id sid tid token lemma pos v692t43804r 1 1 the the DET v692t43804r 1 2 wavelet wavelet NOUN v692t43804r 1 3 adaptive adaptive ADJ v692t43804r 1 4 multiresolution multiresolution NOUN v692t43804r 1 5 representation representation NOUN v692t43804r 1 6 ( ( PUNCT v692t43804r 1 7 wamr wamr NOUN v692t43804r 1 8 ) ) PUNCT v692t43804r 1 9 method method NOUN v692t43804r 1 10 provides provide VERB v692t43804r 1 11 a a DET v692t43804r 1 12 robust robust ADJ v692t43804r 1 13 method method NOUN v692t43804r 1 14 for for ADP v692t43804r 1 15 controlling control VERB v692t43804r 1 16 spatial spatial ADJ v692t43804r 1 17 grid grid NOUN v692t43804r 1 18 adaption adaption NOUN v692t43804r 1 19 --fine --fine PUNCT v692t43804r 1 20 grid grid NOUN v692t43804r 1 21 spacing space VERB v692t43804r 1 22 in in ADP v692t43804r 1 23 regions region NOUN v692t43804r 1 24 of of ADP v692t43804r 1 25 a a DET v692t43804r 1 26 solution solution NOUN v692t43804r 1 27 requiring require VERB v692t43804r 1 28 high high ADJ v692t43804r 1 29 resolution resolution NOUN v692t43804r 1 30 ( ( PUNCT v692t43804r 1 31 i.e. i.e. X v692t43804r 1 32 near near ADP v692t43804r 1 33 steep steep ADJ v692t43804r 1 34 gradients gradient NOUN v692t43804r 1 35 , , PUNCT v692t43804r 1 36 singularities singularity NOUN v692t43804r 1 37 , , PUNCT v692t43804r 1 38 or or CCONJ v692t43804r 1 39 near near ADJ v692t43804r 1 40 - - PUNCT v692t43804r 1 41 singularities singularity NOUN v692t43804r 1 42 ) ) PUNCT v692t43804r 1 43 and and CCONJ v692t43804r 1 44 using use VERB v692t43804r 1 45 much much ADJ v692t43804r 1 46 coarser coarser NOUN v692t43804r 1 47 grid grid NOUN v692t43804r 1 48 spacing space VERB v692t43804r 1 49 where where SCONJ v692t43804r 1 50 the the DET v692t43804r 1 51 solution solution NOUN v692t43804r 1 52 is be AUX v692t43804r 1 53 slowly slowly ADV v692t43804r 1 54 varying vary VERB v692t43804r 1 55 . . PUNCT v692t43804r 2 1 the the DET v692t43804r 2 2 sparse sparse ADJ v692t43804r 2 3 grids grid NOUN v692t43804r 2 4 produced produce VERB v692t43804r 2 5 using use VERB v692t43804r 2 6 the the DET v692t43804r 2 7 wamr wamr ADJ v692t43804r 2 8 method method NOUN v692t43804r 2 9 exhibit exhibit VERB v692t43804r 2 10 very very ADV v692t43804r 2 11 high high ADJ v692t43804r 2 12 compression compression NOUN v692t43804r 2 13 ratios ratio NOUN v692t43804r 2 14 compared compare VERB v692t43804r 2 15 to to ADP v692t43804r 2 16 uniform uniform ADJ v692t43804r 2 17 grids grid NOUN v692t43804r 2 18 of of ADP v692t43804r 2 19 equivalent equivalent ADJ v692t43804r 2 20 resolution resolution NOUN v692t43804r 2 21 . . PUNCT v692t43804r 3 1 subsequently subsequently ADV v692t43804r 3 2 , , PUNCT v692t43804r 3 3 a a DET v692t43804r 3 4 wide wide ADJ v692t43804r 3 5 range range NOUN v692t43804r 3 6 of of ADP v692t43804r 3 7 spatial spatial ADJ v692t43804r 3 8 scales scale NOUN v692t43804r 3 9 often often ADV v692t43804r 3 10 occuring occur VERB v692t43804r 3 11 in in ADP v692t43804r 3 12 continuum continuum PROPN v692t43804r 3 13 physics physics NOUN v692t43804r 3 14 models model NOUN v692t43804r 3 15 can can AUX v692t43804r 3 16 be be AUX v692t43804r 3 17 efficiently efficiently ADV v692t43804r 3 18 captured capture VERB v692t43804r 3 19 . . PUNCT v692t43804r 4 1 furthermore furthermore ADV v692t43804r 4 2 , , PUNCT v692t43804r 4 3 the the DET v692t43804r 4 4 wavelet wavelet NOUN v692t43804r 4 5 transform transform NOUN v692t43804r 4 6 provides provide VERB v692t43804r 4 7 a a DET v692t43804r 4 8 direct direct ADJ v692t43804r 4 9 measure measure NOUN v692t43804r 4 10 of of ADP v692t43804r 4 11 local local ADJ v692t43804r 4 12 error error NOUN v692t43804r 4 13 at at ADP v692t43804r 