# Stokes flow past a sphere (see Schlichting ch6).

<USER>
u = 0.75*R*x*x/(x*x+y*y)^1.5*(R*R/(x*x+y*y)-1)-0.25*R/sqrt(x*x+y*y)*(3+R*R/(x*x+y*y))+1
v = 0.75*R*x*y/(x*x+y*y)^1.5*(R*R/(x*x+y*y)-1)
p = 0.0
</USER>

<FIELDS>
u v p
</FIELDS>

<TOKENS>
	CYLINDRICAL = 1
	CHKPOINT    = 1
	R           = 0.5
	N_P         = 7
	D_T         = 0.01
	N_STEP      = 5000
	N_TIME      = 1
	KINVIS      = 1
	IO_FLD      = N_STEP
	IO_WSS      = N_STEP
</TOKENS>

<HISTORY NUMBER=1>
        1 2 0 0
</HISTORY>

<GROUPS NUMBER=5>
        1       v       velocity
        2       a       axis
        3       w       wall
        4       o       outflow
	5	s	symmetry
</GROUPS>

<BCS NUMBER=5>
1       v       3
        <D>     u = 0.75*R*x*x/(x*x+y*y)^1.5*(R*R/(x*x+y*y)-1)-0.25*R/sqrt(x*x+y*y)*(3+R*R/(x*x+y*y))+1 </D>
        <D>     v = 0.75*R*x*y/(x*x+y*y)^1.5*(R*R/(x*x+y*y)-1) </D>
        <H>     p       </H>
2       a       3
        <A>     u       </A>
        <A>     v       </A>
        <A>     p       </A>
3       w       3
        <D>     u = 0.0 </D>
        <D>     v = 0.0 </D>
        <H>     p       </H>
4       o	3
        <N>     u = 0.0 </N>
        <N>     v = 0.0 </N>
        <D>     p = 0.0 </D>
5       s	3
        <N>     u = 0.0 </N>
        <D>     v = 0.0 </D>
        <H>     p	</H>
</BCS>


