id sid tid token lemma pos 02870v8512d 1 1 the the DET 02870v8512d 1 2 coherent coherent ADJ 02870v8512d 1 3 structure structure NOUN 02870v8512d 1 4 in in ADP 02870v8512d 1 5 the the DET 02870v8512d 1 6 near near ADJ 02870v8512d 1 7 - - PUNCT 02870v8512d 1 8 field field NOUN 02870v8512d 1 9 of of ADP 02870v8512d 1 10 an an DET 02870v8512d 1 11 axisymmetric axisymmetric ADJ 02870v8512d 1 12 turbulent turbulent ADJ 02870v8512d 1 13 jet jet NOUN 02870v8512d 1 14 at at ADP 02870v8512d 1 15 a a DET 02870v8512d 1 16 reynolds reynold NOUN 02870v8512d 1 17 number number NOUN 02870v8512d 1 18 of of ADP 02870v8512d 1 19 380,000 380,000 NUM 02870v8512d 1 20 and and CCONJ 02870v8512d 1 21 mach mach NOUN 02870v8512d 1 22 number number NOUN 02870v8512d 1 23 of of ADP 02870v8512d 1 24 0.3 0.3 NUM 02870v8512d 1 25 is be AUX 02870v8512d 1 26 experimentally experimentally ADV 02870v8512d 1 27 characterized characterize VERB 02870v8512d 1 28 by by ADP 02870v8512d 1 29 a a DET 02870v8512d 1 30 vector vector NOUN 02870v8512d 1 31 implementation implementation NOUN 02870v8512d 1 32 of of ADP 02870v8512d 1 33 the the DET 02870v8512d 1 34 proper proper ADJ 02870v8512d 1 35 orthogonal orthogonal ADJ 02870v8512d 1 36 decomposition decomposition NOUN 02870v8512d 1 37 ( ( PUNCT 02870v8512d 1 38 pod pod PROPN 02870v8512d 1 39 ) ) PUNCT 02870v8512d 1 40 . . PUNCT 02870v8512d 2 1 the the DET 02870v8512d 2 2 pod pod NOUN 02870v8512d 2 3 eigenfunctions eigenfunction NOUN 02870v8512d 2 4 and and CCONJ 02870v8512d 2 5 associated associated ADJ 02870v8512d 2 6 eigenvalues eigenvalue NOUN 02870v8512d 2 7 are be AUX 02870v8512d 2 8 extracted extract VERB 02870v8512d 2 9 at at ADP 02870v8512d 2 10 several several ADJ 02870v8512d 2 11 selected select VERB 02870v8512d 2 12 streamwise streamwise NOUN 02870v8512d 2 13 locations location NOUN 02870v8512d 2 14 in in ADP 02870v8512d 2 15 the the DET 02870v8512d 2 16 initial initial ADJ 02870v8512d 2 17 region region NOUN 02870v8512d 2 18 . . PUNCT 02870v8512d 3 1 the the DET 02870v8512d 3 2 focus focus NOUN 02870v8512d 3 3 on on ADP 02870v8512d 3 4 the the DET 02870v8512d 3 5 near near ADJ 02870v8512d 3 6 - - PUNCT 02870v8512d 3 7 field field NOUN 02870v8512d 3 8 is be AUX 02870v8512d 3 9 motivated motivate VERB 02870v8512d 3 10 by by ADP 02870v8512d 3 11 its its PRON 02870v8512d 3 12 importance importance NOUN 02870v8512d 3 13 in in ADP 02870v8512d 3 14 numerous numerous ADJ 02870v8512d 3 15 technical technical ADJ 02870v8512d 3 16 applications application NOUN 02870v8512d 3 17 . . PUNCT 02870v8512d 4 1 results result NOUN 02870v8512d 4 2 show show VERB 02870v8512d 4 3 a a DET 02870v8512d 4 4 rapid rapid ADJ 02870v8512d 4 5 energy energy NOUN 02870v8512d 4 6 convergence convergence NOUN 02870v8512d 4 7 with with ADP 02870v8512d 4 8 pod pod ADJ 02870v8512d 4 9 mode mode NOUN 02870v8512d 4 10 number number NOUN 02870v8512d 4 11 . . PUNCT 02870v8512d 5 1 examination examination NOUN 02870v8512d 5 2 of of ADP 02870v8512d 5 3 the the DET 02870v8512d 5 4 relative relative ADJ 02870v8512d 5 5 energy energy NOUN 02870v8512d 5 6 contained contain VERB 02870v8512d 5 7 in in ADP 02870v8512d 5 8 the the DET 02870v8512d 5 9 combined combine VERB 02870v8512d 5 10 azimuthal azimuthal