4 14 each each DET v692t43804r 4 15 grid grid NOUN v692t43804r 4 16 point point NOUN v692t43804r 4 17 , , PUNCT v692t43804r 4 18 effectively effectively ADV v692t43804r 4 19 producing produce VERB v692t43804r 4 20 automatically automatically ADV v692t43804r 4 21 verified verify VERB v692t43804r 4 22 solutions solution NOUN v692t43804r 4 23 . . PUNCT v692t43804r 5 1 in in ADP v692t43804r 5 2 this this DET v692t43804r 5 3 work work NOUN v692t43804r 5 4 , , PUNCT v692t43804r 5 5 the the DET v692t43804r 5 6 wamr wamr ADJ v692t43804r 5 7 algorithm algorithm PROPN v692t43804r 5 8 is be AUX v692t43804r 5 9 parallelized parallelize VERB v692t43804r 5 10 using use VERB v692t43804r 5 11 an an DET v692t43804r 5 12 mpi mpi ADV v692t43804r 5 13 - - PUNCT v692t43804r 5 14 based base VERB v692t43804r 5 15 domain domain NOUN v692t43804r 5 16 decomposition decomposition NOUN v692t43804r 5 17 approach approach NOUN v692t43804r 5 18 suitable suitable ADJ v692t43804r 5 19 for for ADP v692t43804r 5 20 a a DET v692t43804r 5 21 wide wide ADJ v692t43804r 5 22 range range NOUN v692t43804r 5 23 of of ADP v692t43804r 5 24 distributed distribute VERB v692t43804r 5 25 - - PUNCT v692t43804r 5 26 memory memory NOUN v692t43804r 5 27 parallel parallel NOUN v692t43804r 5 28 architectures architecture NOUN v692t43804r 5 29 . . PUNCT v692t43804r 6 1 the the DET v692t43804r 6 2 method method NOUN v692t43804r 6 3 is be AUX v692t43804r 6 4 applied apply VERB v692t43804r 6 5 to to ADP v692t43804r 6 6 the the DET v692t43804r 6 7 solution solution NOUN v692t43804r 6 8 of of ADP v692t43804r 6 9 the the DET v692t43804r 6 10 unsteady unsteady ADJ v692t43804r 6 11 , , PUNCT v692t43804r 6 12 compressible compressible ADJ v692t43804r 6 13 , , PUNCT v692t43804r 6 14 reactive reactive ADJ v692t43804r 6 15 navier navier NOUN v692t43804r 6 16 - - PUNCT v692t43804r 6 17 stokes stoke NOUN v692t43804r 6 18 equations equation NOUN v692t43804r 6 19 and and CCONJ v692t43804r 6 20 includes include VERB v692t43804r 6 21 detailed detailed ADJ v692t43804r 6 22 diffusive diffusive ADJ v692t43804r 6 23 transport transport NOUN v692t43804r 6 24 and and CCONJ v692t43804r 6 25 chemical chemical NOUN v692t43804r 6 26 kinetics kinetic NOUN v692t43804r 6 27 models model NOUN v692t43804r 6 28 . . PUNCT v692t43804r 7 1 performance performance NOUN v692t43804r 7 2 of of ADP v692t43804r 7 3 the the DET v692t43804r 7 4 method method NOUN v692t43804r 7 5 is be AUX v692t43804r 7 6 examined examine VERB v692t43804r 7 7 on on ADP v692t43804r 7 8 several several ADJ v692t43804r 7 9 test test NOUN v692t43804r 7 10 problems problem NOUN v692t43804r 7 11 in in ADP v692t43804r 7 12 1- 1- PROPN v692t43804r 7 13 , , PUNCT v692t43804r 7 14 2- 2- PROPN v692t43804r 7 15 , , PUNCT v692t43804r 7 16 and and CCONJ v692t43804r 7 17 3 3 NUM v692t43804r 7 18 - - PUNCT v692t43804r 7 19 dimensions dimension NOUN v692t43804r 7 20 . . PUNCT v692t43804r 8 1 the the DET v692t43804r 8 2 wamr wamr ADJ v692t43804r 8 3 method method NOUN v692t43804r 8 4 shows show VERB v692t43804r 8 5 an an DET v692t43804r 8 6 impressive impressive ADJ v692t43804r 8 7 compression compression NOUN v692t43804r 8 8 of of ADP v692t43804r 8 9 the the DET v692t43804r 8 10 solution solution NOUN v692t43804r 8 11 , , PUNCT v692t43804r 8 12 reducing reduce VERB v692t43804r 8 13 the the DET v692t43804r 8 14 number number NOUN v692t43804r 8 15 of of ADP v692t43804r 8 16 collocation collocation NOUN v692t43804r 8 17 points point NOUN v692t43804r 8 18 used use VERB v692t43804r 8 19 by by ADP v692t43804r 8 20 factors factor NOUN v692t43804r 8 21 of of ADP v692t43804r 8 22 up up ADP v692t43804r 8 23 to to PART v692t43804r 8 24 $ $ SYM v692t43804r 8 25 