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["Example 4-5.  Bedient P 257"]
[]
["Dt",{"$f":"A22-A21","v":2},"min"]
[null,{"$f":"B3*60","v":120},"sec"]
["h","S","2*S/Dt+Q","Q"]
["(ft)","(ft^3)","cfs","cfs"]
[0,0,{"$f":"2*B7/$B$4+D7","v":0},0]
[1,6772,125.86666666666666,13]
[2,15161,270.68333333333334,18]
[3,25310,443.83333333333331,22]
[4,37361,648.68333333333328,26]
[5,51457,886.61666666666667,29]
[5.5,59173,1036.2166666666667,50]
[6,67167,1206.45,87]
[6.5,75443,1393.3833333333334,136]
[7,84006,1593.1,193]
[]
["Row considered at time n+1"]
["Time","Inflow","I(n)+I(n+1)","2S/Dt-Q","2S/Dt+Q","Q","S"]
["min","cfs","cfs"]
[0,0,0,0,0,0,0]
[2,4,{"$f":"B21+B22","v":4},{"$f":"2*G21/$B$4-F21","v":0},{"$f":"D22+C22","v":4},{"$f":"Linterp($C$7:$D$16,E22)","v":0.41313559322033899},{"$f":"(E22-F22)*$B$4/2","v":215.21186440677965}]
[4,8,{"$f":"B22+B23","v":12},{"$f":"2*G22/$B$4-F22","v":3.1737288135593218},{"$f":"D23+C23","v":15.173728813559322},{"$f":"Linterp($C$7:$D$16,E23)","v":1.5672018636885952},{"$f":"(E23-F23)*$B$4/2","v":816.3916169922436},null,null,"Runga-Kutta"]
[6,12,20,12.039325086182131,32.039325086182131,3.3091463939647863,1723.8107215330406,null,null,"h","A","h","Q",null,"S"]
[8,16,28,25.421032298252555,53.421032298252555,5.5175324672453652,2874.2099898604315,null,null,"(ft)","ft^2","(ft)","cfs",null,"(ft^3)"]
[10,20,36,42.385967363761822,78.385967363761822,8.096008281744469,4217.3975449210411,null,null,0,6000,0,0,null,0]
[12,24,44,62.19395080027288,106.19395080027289,10.968125215070557,5713.5495351121399,null,null,1,7545,1,13,null,6772]
[14,28,52,84.257700370131772,136.25770037013177,13.358765118084881,7373.936115122814,null,null,2,9233,2,18,null,15161]
[16,32,60,109.54017013396202,169.54017013396202,14.507889405016527,9301.9368437367302,null,null,3,11064,3,22,null,25310]
[18,36,68,140.52439132392897,208.52439132392897,15.853874714832397,11560.230996545795,null,null,4,13038,4,26,null,37361]
[20,40,76,176.81664189426419,252.81664189426419,17.383127237688946,14126.010879394515,null,null,5,15155,5,29,null,51457]
[22,44,84,218.05038741888632,302.05038741888632,18.724621520890626,16999.54595387974,null,null,5.5,15707,5.5,50,null,59173]
[24,48,92,264.60114437710502,356.60114437710502,19.984818043171163,20196.97958003603,null,null,6,16268,6,87,null,67167]
[26,52,100,316.63150829076267,416.63150829076267,21.371600923070847,23715.594442061509,null,null,6.5,16873,6.5,136,null,75443]
[28,56,108,373.88830644462098,481.88830644462098,22.743079777618505,27548.71360002015,null,null,7,17416,7,193,null,84006]
[30,60,116,436.40214688938397,552.40214688938397,24.119967069681245,31696.930789182163]
[32,58,118,504.16221275002147,622.16221275002147,25.482135795297793,35800.804617283415,null,null,"Row considered at time n+1"]
[34,56,114,571.1979411594258,685.1979411594258,26.46039712865625,39524.252641846171,null,null,"Time","Inflow","f(H_n,t_n)","DH1","f(H+DH1)","DH2","DH","H","Q","A"]
[36,54,110,632.27714690211326,742.27714690211326,27.180084508432362,42905.823743620851,null,null,"min","cfs",null,null,null,null,null,"ft","cfs","ft^2"]
[38,52,106,687.91697788524846,793.91697788524846,27.831189129962507,45965.147325317157,null,null,0,0,null,null,null,null,null,0,{"$f":"Linterp($L$26:$M$35,Q40)","v":0},{"$f":"Linterp($J$26:$K$35,Q40)","v":6000}]
