database
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| - | The solutions are given as differences from the laminar flow. The spatial periodicity of the solutions is defined in terms of either fundamental wavenumbers (α,γ) or periodic domain size (Lx,Lz), with the relations Lx = 2π/α, Lz = 2π/γ. Some authors prefer (α,γ), some (Lx,Lz). The author and year of each solution is listed. Multiple attributions indicate independent derivations; in such cases the author who provided the solution is listed in bold. For more information on the solutions, please see Data formats and References. | + | The solutions are given as **differences from the laminar flow.** The spatial periodicity of the solutions is defined in terms of either fundamental wavenumbers (α,γ) or periodic domain size (Lx,Lz), with the relations Lx = 2π/α, Lz = 2π/γ. Some authors prefer (α,γ), some (Lx,Lz). The author and year of each solution is listed. Multiple attributions indicate independent derivations; in such cases the author who provided the solution is listed in bold. For more information on the solutions, please see Data formats and References. |
| + | |||
| + | ====== The W03 cell ====== | ||
| + | |||
| + | The W03 cell, defined as α=1.14, γ=2.5, was first studied by [[:references|Waleffe (2003)]].((he would prefer | ||
| + | we just used the α,γ values, but we find it convenient to have a short name :-))) | ||
| + | ===== Equilibria ===== | ||
| + | |||
| + | These equilibria include the [[:references|Nagata (1990)]] lower and upper branch (labelled EQ1 and EQ2 here), | ||
| + | which were studied in detail by [[:references|Clever and Busse (1997)]] and derived independently and | ||
| + | extended to other boundary conditions by [[:references|Waleffe (2003)]]. Nagata's original derivation | ||
| + | was for different α,γ values, but we have confirmed that Waleffe's solution is the same as Nagata by | ||
| + | continuing Waleffe's solution to Nagata's parameters. Re=400 unless otherwise marked. | ||
| + | |||
| + | ^ name ^ Re ^ binary data ^ ascii data ^ image ^ author ^ posted ^ | ||
| + | | EQ1 | | {{database:w03:eq1.ff}} | {{database:w03:eq1.tgz}} | [[database:w03#equilibria|eq1]] | Nagata (1990)((independent derivation by Waleffe, who provided this numerical data)) | 2007-11-01 | | ||
| + | | EQ2 | | {{database:w03:eq2.ff}} | {{database:w03:eq2.tgz}} | [[database:w03#equilibria|eq2]] | Nagata (1990)((ibid)) | 2007-11-01 | | ||
| + | | EQ3 | | {{database:w03:eq3.ff}} | {{database:w03:eq3.tgz}} | [[database:w03#equilibria|eq3]] | Halcrow et al. (2008) | 2007-11-01 | | ||
| + | | EQ4 | | {{database:w03:eq4.ff}} | {{database:w03:eq4.tgz}} | [[database:w03#equilibria|eq4]] | Gibson et al. (2008) | 2007-11-01 | | ||
| + | | EQ5 | | {{database:w03:eq5.ff}} | {{database:w03:eq5.tgz}} | [[database:w03#equilibria|eq5]] | Halcrow et al. (2008) | 2007-11-01 | | ||
| + | | EQ6 | 330 | {{database:w03:eq6.ff}} | {{database:w03:eq6.tgz}} | [[database:w03#equilibria|eq6]] | " | 2007-11-01 | | ||
| + | | EQ7 | | {{database:w03:eq7.ff}} | {{database:w03:eq7.tgz}} | [[database:w03#equilibria|eq7]] | " | 2008-05-09 | | ||
| + | | EQ8 | 270 | {{database:w03:eq8.ff}} | {{database:w03:eq8.tgz}} | [[database:w03#equilibria|eq8]] | " | 2008-05-09 | | ||
