Last change
on this file since 4 was
4,
checked in by zhangj, 10 years ago
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Initial import--MML version from SOLEIL@2013
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File size:
917 bytes
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1 | function pass = orrsommerfeld |
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2 | |
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3 | % Eigenvalues of the Orr-Sommerfeld operator |
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4 | |
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5 | tol = chebfunpref('eps'); |
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6 | |
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7 | d = domain(-1,1); |
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8 | R = 5772; |
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9 | D = diff(d); I = eye(d); |
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10 | x = chebfun('x',d); |
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11 | |
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12 | A = (D^4-2*D^2+I)/R - 2i*I - 1i*diag(1-x.^2)*(D^2-I); |
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13 | B = D^2-I; |
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14 | |
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15 | A.lbc(1) = I; A.lbc(2) = D; |
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16 | A.rbc(1) = I; A.rbc(2) = D; |
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17 | |
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18 | lam = eigs(A,B,10,'LR'); |
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19 | |
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20 | correct = [ |
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21 | -7.819078104994955e-005-2.615676705860811e-001i |
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22 | -4.620366193293003e-002-9.534328425761246e-001i |
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23 | -4.624279708795331e-002-9.534587499934722e-001i |
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24 | -5.767171976874375e-002-3.229637183677176e-001i |
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25 | -8.298700703740958e-002-9.161327256325181e-001i |
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26 | -8.308878603034946e-002-9.162146222226847e-001i |
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27 | -1.197442736203496e-001-8.787833344958154e-001i |
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28 | -1.199267702337461e-001-8.789590506048377e-001i |
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29 | -1.548324840901456e-001-4.044151548530878e-001i |
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30 | -1.564823130376978e-001-8.413737949305676e-001i |
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31 | ]; |
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32 | |
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33 | pass = norm( lam-correct, Inf) < 1e-7*(tol/eps); |
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34 | |
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