Benchmark # 1 -- runup on a uniformly sloping beach: 1-D problem.

Compute the snap shots of water-surface and velocity profiles at t = 160 sec., 175 
sec, and 220 sec.  
Also compute the temporal variations of the shoreline location (xs) and shoreline 
velocity (us) from 
t = 100 sec. to 280 sec.

Beach slope = 1/10

Initial water surface displacement, and velocity = 0, everywhere at t = 0.

x (m) 	eta (m)
0	0.001386879
50	0.001418557
100	0.001448675
150	0.001476851
200	0.001502653
250	0.001525595
300	0.001545127
350	0.001560637
400	0.001571436
450	0.001576752
500	0.001575726
550	0.0015674
600	0.001550705
650	0.001524456
700	0.001487337
750	0.001437888
800	0.001374497
850	0.001295378
900	0.001198562
950	0.00108188
1000	0.000942942
1050	0.000779122
1100	0.000587533
1150	0.000365013
1200	0.000108095
1250	-0.000187012
1300	-0.000524455
1350	-0.000908755
1400	-0.001344846
1450	-0.001838098
1500	-0.002394354
1550	-0.00301996
1600	-0.003721805
1650	-0.004507353
1700	-0.005384687
1750	-0.006362547
1800	-0.007450373
1850	-0.008658349
1900	-0.009997448
1950	-0.011479481
2000	-0.013117144
2050	-0.014924068
2100	-0.016914873
2150	-0.019105216
2200	-0.021511848
2250	-0.024152665
2300	-0.027046767
2350	-0.030214509
2400	-0.033677557
2450	-0.037458945
2500	-0.041583128
2550	-0.046076034
2600	-0.050965122
2650	-0.056279425
2700	-0.062049605
2750	-0.068307999
2800	-0.075088659
2850	-0.082427396
2900	-0.090361815
2950	-0.098931345
3000	-0.10817727
3050	-0.118142745
3100	-0.128872819
3150	-0.140414434
3200	-0.152816431
3250	-0.166129544
3300	-0.180406381
3350	-0.195701401
3400	-0.212070878
3450	-0.229572857
3500	-0.248267096
3550	-0.268215
3600	-0.289479539
3650	-0.312125157
3700	-0.336217664
3750	-0.361824121
3800	-0.389012704
3850	-0.417852558
3900	-0.44841364
3950	-0.480766537
4000	-0.514982285
4050	-0.55113216
4100	-0.589287466
4150	-0.629519299
4200	-0.671898307
4250	-0.716494437
4300	-0.763376645
4350	-0.812612645
4400	-0.8642686
4450	-0.918408824
4500	-0.975095469
4550	-1.034388211
4600	-1.096343923
4650	-1.161016343
4700	-1.228455744
4750	-1.298708591
4800	-1.371817204
4850	-1.447819424
4900	-1.526748269
4950	-1.608631608
5000	-1.693491827
5050	-1.781345512
5100	-1.872203133
5150	-1.966068741
5200	-2.062939676
5250	-2.162806291
5300	-2.265651683
5350	-2.371451433
5400	-2.480173427
5450	-2.59177757
5500	-2.70621564
5550	-2.823431106
5600	-2.94335898
5650	-3.06592569
5700	-3.191048978
5750	-3.318637827
5800	-3.448592406
5850	-3.58080405
5900	-3.715155257
5950	-3.851519724
6000	-3.989762401
6050	-4.129739578
6100	-4.271298998
6150	-4.414279999
6200	-4.558513686
6250	-4.703823128
6300	-4.850023589
6350	-4.996922778
6400	-5.144321137
6450	-5.292012151
6500	-5.439782687
6550	-5.58741336
6600	-5.734678926
6650	-5.881348704
6700	-6.02718702
6750	-6.171953678
6800	-6.315404461
6850	-6.457291647
6900	-6.597364561
6950	-6.735370141
7000	-6.871053531
7050	-7.004158697
7100	-7.13442906
7150	-7.261608157
7200	-7.385440311
7250	-7.505671328
7300	-7.622049208
7350	-7.73432487
7400	-7.842252895
7450	-7.945592275
7500	-8.044107177
7550	-8.137567719
7600	-8.225750741
7650	-8.308440589
7700	-8.385429907
7750	-8.456520381
7800	-8.521523565
7850	-8.580261612
7900	-8.632568033
7950	-8.678288437
8000	-8.717281245
8050	-8.749418381
8100	-8.774585933
8150	-8.792684782
8200	-8.803631188
8250	-8.807357334
8300	-8.803811821
8350	-8.792960111
8400	-8.774784909
