg('threshold',1e2);
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7 default_arg('silentFlag', false);
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9 % TODO:
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10 % Set threshold from the initial conditions of the pde?
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11 % Take a set number of steps instead of evolving to a certain time?
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12 % Stop evolving when it has blown up?
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14 testAlpha = getAlphaTester(discr, T, threshold, silentFlag, timestepper_method);
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15
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16 % Make sure that the upper bound is not working
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17 ok = testAlpha(alpha0(2));
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18 if ok % Upper bound too large!
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19 error('The upper bound on alpha is stable!')
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20 end
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21
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22 % Make sure that the lower bound is ok
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23 if alpha0(1) ~= 0
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24 ok = testAlpha(alpha0(1));
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25 if ~ok
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26 error('The lower bound on alpha is unstable!');
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27 end
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28 end
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30 if silentFlag
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31 rsInterval = util.ReplaceableString('');
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32 end
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33
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34 % Use bisection to find sharp estimate
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35 while( (alpha0(2)-alpha0(1))/alpha0(1) > tol)
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36 alpha = mean(alpha0);
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37
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38 if ~silentFlag
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39 fprintf('[%.3e,%.3e]: ', alpha0(1), alpha0(2));
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40 else
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41 rsInterval.update('[%.3e,%.3e]: ', alpha0(1), alpha0(2));
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42 end
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43
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44 [ok, n_step, maxVal] = testAlpha(alpha);
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46 if ok
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47 alpha0(1) = alpha;
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48 stability = 'STABLE';
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49 else
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50 alpha0(2) = alpha;
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51 stability = 'UNSTABLE';
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52 end
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53
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54 if ~silentFlag
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55 fprintf('a = %.3e, n_step=%d %8s max = %.2e\n', alpha, n_step, stability, maxVal);
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56 end
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57 end
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58
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59 if silentFlag
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60 rsInterval = util.ReplaceableString('');
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61 end
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63 fprintf('T = %-3d dof = %-4d order = %d: clf = %.4e\n',T, discr.size(), discr.order, alpha0(1));
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65 end
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67 function f = getAlphaTester(discr, T, threshold, silentFlag, timestepper_method)
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69 % Returns true if cfl was ok
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70 function [ok, n_step, maxVal] = testAlpha(alpha)
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71 ts = discr.getTimestepper(struct('method', timestepper_method, 'cfl', alpha));
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73 warning('off','all')
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74 ts.evolve(T,true);
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75 warning('on','all')
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77 [v,t] = ts.getV();
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78 maxVal = max(v);
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79
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80 if isnan(maxVal) || maxVal == Inf || abs(maxVal) > threshold
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81 ok = false;
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82 else
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83 ok = true;
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84 end
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85
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86 n_step = ts.n;
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87 end
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88
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89 f = @testAlpha;
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90 end