| + | | EQ9 | | {{database:w03:eq9.ff}} | {{database:w03:eq9.tgz}} | [[database:w03#equilibria|eq9]] | " | 2008-05-09 | | ||
| + | | EQ10 | | {{database:w03:eq10.ff}} | {{database:w03:eq10.tgz}} | [[database:w03#equilibria|eq10]] | " | 2008-05-11 | | ||
| + | | EQ11 | | {{database:w03:eq11.ff}} | {{database:w03:eq11.tgz}} | [[database:w03#equilibria|eq11]] | " | 2008-05-12 | | ||
| + | ===== Traveling waves ===== | ||
| + | |||
| + | All traveling waves are for Re=400. | ||
| + | |||
| + | ^ name ^ binary data ^ ascii data ^ image ^ author ^ posted ^ | ||
| + | | TW1 | {{database:w03:tw1.ff}} | {{database:w03:tw1.tgz}} | [[database:w03#traveling_waves|tw1]] | Halcrow et al. (2008) | 2008-01-29 | | ||
| + | | TW2 | {{database:w03:tw2.ff}} | {{database:w03:tw2.tgz}} | [[database:w03#traveling_waves|tw2]] | Viswanath (2007) | 2008-07-24 | | ||
| + | | TW3 | {{database:w03:tw3.ff}} | {{database:w03:tw3.tgz}} | [[database:w03#traveling_waves|tw3]] | Halcrow et al. (2008) | 2008-01-29 | | ||
| + | |||
| + | ===== Periodic orbits ===== | ||
| + | |||
| + | All periodic orbits are for Re=400. | ||
| + | |||
| + | ^ name ^ binary data ^ ascii data ^ symmetry ^ movie ^ author ^ posted ^ | ||
| + | | P35.77 | {{database:w03:P35p77.ff}} | {{database:w03:P35p77.tgz}} | {{database:w03:P35p77symm.asc}} | [[database:w03#p35.77|P35.77 movie]] | Gibson et al. | 2009-06-05 | | ||
| + | | P47.18 | {{database:w03:P47p18.ff}} | {{database:w03:P47p18.tgz}} | {{database:w03:P47p18symm.asc}} | [[database:w03#p47.18|P47.18 movie]] | " | 2009-06-05 | | ||
| + | | P50.16 | {{database:w03:P50p16.ff}} | {{database:w03:P50p16.tgz}} | {{database:w03:P50p16symm.asc}} | [[database:w03#p50.16|P50.16 movie]] | " | 2009-06-05 | | ||
| + | | P82.36 | {{database:w03:P82p36.ff}} | {{database:w03:P82p36.tgz}} | {{database:w03:P82p36symm.asc}} | [[database:w03#p82.36|P82.36 movie]] | | 2009-06-05 | | ||
| + | | P83.60 | {{database:w03:P83p60.ff}} | {{database:w03:P83p60.tgz}} | {{database:w03:P83p60symm.asc}} | [[database:w03#p83.60|P83.60 movie]] | | 2009-06-05 | | ||
| + | |||
| ====== The HKW cell ====== | ====== The HKW cell ====== | ||
| Line 19: | Line 65: | ||
| ===== Equilibria ===== | ===== Equilibria ===== | ||
| - | These equilibria are for α=1.14, γ=2.5, to match [[:references|Waleffe (2003)]]. Re=400 for all. | + | These equilibria are for α=1.14, γ=1.67, to match [[:references|Waleffe (2003)]]. Re=400 for all. |
| ^ name ^ binary data ^ ascii data ^ image ^ author ^ posted ^ | ^ name ^ binary data ^ ascii data ^ image ^ author ^ posted ^ | ||
| - | |2 x EQ1| {{database:hkw:2xEQ1.ff}} | {{database:hkw:2xEQ1.tgz}} | [[database:hkw#2xeq1]] | Halcrow et al (2008) | 2008-01-29 | | + | |2 x EQ1| {{database:hkw:2xeq1.ff}} | {{database:hkw:2xeq1.tgz}} | [[database:hkw#equilibria|2xeq1]] | Halcrow et al (2008) | 2008-01-29 | |
| - | |2 x EQ2| {{database:hkw:2xEQ2.ff}} | {{database:hkw:2xEQ2.tgz}} | [[database:hkw#2xeq2]] | " | " | | + | |2 x EQ2| {{database:hkw:2xeq2.ff}} | {{database:hkw:2xeq2.tgz}} | [[database:hkw#equilibria|2xeq2]] | " | " | |
| - | | EQ4 | {{database:hkw:EQ4.ff}} | {{database:hkw:EQ4.tgz}} | [[database:hkw#eq4]] | " | " | | + | | EQ4 | {{database:hkw:eq4.ff}} | {{database:hkw:eq4.tgz}} | [[database:hkw#equilibria|eq4]] | " | " | |