8450	-8.74928648
8500	-8.716482902
8550	-8.676410242
8600	-8.629122662
8650	-8.574692438
8700	-8.513209897
8750	-8.444783276
8800	-8.369538491
8850	-8.287618787
8900	-8.199184364
8950	-8.104411852
9000	-8.003493726
9050	-7.896637634
9100	-7.784065634
9150	-7.666013357
9200	-7.542729099
9250	-7.414472831
9300	-7.28151516
9350	-7.144136223
9400	-7.002624539
9450	-6.857275816
9500	-6.708391729
9550	-6.55627867
9600	-6.401246492
9650	-6.243607241
9700	-6.083673894
9750	-5.921759116
9800	-5.758174032
9850	-5.593227037
9900	-5.427222643
9950	-5.26046037
10000	-5.093233695
10050	-4.925829065
10100	-4.758524964
10150	-4.591591061
10200	-4.42528743
10250	-4.259863844
10300	-4.095559149
10350	-3.932600726
10400	-3.77120402
10450	-3.611572165
10500	-3.453895679
10550	-3.298352239
10600	-3.145106536
10650	-2.994310197
10700	-2.846101782
10750	-2.700606845
10800	-2.557938053
10850	-2.418195373
10900	-2.281466301
10950	-2.147826147
11000	-2.01733836
11050	-1.890054895
11100	-1.76601661
11150	-1.645253691
11200	-1.527786148
11250	-1.413624219
11300	-1.302768919
11350	-1.195212528
11400	-1.090939108
11450	-0.989925023
11500	-0.892139465
11550	-0.797544971
11600	-0.706097946
11650	-0.617749174
11700	-0.532444323
11750	-0.450124438
11800	-0.37072642
11850	-0.2941835
11900	-0.220425684
11950	-0.149380187
12000	-0.080971874
12050	-0.015123622
12100	0.048243274
12150	0.109208742
12200	0.167853593
12250	0.224259202
12300	0.278507202
12350	0.330679203
12400	0.38085653
12450	0.429119979
12500	0.475549594
12550	0.520224462
12600	0.563222526
12650	0.604620415
12700	0.644493293
12750	0.682914725
12800	0.719956554
12850	0.755688801
12900	0.790179575
12950	0.823494994
13000	0.855699125
13050	0.886853934
13100	0.917019246
13150	0.946252721
13200	0.974609831
13250	1.002143855
13300	1.028905882
13350	1.054944815
13400	1.08030739
13450	1.105038199
13500	1.129179719
13550	1.152772344
13600	1.175854426
13650	1.19846232
13700	1.220630429
13750	1.242391253
13800	1.263775447
13850	1.284811872
13900	1.305527654
13950	1.325948243
14000	1.346097472
14050	1.365997618
14100	1.385669461
14150	1.40513235
14200	1.424404255
14250	1.443501836
14300	1.462440499
14350	1.481234451
14400	1.499896764
14450	1.518439428
14500	1.536873406
14550	1.555208689
14600	1.573454347
14650	1.591618579
14700	1.609708764
14750	1.627731507
14800	1.645692682
14850	1.663597478
14900	1.681450441
14950	1.699255512
15000	1.717016065
15050	1.734734946
15100	1.752414505
15150	1.770056627
15200	1.787662769
15250	1.805233984
15300	1.82277095
15350	1.840273998
15400	1.857743134
15450	1.875178066
15500	1.892578223
15550	1.909942775
15600	1.927270656
15650	1.944560578
15700	1.961811051
15750	1.979020396
15800	1.996186764
15850	2.013308145
15900	2.030382385
15950	2.047407193
16000	2.064380161
16050	2.081298763
16100	2.098160374
16150	2.114962276
16200	2.131701664
16250	2.148375657
16300	2.164981307
16350	2.181515598
16400	2.197975461
16450	2.214357776
16500	2.230659377
16550	2.246877059
16600	2.26300758
16650	2.27904767
16700	2.294994031
16750	2.310843342
16800	2.326592264
16850	2.342237442
16900	2.35777551
16950	2.373203091
17000	2.388516803
17050	2.403713262
17100	2.41878908
17150	2.433740874
17200	2.448565264
17250	2.463258875
17300	2.477818341
17350	2.492240309
17400	2.506521436
17450	2.520658395
17500	2.534647874
17550	2.54848658
17600	2.562171241
17650	2.575698605
17700	2.589065444