o(10,000)$. o(10,000)$. ADJ v692t43804r 8 26 excellent excellent ADJ v692t43804r 8 27 parallel parallel ADJ v692t43804r 8 28 performance performance NOUN v692t43804r 8 29 is be AUX v692t43804r 8 30 also also ADV v692t43804r 8 31 seen see VERB v692t43804r 8 32 , , PUNCT v692t43804r 8 33 with with SCONJ v692t43804r 8 34 near near ADJ v692t43804r 8 35 - - PUNCT v692t43804r 8 36 linear linear NOUN v692t43804r 8 37 scaling scaling NOUN v692t43804r 8 38 for for ADP v692t43804r 8 39 up up ADP v692t43804r 8 40 to to PART v692t43804r 8 41 512 512 NUM v692t43804r 8 42 processor processor NOUN v692t43804r 8 43 cores core NOUN v692t43804r 8 44 tested test VERB v692t43804r 8 45 . . PUNCT v692t43804r 9 1 the the DET v692t43804r 9 2 wamr wamr ADJ v692t43804r 9 3 method method NOUN v692t43804r 9 4 is be AUX v692t43804r 9 5 then then ADV v692t43804r 9 6 applied apply VERB v692t43804r 9 7 to to ADP v692t43804r 9 8 three three NUM v692t43804r 9 9 high high ADJ v692t43804r 9 10 - - PUNCT v692t43804r 9 11 speed speed NOUN v692t43804r 9 12 compressible compressible ADJ v692t43804r 9 13 flow flow NOUN v692t43804r 9 14 problems problem NOUN v692t43804r 9 15 . . PUNCT v692t43804r 10 1 the the DET v692t43804r 10 2 first first ADJ v692t43804r 10 3 is be AUX v692t43804r 10 4 the the DET v692t43804r 10 5 shock shock NOUN v692t43804r 10 6 and and CCONJ v692t43804r 10 7 reshock reshock NOUN v692t43804r 10 8 of of ADP v692t43804r 10 9 a a DET v692t43804r 10 10 thin thin ADJ v692t43804r 10 11 , , PUNCT v692t43804r 10 12 dense dense ADJ v692t43804r 10 13 , , PUNCT v692t43804r 10 14 gas gas NOUN v692t43804r 10 15 layer layer NOUN v692t43804r 10 16 in in ADP v692t43804r 10 17 air air NOUN v692t43804r 10 18 , , PUNCT v692t43804r 10 19 and and CCONJ v692t43804r 10 20 the the DET v692t43804r 10 21 subsequent subsequent ADJ v692t43804r 10 22 richtmyer richtmyer NOUN v692t43804r 10 23 - - PUNCT v692t43804r 10 24 meshkov meshkov NOUN v692t43804r 10 25 instability instability NOUN v692t43804r 10 26 which which PRON v692t43804r 10 27 develops develop VERB v692t43804r 10 28 . . PUNCT v692t43804r 11 1 the the DET v692t43804r 11 2 second second ADJ v692t43804r 11 3 problem problem NOUN v692t43804r 11 4 is be AUX v692t43804r 11 5 a a DET v692t43804r 11 6 cellular cellular ADJ v692t43804r 11 7 detonation detonation NOUN v692t43804r 11 8 in in ADP v692t43804r 11 9 a a DET v692t43804r 11 10 hydrogen hydrogen NOUN v692t43804r 11 11 - - PUNCT v692t43804r 11 12 oxygen oxygen NOUN v692t43804r 11 13 - - PUNCT v692t43804r 11 14 argon argon NOUN v692t43804r 11 15 mixture mixture NOUN v692t43804r 11 16 . . PUNCT v692t43804r 12 1 lastly lastly ADV v692t43804r 12 2 , , PUNCT v692t43804r 12 3 the the DET v692t43804r 12 4 ignition ignition NOUN v692t43804r 12 5 and and CCONJ v692t43804r 12 6 combustion combustion NOUN v692t43804r 12 7 of of ADP v692t43804r 12 8 a a DET v692t43804r 12 9 hydrogen hydrogen NOUN v692t43804r 12 10 bubble bubble NOUN v692t43804r 12 11 by by ADP v692t43804r 12 12 a a DET v692t43804r 12 13 shockwave shockwave NOUN v692t43804r 12 14 in in ADP v692t43804r 12 15 air air NOUN v692t43804r 12 16 is be AUX v692t43804r 12 17 simulated simulate VERB v692t43804r 12 18 . . PUNCT v692t43804r 13 1 in in ADP v692t43804r 13 2 all all DET v692t43804r 13 3 cases case NOUN v692t43804r 13 4 , , PUNCT v692t43804r 13 5 results result NOUN v692t43804r 13 6 agree agree VERB v692t43804r 13 7 favourably favourably ADV v692t43804r 13 8 with with ADP v692t43804r 13 9 experimental experimental ADJ v692t43804r 13 10 and and CCONJ v692t43804r 13 11 previous previous ADJ v692t43804r 13 12 computational computational ADJ v692t43804r 13 13 results result NOUN v692t43804r 13 14 . . PUNCT