| - | | EQ7 | {{database:hkw:EQ7.ff}} | {{database:hkw:EQ7.tgz}} | [[database:hkw#eq7]] | " | 2008-05-13 | | + | | EQ7 | {{database:hkw:eq7.ff}} | {{database:hkw:eq7.tgz}} | [[database:hkw#equilibria|eq7]] | " | 2008-05-13 | |
| - | | EQ9 | {{database:hkw:EQ9.ff}} | {{database:hkw:EQ9.tgz}} | [[database:hkw#eq9]] | " | " |===== Periodic orbits ===== | + | | EQ9 | {{database:hkw:eq9.ff}} | {{database:hkw:eq8.tgz}} | [[database:hkw#equilibria|eq9]] | " | " | |
| ===== Periodic orbits ===== | ===== Periodic orbits ===== | ||
| Line 34: | Line 80: | ||
| ^ name ^ binary data ^ ascii data ^ symmetry ^ movie ^ author ^ posted ^ | ^ name ^ binary data ^ ascii data ^ symmetry ^ movie ^ author ^ posted ^ | ||
| - | | P19.02 | {{database:hkw:P19p02.ff}} | {{database:hkw:P19p02.tgz}} | {{database:hkw:p19p02symm.asc}} | [[movies:hkw#p19.02|P19.02 movie]] | Gibson et al. | 2008-04-04 | | + | | P19.02 | {{database:hkw:P19p02.ff}} | {{database:hkw:P19p02.tgz}} | {{database:hkw:p19p02symm.asc}} | [[database:hkw#p19.02|P19.02 movie]] | Gibson et al. | 2008-04-04 | |
| - | | P19.06 | {{database:hkw:P19p06.ff}} | {{database:hkw:P19p06.tgz}} | {{database:hkw:p19p02symm.asc}} | [[movies:hkw#p19.06|P19.06 movie]] | " | 2009-01-28 | | + | | P19.06 | {{database:hkw:P19p06.ff}} | {{database:hkw:P19p06.tgz}} | {{database:hkw:p19p02symm.asc}} | [[database:hkw#p19.06|P19.06 movie]] | " | 2009-01-28 | |
| - | | P31.81 | {{database:hkw:P31p81.ff}} | {{database:hkw:P31p81.tgz}} | {{database:hkw:p31p81symm.asc}} | [[movies:hkw#p31.81|P31.81 movie]] | " | 2009-01-28 | | + | | P31.81 | {{database:hkw:P31p81.ff}} | {{database:hkw:P31p81.tgz}} | {{database:hkw:p31p81symm.asc}} | [[database:hkw#p31.81|P31.81 movie]] | " | 2009-01-28 | |
| - | | P41.36 | {{database:hkw:P41p36.ff}} | {{database:hkw:P41p36.tgz}} | {{database:hkw:p41p36symm.asc}} | [[movies:hkw#p41.36|P41.36 movie]] | Kawahara, Kida 2001 | 2008-04-04 | | + | | P41.36 | {{database:hkw:P41p36.ff}} | {{database:hkw:P41p36.tgz}} | {{database:hkw:p41p36symm.asc}} | [[database:hkw#p41.36|P41.36 movie]] | Kawahara, Kida 2001 ((found independently by Viswanath, who provided this data)) | 2008-04-04 | |
| - | | P46.23 | {{database:hkw:p46p23.ff}} | {{database:hkw:p46p23.tgz}} | {{database:hkw:p46p23symm.asc}} | [[movies:hkw#p46.23|P46.23 movie]] | Gibson et al. | 2008-03-20 | | + | | P46.23 | {{database:hkw:p46p23.ff}} | {{database:hkw:p46p23.tgz}} | {{database:hkw:p46p23symm.asc}} | [[database:hkw#p46.23|P46.23 movie]] | Gibson et al. | 2008-03-20 | |
| - | | P62.13 | {{database:hkw:p62p13.ff}} | {{database:hkw:p62p13.tgz}} | {{database:hkw:p62p13symm.asc}} | [[movies:hkw#p62.13|P62.13 movie]] | " | 2009-01-28 | | + | | P62.13 | {{database:hkw:p62p13.ff}} | {{database:hkw:p62p13.tgz}} | {{database:hkw:p62p13symm.asc}} | [[database:hkw#p62.13|P62.13 movie]] | " | 2009-01-28 | |
| - | | P68.07 | {{database:hkw:p68p07.ff}} | {{database:hkw:p68p07.tgz}} | {{database:hkw:p68p07symm.asc}} | [[movies:hkw#p68.07|P68.07 movie]] | " | 2008-03-20 | | + | | P68.07 | {{database:hkw:p68p07.ff}} | {{database:hkw:p68p07.tgz}} | {{database:hkw:p68p07symm.asc}} | [[database:hkw#p68.07|P68.07 movie]] | " | 2008-03-20 | |
| - | | P75.35 | {{database:hkw:p75p35.ff}} | {{database:hkw:p75p35.tgz}} | {{database:hkw:p75p35symm.asc}} | [[movies:hkw#p75.35|P75.35 movie]] | " | 2008-03-20 | | + | | P75.35 | {{database:hkw:p75p35.ff}} | {{database:hkw:p75p35.tgz}} | {{database:hkw:p75p35symm.asc}} | [[database:hkw#p75.35|P75.35 movie]] | " | 2008-03-20 | |