17750	2.602268555
17800	2.615304762
17850	2.628170916
17900	2.640863898
17950	2.65338062
18000	2.665718025
18050	2.677873093
18100	2.689842836
18150	2.701624304
18200	2.713214585
18250	2.724610805
18300	2.735810131
18350	2.746809772
18400	2.757606981
18450	2.768199051
18500	2.778583325
18550	2.788757189
18600	2.798718078
18650	2.808463476
18700	2.817990916
18750	2.827297982
18800	2.83638231
18850	2.845241588
18900	2.853873559
18950	2.862276021
19000	2.870446825
19050	2.878383883
19100	2.886085162
19150	2.893548687
19200	2.900772544
19250	2.907754877
19300	2.914493892
19350	2.920987859
19400	2.927235105
19450	2.933234026
19500	2.938983077
19550	2.944480781
19600	2.949725724
19650	2.954716558
19700	2.959452001
19750	2.963930838
19800	2.968151923
19850	2.972114175
19900	2.975816582
19950	2.979258201
20000	2.982438159
20050	2.985355651
20100	2.98800994
20150	2.990400364
20200	2.992526325
20250	2.9943873
20300	2.995982835
20350	2.997312547
20400	2.998376124
20450	2.999173324
20500	2.999703978
20550	2.999967986
20600	2.999965321
20650	2.999696026
20700	2.999160217
20750	2.998358077
20800	2.997289863
20850	2.995955903
20900	2.994356594
20950	2.992492403
21000	2.990363869
21050	2.987971598
21100	2.985316269
21150	2.982398627
21200	2.979219488
21250	2.975779735
21300	2.972080318
21350	2.968122258
21400	2.96390664
21450	2.959434617
21500	2.954707406
21550	2.949726292
21600	2.944492623
21650	2.939007812
21700	2.933273336
21750	2.927290733
21800	2.921061605
21850	2.914587616
21900	2.907870488
21950	2.900912004
22000	2.893714009
22050	2.886278402
22100	2.878607142
22150	2.870702244
22200	2.862565779
22250	2.854199872
22300	2.845606703
22350	2.836788504
22400	2.827747559
22450	2.818486204
22500	2.809006824
22550	2.799311854
22600	2.789403774
22650	2.779285116
22700	2.768958452
22750	2.758426404
22800	2.747691633
22850	2.736756847
22900	2.72562479
22950	2.714298252
23000	2.702780057
23050	2.691073071
23100	2.679180194
23150	2.667104362
23200	2.654848547
23250	2.642415751
23300	2.629809013
23350	2.617031396
23400	2.604085999
23450	2.590975945
23500	2.577704385
23550	2.564274497
23600	2.550689483
23650	2.536952567
23700	2.523066996
23750	2.509036039
23800	2.494862982
23850	2.480551132
23900	2.466103811
23950	2.451524357
24000	2.436816124
24050	2.421982477
24100	2.407026795
24150	2.391952467
24200	2.376762891
24250	2.361461475
24300	2.346051632
24350	2.330536781
24400	2.314920348
24450	2.299205759
24500	2.283396444
24550	2.267495835
24600	2.251507362
24650	2.235434454
24700	2.219280538
24750	2.203049036
24800	2.186743366
24850	2.17036694
24900	2.153923164
24950	2.137415433
25000	2.120847134
25050	2.104221643
25100	2.087542326
25150	2.070812535
25200	2.054035608
25250	2.037214869
25300	2.020353625
25350	2.003455168
25400	1.986522771
25450	1.969559689
25500	1.952569155
25550	1.935554385
25600	1.918518571
25650	1.901464882
25700	1.884396465
25750	1.867316442
25800	1.85022791
25850	1.83313394
25900	1.816037576
25950	1.798941834
26000	1.781849703
26050	1.764764141
26100	1.747688077
26150	1.73062441
26200	1.713576006
26250	1.696545701
26300	1.679536296
26350	1.662550559
26400	1.645591227
26450	1.628660998
26500	1.611762539
26550	1.594898478
26600	1.578071408
26650	1.561283886
26700	1.544538431
26750	1.527837523
26800	1.511183606
26850	1.494579083
26900	1.478026321
26950	1.461527644
27000	1.44508534
27050	1.428701653
27100	1.412378788
27150	1.396118911