<NODES NUMBER=238>
    1                  0.5           0         0
    2             0.447214    0.223607         0
    3             0.320092    0.384111         0
    4                    0         0.5         0
    5            -0.353553    0.353553         0
    6                 -0.5           0         0
    7            -0.353553   -0.353553         0
    8                    0        -0.5         0
    9             0.320092   -0.384111         0
   10             0.447214   -0.223607         0
   11                  0.6           0         0
   12              0.54378     0.25357         0
   13             0.384111    0.460933         0
   14                    0         0.6         0
   15            -0.424264    0.424264         0
   16                 -0.6           0         0
   17            -0.424264   -0.424264         0
   18                    0        -0.6         0
   19             0.384111   -0.460933         0
   20              0.54378    -0.25357         0
   21                    1           0         0
   22               0.9205     0.39073         0
   23             0.640184    0.768221         0
   24                    0           1         0
   25            -0.707107    0.707107         0
   26                   -1           0         0
   27            -0.707107   -0.707107         0
   28                    0          -1         0
   29             0.640184   -0.768221         0
   30               0.9205    -0.39073         0
   31                  1.7           0         0
   32              1.58709     0.60923         0
   33               1.1594      1.2433         0
   34                    0         1.7         0
   35             -1.20208     1.20208         0
   36                 -1.7           0         0
   37             -1.20208    -1.20208         0
   38                    0        -1.7         0
   39               1.1594     -1.2433         0
   40              1.58709    -0.60923         0
   41                 2.55           0         0
   42              2.41107      0.8302         0
   43              1.83432     1.77138         0
   44                    0        2.55         0
   45             -1.80312     1.80312         0
   46                -2.55           0         0
   47             -1.80312    -1.80312         0
   48                    0       -2.55         0
   49              1.83432    -1.77138         0
   50              2.41107     -0.8302         0
   51                  3.7           0         0
   52                  3.6         1.1         0
   53                  3.1         2.5         0
   54                    0           4         0
   55             -2.82843     2.82843         0
   56                   -4           0         0
   57             -2.82843    -2.82843         0
   58                    0          -4         0
   59                  3.1        -2.5         0
   60                  3.6        -1.1         0
   61                  3.1         7.0         0
   62                    0         7.0         0
   63                 -7.5         7.0         0
   64                 -7.5           0         0
   65                 -7.5        -7.0         0
   66                    0        -7.0         0
   67                  3.1        -7.0         0
   68                  5.2         7.0         0
   69                  5.2         2.9         0
   70                  5.2         1.4         0
   71                  5.2           0         0
   72                  5.2        -1.4         0
   73                  5.2        -2.9         0
   74                  5.2        -7.0         0
   75                  7.5         7.0         0
   76                  7.5           3         0
   77                  7.5         1.5         0
   78                  7.5           0         0
   79                  7.5        -1.5         0
   80                  7.5          -3         0
   81                  7.5        -7.0         0
   82                10.25         7.0         0
   83                10.25           3         0
   84                10.25         1.5         0
   85                10.25           0         0
   86                10.25        -1.5         0
   87                10.25          -3         0
   88                10.25        -7.0         0
   89                13.25         7.0         0
   90                13.25           3         0
   91                13.25         1.5         0
   92                13.25           0         0
   93                13.25        -1.5         0
   94                13.25          -3         0
   95                13.25        -7.0         0
   96                 16.5         7.0         0
   97                 16.5           3         0
   98                 16.5         1.5         0
   99                 16.5           0         0
  100                 16.5        -1.5         0
  101                 16.5          -3         0
  102                 16.5        -7.0         0
  103                   20         7.0         0
  104                   20           3         0
  105                   20         1.5         0
  106                   20           0         0
  107                   20        -1.5         0
  108                   20          -3         0
  109                   20        -7.0         0
  110                 -7.5          20         0
  111                    0          20         0
  112                  3.1          20         0
  113                  5.2          20         0
  114                  7.5          20         0
  115                10.25          20         0
  116                13.25          20         0
  117                 16.5          20         0
  118                   20          20         0
  119                 -7.5         -20         0
  120                    0         -20         0
  121                  3.1         -20         0
  122                  5.2         -20         0
  123                  7.5         -20         0
  124                10.25         -20         0
  125                13.25         -20         0
  126                 16.5         -20         0
  127                   20         -20         0
  128                 -0.5           0         0
  129            -0.447214    0.223607         0
  130            -0.320092    0.384111         0
  131             0.353553    0.353553         0
  132                  0.5           0         0
  133             0.353553   -0.353553         0
  134            -0.320092   -0.384111         0
  135            -0.447214   -0.223607         0
  136                 -0.6           0         0
  137             -0.54378     0.25357         0
  138            -0.384111    0.460933         0
  139             0.424264    0.424264         0
  140                  0.6           0         0
  141             0.424264   -0.424264         0
  142            -0.384111   -0.460933         0
  143             -0.54378    -0.25357         0
  144                   -1           0         0
  145              -0.9205     0.39073         0
  146            -0.640184    0.768221         0
  147             0.707107    0.707107         0
  148                    1           0         0
  149             0.707107   -0.707107         0
  150            -0.640184   -0.768221         0
  151              -0.9205    -0.39073         0
  152                 -1.7           0         0
  153             -1.58709     0.60923         0
  154              -1.1594      1.2433         0
  155              1.20208     1.20208         0
  156                  1.7           0         0
  157              1.20208    -1.20208         0
  158              -1.1594     -1.2433         0
  159             -1.58709    -0.60923         0
  160                -2.55           0         0
  161             -2.41107      0.8302         0
  162             -1.83432     1.77138         0
  163              1.80312     1.80312         0
  164                 2.55           0         0
  165              1.80312    -1.80312         0
  166             -1.83432    -1.77138         0
  167             -2.41107     -0.8302         0
  168                 -3.7           0         0
  169                 -3.6         1.1         0
  170                 -3.1         2.5         0
  171              2.82843     2.82843         0
  172                    4           0         0
  173              2.82843    -2.82843         0
  174                 -3.1        -2.5         0
  175                 -3.6        -1.1         0
  176                 -3.1         7.0         0
  177                  7.5         7.0         0
  178                  7.5           0         0
  179                  7.5        -7.0         0
  180                 -3.1        -7.0         0
  181                 -5.2         7.0         0
  182                 -5.2         2.9         0
  183                 -5.2         1.4         0
  184                 -5.2           0         0
  185                 -5.2        -1.4         0
  186                 -5.2        -2.9         0
  187                 -5.2        -7.0         0
  188                 -7.5         7.0         0
  189                 -7.5           3         0
  190                 -7.5         1.5         0
  191                 -7.5           0         0
  192                 -7.5        -1.5         0
  193                 -7.5          -3         0
  194                 -7.5        -7.0         0
  195               -10.25         7.0         0
  196               -10.25           3         0
  197               -10.25         1.5         0
  198               -10.25           0         0
  199               -10.25        -1.5         0
  200               -10.25          -3         0
  201               -10.25        -7.0         0
  202               -13.25         7.0         0
  203               -13.25           3         0
  204               -13.25         1.5         0
  205               -13.25           0         0
  206               -13.25        -1.5         0
  207               -13.25          -3         0
  208               -13.25        -7.0         0
  209                -16.5         7.0         0
  210                -16.5           3         0
  211                -16.5         1.5         0
  212                -16.5           0         0
  213                -16.5        -1.5         0
  214                -16.5          -3         0
  215                -16.5        -7.0         0
  216                  -20         7.0         0
  217                  -20           3         0
  218                  -20         1.5         0
  219                  -20           0         0
  220                  -20        -1.5         0
  221                  -20          -3         0
  222                  -20        -7.0         0
  223                  7.5          20         0
  224                 -3.1          20         0
  225                 -5.2          20         0
  226                 -7.5          20         0
  227               -10.25          20         0
  228               -13.25          20         0
  229                -16.5          20         0
  230                  -20          20         0
  231                  7.5         -20         0
  232                 -3.1         -20         0
  233                 -5.2         -20         0
  234                 -7.5         -20         0
  235               -10.25         -20         0
  236               -13.25         -20         0
  237                -16.5         -20         0
  238                  -20         -20         0
</NODES>

