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annotate +noname/testCfl.m @ 1198:2924b3a9b921 feature/d2_compatible

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Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 7f6f04bfc007
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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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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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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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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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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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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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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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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86 n_step = ts.n;
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87 end
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89 f = @testAlpha;
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90 end