27200	1.379924144
27250	1.363796569
27300	1.347738226
27350	1.331751115
27400	1.31583719
27450	1.299998367
27500	1.284236516
27550	1.268553468
27600	1.252951008
27650	1.23743088
27700	1.221994785
27750	1.206644381
27800	1.191381282
27850	1.176207061
27900	1.161123246
27950	1.146131323
28000	1.131232734
28050	1.116428881
28100	1.101721119
28150	1.087110763
28200	1.072599084
28250	1.058187312
28300	1.043876633
28350	1.029668191
28400	1.015563088
28450	1.001562384
28500	0.987667098
28550	0.973878206
28600	0.960196644
28650	0.946623306
28700	0.933159047
28750	0.919804678
28800	0.906560973
28850	0.893428665
28900	0.880408447
28950	0.867500972
29000	0.854706856
29050	0.842026675
29100	0.829460966
29150	0.817010231
29200	0.80467493
29250	0.79245549
29300	0.7803523
29350	0.76836571
29400	0.756496039
29450	0.744743567
29500	0.733108539
29550	0.721591168
29600	0.710191629
29650	0.698910068
29700	0.687746594
29750	0.676701284
29800	0.665774186
29850	0.654965311
29900	0.644274643
29950	0.633702133
30000	0.623247703
30050	0.612911246
30100	0.602692623
30150	0.592591668
30200	0.582608189
30250	0.572741963
30300	0.562992741
30350	0.553360248
30400	0.543844184
30450	0.534444221
30500	0.525160009
30550	0.51599117
30600	0.506937307
30650	0.497997995
30700	0.48917279
30750	0.480461223
30800	0.471862806
30850	0.463377028
30900	0.455003358
30950	0.446741246
31000	0.438590122
31050	0.430549396
31100	0.422618462
31150	0.414796694
31200	0.40708345
31250	0.399478071
31300	0.391979882
31350	0.384588193
31400	0.377302298
31450	0.370121476
31500	0.363044993
31550	0.356072102
31600	0.349202042
31650	0.342434038
31700	0.335767307
31750	0.329201052
31800	0.322734465
31850	0.316366727
31900	0.310097012
31950	0.30392448
32000	0.297848286
32050	0.291867575
32100	0.285981483
32150	0.28018914
32200	0.274489668
32250	0.268882181
32300	0.263365791
32350	0.257939599
32400	0.252602704
32450	0.247354198
32500	0.242193171
32550	0.237118706
32600	0.232129885
32650	0.227225784
32700	0.222405478
32750	0.217668039
32800	0.213012537
32850	0.208438039
32900	0.203943613
32950	0.199528323
33000	0.195191234
33050	0.190931411
33100	0.186747918
33150	0.18263982
33200	0.178606182
33250	0.17464607
33300	0.170758552
33350	0.166942696
33400	0.163197575
33450	0.159522259
33500	0.155915825
33550	0.152377351
33600	0.148905918
33650	0.14550061
33700	0.142160514
33750	0.138884723
33800	0.13567233
33850	0.132522435
33900	0.129434142
33950	0.126406559
34000	0.1234388
34050	0.120529981
34100	0.117679227
34150	0.114885667
34200	0.112148433
34250	0.109466666
34300	0.106839512
34350	0.104266122
34400	0.101745655
34450	0.099277274
34500	0.096860151
34550	0.094493463
34600	0.092176394
34650	0.089908134
34700	0.087687883
34750	0.085514845
34800	0.083388232
34850	0.081307265
34900	0.079271169
34950	0.07727918
35000	0.07533054
35050	0.073424497
35100	0.071560311
35150	0.069737245
35200	0.067954573
35250	0.066211576
35300	0.064507542
35350	0.062841768
35400	0.06121356
35450	0.05962223
35500	0.058067099
35550	0.056547497
35600	0.05506276
35650	0.053612234
35700	0.052195273
35750	0.05081124
35800	0.049459503
35850	0.048139441
35900	0.046850441
35950	0.045591897
36000	0.044363213
36050	0.043163799
36100	0.041993075
36150	0.040850469
36200	0.039735416
36250	0.038647359
36300	0.037585751
36350	0.036550051
36400	0.035539728
36450	0.034554257
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