<ELEMENTS NUMBER=82>
1	<Q>    1   11   12    2	</Q>
2	<Q>    2   12   13    3	</Q>
3	<Q>    3   13   14    4	</Q>
4	<Q>   11   21   22   12	</Q>
5	<Q>   12   22   23   13	</Q>
6	<Q>   13   23   24   14	</Q>
7	<Q>   21   31   32   22	</Q>
8	<Q>   22   32   33   23	</Q>
9	<Q>   23   33   34   24	</Q>
10	<Q>   31   41   42   32	</Q>
11	<Q>   32   42   43   33	</Q>
12	<Q>   33   43   44   34	</Q>
13	<Q>   41   51   52   42	</Q>
14	<Q>   42   52   53   43	</Q>
15	<Q>   43   53   54   44	</Q>
16	<Q>   54   53   61   62	</Q>
17	<Q>   51   71   70   52	</Q>
18	<Q>   52   70   69   53	</Q>
19	<Q>   53   69   68   61	</Q>
20	<Q>   69   76   75   68	</Q>
21	<Q>   70   77   76   69	</Q>
22	<Q>   71   78   77   70	</Q>
23	<Q>   78   85   84   77	</Q>
24	<Q>   77   84   83   76	</Q>
25	<Q>   76   83   82   75	</Q>
26	<Q>   83   90   89   82	</Q>
27	<Q>   84   91   90   83	</Q>
28	<Q>   85   92   91   84	</Q>
29	<Q>   92   99   98   91	</Q>
30	<Q>   91   98   97   90	</Q>
31	<Q>   90   97   96   89	</Q>
32	<Q>   97  104  103   96	</Q>
33	<Q>   98  105  104   97	</Q>
34	<Q>   99  106  105   98	</Q>
35	<Q>   62   61  112  111	</Q>
36	<Q>   61   68  113  112	</Q>
37	<Q>   68   75  114  113	</Q>
38	<Q>   75   82  115  114	</Q>
39	<Q>   82   89  116  115	</Q>
40	<Q>   89   96  117  116	</Q>
41	<Q>   96  103  118  117	</Q>
42	<Q>  129  137  136  128	</Q>
43	<Q>  130  138  137  129	</Q>
44	<Q>    4   14  138  130	</Q>
45	<Q>  137  145  144  136	</Q>
46	<Q>  138  146  145  137	</Q>
47	<Q>   14   24  146  138	</Q>
48	<Q>  145  153  152  144	</Q>
49	<Q>  146  154  153  145	</Q>
50	<Q>   24   34  154  146	</Q>
51	<Q>  153  161  160  152	</Q>
52	<Q>  154  162  161  153	</Q>
53	<Q>   34   44  162  154	</Q>
54	<Q>  161  169  168  160	</Q>
55	<Q>  162  170  169  161	</Q>
56	<Q>   44   54  170  162	</Q>
57	<Q>   62  176  170   54	</Q>
58	<Q>  169  183  184  168	</Q>
59	<Q>  170  182  183  169	</Q>
60	<Q>  176  181  182  170	</Q>
61	<Q>  181  188  189  182	</Q>
62	<Q>  182  189  190  183	</Q>
63	<Q>  183  190  191  184	</Q>
64	<Q>  190  197  198  191	</Q>
65	<Q>  189  196  197  190	</Q>
66	<Q>  188  195  196  189	</Q>
67	<Q>  195  202  203  196	</Q>
68	<Q>  196  203  204  197	</Q>
69	<Q>  197  204  205  198	</Q>
70	<Q>  204  211  212  205	</Q>
71	<Q>  203  210  211  204	</Q>
72	<Q>  202  209  210  203	</Q>
73	<Q>  209  216  217  210	</Q>
74	<Q>  210  217  218  211	</Q>
75	<Q>  211  218  219  212	</Q>
76	<Q>  111  224  176   62	</Q>
77	<Q>  224  225  181  176	</Q>
78	<Q>  225  226  188  181	</Q>
79	<Q>  226  227  195  188	</Q>
80	<Q>  227  228  202  195	</Q>
81	<Q>  228  229  209  202	</Q>
82	<Q>  229  230  216  209	</Q>
</ELEMENTS>