| - | | P76.82 | {{database:hkw:p76p82.ff}} | {{database:hkw:p76p82.tgz}} | {{database:hkw:p76p82symm.asc}} | [[movies:hkw#p76.82|P76.82 movie]] | " | 2008-03-20 | | + | | P76.82 | {{database:hkw:p76p82.ff}} | {{database:hkw:p76p82.tgz}} | {{database:hkw:p76p82symm.asc}} | [[database:hkw#p76.82|P76.82 movie]] | " | 2008-03-20 | |
| - | | P76.85 | {{database:hkw:p76p85.ff}} | {{database:hkw:p76p85.tgz}} | {{database:hkw:p76p85symm.asc}} | [[movies:hkw#p76.85|P76.85 movie]] | " | 2008-03-20 | | + | | P76.85 | {{database:hkw:p76p85.ff}} | {{database:hkw:p76p85.tgz}} | {{database:hkw:p76p85symm.asc}} | [[database:hkw#p76.85|P76.85 movie]] | " | 2008-03-20 | |
| - | | P85.27 | {{database:hkw:p85p27.ff}} | {{database:hkw:p85p27.tgz}} | {{database:hkw:p85p27symm.asc}} | [[movies:hkw#p85.27|P85.27 movie]] | " | 2009-01-28 | | + | | P85.27 | {{database:hkw:p85p27.ff}} | {{database:hkw:p85p27.tgz}} | {{database:hkw:p85p27symm.asc}} | [[database:hkw#p85.27|P85.27 movie]] | " | 2009-01-28 | |
| - | | P87.89 | {{database:hkw:p87p89.ff}} | {{database:hkw:p87p89.tgz}} | {{database:hkw:p87p89symm.asc}} | [[movies:hkw#p87.89|P87.89 movie]] | Viswanath 2007 | 2008-03-20 | | + | | P87.89 | {{database:hkw:p87p89.ff}} | {{database:hkw:p87p89.tgz}} | {{database:hkw:p87p89symm.asc}} | [[database:hkw#p87.89|P87.89 movie]] | Viswanath 2007 | 2008-03-20 | |
| - | | P88.90 | {{database:hkw:p88p90.ff}} | {{database:hkw:p88p90.tgz}} | {{database:hkw:p88p90symm.asc}} | [[movies:hkw#p88.90|P88.90 movie]] | Gibson et al. | 2008-03-20 | | + | | P88.90 | {{database:hkw:p88p90.ff}} | {{database:hkw:p88p90.tgz}} | {{database:hkw:p88p90symm.asc}} | [[database:hkw#p88.90|P88.90 movie]] | Gibson et al. | 2008-03-20 | |
| - | | P90.31 | {{database:hkw:p90p31.ff}} | {{database:hkw:p90p31.tgz}} | {{database:hkw:p90p31symm.asc}} | [[movies:hkw#p90.31|P90.31 movie]] | " | 2008-01-28 | | + | | P90.31 | {{database:hkw:p90p31.ff}} | {{database:hkw:p90p31.tgz}} | {{database:hkw:p90p31symm.asc}} | [[database:hkw#p90.31|P90.31 movie]] | " | 2008-01-28 | |
| - | | P90.52 | {{database:hkw:p90p52.ff}} | {{database:hkw:p90p52.tgz}} | {{database:hkw:p90p52symm.asc}} | [[movies:hkw#p90.52|P90.52 movie]] | " | 2009-01-28 | | + | | P90.52 | {{database:hkw:p90p52.ff}} | {{database:hkw:p90p52.tgz}} | {{database:hkw:p90p52symm.asc}} | [[database:hkw#p90.52|P90.52 movie]] | " | 2009-01-28 | |
| - | | P99.70 | {{database:hkw:p99p70.ff}} | {{database:hkw:p99p70.tgz}} | {{database:hkw:p99p70symm.asc}} | [[movies:hkw#p99.70|P99.70 movie]] | " | 2009-01-28 | | + | | P99.70 | {{database:hkw:p99p70.ff}} | {{database:hkw:p99p70.tgz}} | {{database:hkw:p99p70symm.asc}} | [[database:hkw#p99.70|P99.70 movie]] | " | 2009-01-28 | |
| - | | P121.4 | {{database:hkw:p121p4.ff}} | {{database:hkw:p121p4.tgz}} | {{database:hkw:p121p4symm.asc}} | [[movies:hkw#p121.4|P121.4 movie]] | " | 2008-03-20 | | + | | P121.4 | {{database:hkw:p121p4.ff}} | {{database:hkw:p121p4.tgz}} | {{database:hkw:p121p4symm.asc}} | [[database:hkw#p121.4|P121.4 movie]] | " | 2008-03-20 | |
| ====== Data formats ====== | ====== Data formats ====== | ||
database.1235086133.txt.gz · Last modified: 2009/02/19 15:28 by gibson
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