NOUN 02870v8512d 5 11 and and CCONJ 02870v8512d 5 12 radial radial ADJ 02870v8512d 5 13 components component NOUN 02870v8512d 5 14 of of ADP 02870v8512d 5 15 the the DET 02870v8512d 5 16 pod pod NOUN 02870v8512d 5 17 modes mode NOUN 02870v8512d 5 18 reveals reveal VERB 02870v8512d 5 19 that that SCONJ 02870v8512d 5 20 it it PRON 02870v8512d 5 21 is be AUX 02870v8512d 5 22 comparable comparable ADJ 02870v8512d 5 23 to to ADP 02870v8512d 5 24 that that PRON 02870v8512d 5 25 in in ADP 02870v8512d 5 26 the the DET 02870v8512d 5 27 streamwise streamwise NOUN 02870v8512d 5 28 component component NOUN 02870v8512d 5 29 . . PUNCT 02870v8512d 6 1 the the DET 02870v8512d 6 2 streamwise streamwise NOUN 02870v8512d 6 3 evolution evolution NOUN 02870v8512d 6 4 of of ADP 02870v8512d 6 5 the the DET 02870v8512d 6 6 eigenvalue eigenvalue NOUN 02870v8512d 6 7 spectra spectra NOUN 02870v8512d 6 8 is be AUX 02870v8512d 6 9 characterized characterize VERB 02870v8512d 6 10 by by ADP 02870v8512d 6 11 a a DET 02870v8512d 6 12 remarkable remarkable ADJ 02870v8512d 6 13 variation variation NOUN 02870v8512d 6 14 in in ADP 02870v8512d 6 15 the the DET 02870v8512d 6 16 azimuthal azimuthal ADJ 02870v8512d 6 17 mode mode NOUN 02870v8512d 6 18 number number NOUN 02870v8512d 6 19 energy energy NOUN 02870v8512d 6 20 distribution distribution NOUN 02870v8512d 6 21 leading lead VERB 02870v8512d 6 22 to to ADP 02870v8512d 6 23 the the DET 02870v8512d 6 24 dominance dominance NOUN 02870v8512d 6 25 of of ADP 02870v8512d 6 26 azimuthal azimuthal ADJ 02870v8512d 6 27 mode mode NOUN 02870v8512d 6 28 m m VERB 02870v8512d 6 29 = = NOUN 02870v8512d 6 30 1 1 NUM 02870v8512d 6 31 beyond beyond ADP 02870v8512d 6 32 the the DET 02870v8512d 6 33 end end NOUN 02870v8512d 6 34 of of ADP 02870v8512d 6 35 the the DET 02870v8512d 6 36 jet jet NOUN 02870v8512d 6 37 core core NOUN 02870v8512d 6 38 . . PUNCT 02870v8512d 7 1 in in ADP 02870v8512d 7 2 contrast contrast NOUN 02870v8512d 7 3 , , PUNCT 02870v8512d 7 4 a a DET 02870v8512d 7 5 scalar scalar ADJ 02870v8512d 7 6 implementation implementation NOUN 02870v8512d 7 7 using use VERB 02870v8512d 7 8 only only ADV 02870v8512d 7 9 the the DET 02870v8512d 7 10 streamwise streamwise NOUN 02870v8512d 7 11 component component NOUN 02870v8512d 7 12 shows show VERB 02870v8512d 7 13 the the DET 02870v8512d 7 14 dominance dominance NOUN 02870v8512d 7 15 of of ADP 02870v8512d 7 16 mode mode NOUN 02870v8512d 7 17 m m PROPN 02870v8512d 7 18 = = SYM 02870v8512d 7 19 2 2 NUM 02870v8512d 7 20 which which PRON 02870v8512d 7 21 is be AUX 02870v8512d 7 22 consistent consistent ADJ 02870v8512d 7 23 with with ADP 02870v8512d 7 24 previous previous ADJ 02870v8512d 7 25 scalar scalar ADJ 02870v8512d 7 26 implementations implementation NOUN 02870v8512d 7 27 of of ADP 02870v8512d 7 28 the the DET 02870v8512d 7 29 pod pod PROPN 02870v8512d 7 30 . . PUNCT 02870v8512d 8 1 for for ADP 02870v8512d 8 2 a a DET 02870v8512d 8 3 given give VERB 02870v8512d 8 4 azimuthal azimuthal NOUN 02870v8512d 8 5 mode mode NOUN 02870v8512d 8 6 number number NOUN 02870v8512d 8 7 , , PUNCT 02870v8512d 8 8 the the DET 02870v8512d 8 9 eigenvalue eigenvalue NOUN 02870v8512d 8 10 spectra spectra NOUN 02870v8512d 8 11 exhibit exhibit