<SURFACES NUMBER=50>
	1	1	4	<B>	w	</B>
	2	2	4	<B>	w	</B>
	3	3	4	<B>	w	</B>
	4	44	4	<B>	w	</B>
	5 	43	4	<B>	w	</B>
	6	42	4	<B>	w	</B>

	7	1	1	<B>	a	</B>
	8	4	1	<B>	a	</B>
	9	7	1	<B>	a	</B>
	10	10	1	<B>	a	</B>
	11	13	1	<B>	a	</B>
	12	17	1	<B>	a	</B>
	13	22	1	<B>	a	</B>
	14	23	1	<B>	a	</B>
	15	28	1	<B>	a	</B>
	16	29	1	<B>	a	</B>
	17	34	1	<B>	a	</B>

	18	42	3	<B>	a	</B>
	19	45	3	<B>	a	</B>
	20	48	3	<B>	a	</B>
	21	51	3	<B>	a	</B>
	22	54	3	<B>	a	</B>
	23	58	3	<B>	a	</B>
	24	63	3	<B>	a	</B>
	25	64	3	<B>	a	</B>
	26	69	3	<B>	a	</B>
	27	70	3	<B>	a	</B>
	28	75	3	<B>	a	</B>

	29	34	2	<B>	o	</B>
	30	33	2	<B>	o	</B>
	31	32	2	<B>	o	</B>
	32	41	2	<B>	o	</B>

	33	82	2	<B>	v	</B>
	34	73	2	<B>	v	</B>
	35	74	2	<B>	v	</B>
	36	75	2	<B>	v	</B>

	37	41	3	<B>	v	</B>
	38	40	3	<B>	v	</B>
	39	39	3	<B>	v	</B>
	40	38	3	<B>	v	</B>
	41	37	3	<B>	v	</B>
	42	36	3	<B>	v	</B>
	43	35	3	<B>	v	</B>

	44	76	1	<B>	v	</B>
	45	77	1	<B>	v	</B>
	46	78	1	<B>	v	</B>
	47	79	1	<B>	v	</B>
	48	80	1	<B>	v	</B>
	49	81	1	<B>	v	</B>
	50	82	1	<B>	v	</B>
</SURFACES>

<CURVES NUMBER=18
	1	1	4	<ARC>	-0.5	</ARC>
	2	2	4	<ARC>	-0.5	</ARC>
	3	3	4	<ARC>	-0.5	</ARC>
	4	44	4	<ARC>	-0.5	</ARC>
	5	43	4	<ARC>	-0.5	</ARC>
	6	42	4	<ARC>	-0.5	</ARC>
	7	1	2	<ARC>	+0.6	</ARC>
	8	2	2	<ARC>	+0.6	</ARC>
	9	3	2	<ARC>	+0.6	</ARC>
	10	44	2	<ARC>	+0.6	</ARC>
	11	43	2	<ARC>	+0.6	</ARC>
	12	42	2	<ARC>	+0.6	</ARC>
	13	4	4	<ARC>	-0.6	</ARC>
	14	5	4	<ARC>	-0.6	</ARC>
	15	6	4	<ARC>	-0.6	</ARC>
	16	47	4	<ARC>	-0.6	</ARC>
	17	46	4	<ARC>	-0.6	</ARC>
	18	45	4	<ARC>	-0.6	</ARC>
</CURVES>