VERB 02870v8512d 8 12 a a DET 02870v8512d 8 13 broad broad ADJ 02870v8512d 8 14 spectral spectral ADJ 02870v8512d 8 15 peak peak NOUN 02870v8512d 8 16 which which PRON 02870v8512d 8 17 occurs occur VERB 02870v8512d 8 18 at at ADP 02870v8512d 8 19 a a DET 02870v8512d 8 20 constant constant ADJ 02870v8512d 8 21 value value NOUN 02870v8512d 8 22 of of ADP 02870v8512d 8 23 strouhal strouhal ADJ 02870v8512d 8 24 number number NOUN 02870v8512d 8 25 based base VERB 02870v8512d 8 26 on on ADP 02870v8512d 8 27 local local ADJ 02870v8512d 8 28 shear shear ADJ 02870v8512d 8 29 layer layer NOUN 02870v8512d 8 30 momentum momentum NOUN 02870v8512d 8 31 thickness thickness NOUN 02870v8512d 8 32 and and CCONJ 02870v8512d 8 33 jet jet NOUN 02870v8512d 8 34 velocity velocity NOUN 02870v8512d 8 35 . . PUNCT 02870v8512d 9 1 the the DET 02870v8512d 9 2 phase phase NOUN 02870v8512d 9 3 information information NOUN 02870v8512d 9 4 required require VERB 02870v8512d 9 5 for for ADP 02870v8512d 9 6 a a DET 02870v8512d 9 7 local local ADJ 02870v8512d 9 8 reconstruction reconstruction NOUN 02870v8512d 9 9 of of ADP 02870v8512d 9 10 the the DET 02870v8512d 9 11 jet jet NOUN 02870v8512d 9 12 structure structure NOUN 02870v8512d 9 13 is be AUX 02870v8512d 9 14 obtained obtain VERB 02870v8512d 9 15 by by ADP 02870v8512d 9 16 projecting project VERB 02870v8512d 9 17 the the DET 02870v8512d 9 18 pod pod NOUN 02870v8512d 9 19 eigenmodes eigenmode NOUN 02870v8512d 9 20 onto onto ADP 02870v8512d 9 21 instantaneous instantaneous ADJ 02870v8512d 9 22 realizations realization NOUN 02870v8512d 9 23 of of ADP 02870v8512d 9 24 the the DET 02870v8512d 9 25 flow flow NOUN 02870v8512d 9 26 at at ADP 02870v8512d 9 27 fixed fix VERB 02870v8512d 9 28 streamwise streamwise NOUN 02870v8512d 9 29 locations location NOUN 02870v8512d 9 30 . . PUNCT 02870v8512d 10 1 the the DET 02870v8512d 10 2 instantaneous instantaneous ADJ 02870v8512d 10 3 realizations realization NOUN 02870v8512d 10 4 are be AUX 02870v8512d 10 5 obtained obtain VERB 02870v8512d 10 6 by by ADP 02870v8512d 10 7 utilizing utilize VERB 02870v8512d 10 8 cross cross ADJ 02870v8512d 10 9 - - ADJ 02870v8512d 10 10 stream stream ADJ 02870v8512d 10 11 arrays array NOUN 02870v8512d 10 12 of of ADP 02870v8512d 10 13 multi multi ADJ 02870v8512d 10 14 - - ADJ 02870v8512d 10 15 sensor sensor ADJ 02870v8512d 10 16 probes probe NOUN 02870v8512d 10 17 in in ADP 02870v8512d 10 18 conjunction conjunction NOUN 02870v8512d 10 19 with with ADP 02870v8512d 10 20 linear linear PROPN 02870v8512d 10 21 stochastic stochastic ADJ 02870v8512d 10 22 estimation estimation NOUN 02870v8512d 10 23 ( ( PUNCT 02870v8512d 10 24 lse lse PROPN 02870v8512d 10 25 ) ) PUNCT 02870v8512d 10 26 . . PUNCT 02870v8512d 11 1 results result NOUN 02870v8512d 11 2 clearly clearly ADV 02870v8512d 11 3 show show VERB 02870v8512d 11 4 the the DET 02870v8512d 11 5 local local ADJ 02870v8512d 11 6 dynamic dynamic ADJ 02870v8512d 11 7 behavior behavior NOUN 02870v8512d 11 8 of of ADP 02870v8512d 11 9 each each DET 02870v8512d 11 10 component component NOUN 02870v8512d 11 11 of of ADP 02870v8512d 11 12 the the DET 02870v8512d 11 13 jet jet NOUN 02870v8512d 11 14 structure structure NOUN 02870v8512d 11 15 . . PUNCT