[40,50,102,738.25459962532352,840.25459962532352,28.415440454788332,48710.349550232109,null,null,2,4,{"$f":"(K40-R40)/S40","v":0},{"$f":"L41*$B$4","v":0},{"$f":"(K41-Linterp($L$26:$M$35,Q40+M41))/Linterp($J$26:$K$35,Q40+M41)","v":6.6666666666666664E-4},{"$f":"N41*$B$4","v":0.08},{"$f":"(M41+O41)/2","v":0.04},{"$f":"Q40+P41","v":0.04},{"$f":"Linterp($L$26:$M$35,Q41)","v":0.52},{"$f":"Linterp($J$26:$K$35,Q41)","v":6061.8}]
[42,48,98,783.42371871574676,881.42371871574676,28.934524332364418,51149.351663002941,null,null,4,8,{"$f":"(K41-R41)/S41","v":5.7408690487973865E-4},{"$f":"L42*$B$4","v":6.8890428585568639E-2},{"$f":"(K42-Linterp($L$26:$M$35,Q41+M42))/Linterp($J$26:$K$35,Q41+M42)","v":1.0674728942997617E-3},{"$f":"N42*$B$4","v":0.1280967473159714},{"$f":"(M42+O42)/2","v":9.8493587950770012E-2},{"$f":"Q41+P42","v":0.13849358795077002},{"$f":"Linterp($L$26:$M$35,Q42)","v":1.8004166433600102},{"$f":"Linterp($J$26:$K$35,Q42)","v":6213.97259338394}]
[44,46,94,823.55467005101798,917.55467005101798,33.342901544594767,53052.706110385392,null,null,6,12,9.9768437396082648E-4,0.11972212487529918,{"$f":"(K43-Linterp($L$26:$M$35,Q42+M43))/Linterp($J$26:$K$35,Q42+M43)","v":1.3507223552443783E-3},0.16208668262932541,0.14090440375231228,0.27939799170308233,3.6321738921400701,6431.6698971812621]
[46,44,90,850.86886696182853,940.86886696182853,36.615616351593573,54255.195036614103,null,null,8,16,1.301034761054389E-3,0.15612417132652667,{"$f":"(K44-Linterp($L$26:$M$35,Q43+M44))/Linterp($J$26:$K$35,Q43+M44)","v":1.5492874413957872E-3},0.18591449296749446,0.17101933214701057,0.45041732385009292,5.8554252100512079,6695.8947653483938]
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[54,36,74,880.3549223735024,954.3549223735024,38.508712365264373,54950.772600494282,null,null,16,32,1.91040133050578E-3,0.22924815966069359,{"$f":"(K48-Linterp($L$26:$M$35,Q47+M48))/Linterp($J$26:$K$35,Q47+M48)","v":2.1729976796523824E-3},0.26075972155828586,0.24500394060948971,1.3162549124696341,14.58127456234817,8078.8382922487426]
[56,34,70,877.33749764297363,947.33749764297363,37.523646059508323,54588.831095007918,null,null,18,36,2.1560928449780039E-3,0.25873114139736048,{"$f":"(K49-Linterp($L$26:$M$35,Q48+M49))/Linterp($J$26:$K$35,Q48+M49)","v":2.363324412355722E-3},0.28359892948268667,0.27116503544002357,1.5874199479096576,15.937099739548287,8536.5648720715017]
[58,32,66,872.29020552395696,938.29020552395696,36.253638475956521,54122.194022880023,null,null,20,40,2.3502311012817507E-3,0.28202773215381011,{"$f":"(K50-Linterp($L$26:$M$35,Q49+M50))/Linterp($J$26:$K$35,Q49+M50)","v":2.5134469539921959E-3},0.30161363447906353,0.29182068331643685,1.8792406312260943,17.396203156130472,9029.1581855096465]
[60,30,62,865.78292857204383,927.78292857204383,34.778686497412565,53580.254524477874,null,null,22,44,2.5034223987951618E-3,0.30041068785541941,{"$f":"(K51-Linterp($L$26:$M$35,Q50+M51))/Linterp($J$26:$K$35,Q50+M51)","v":2.6439603872484047E-3},0.31727524646980854,0.30884296716261395,2.1880835983887081,18.752334393554833,9577.3810686497254]
[62,28,58,858.22555557721864,916.22555557721864,33.156327988780689,52984.153655306276,null,null,24,48,2.6361763644437227E-3,0.31634116373324672,{"$f":"(K52-Linterp($L$26:$M$35,Q51+M52))/Linterp($J$26:$K$35,Q51+M52)","v":2.7550849850533203E-3},0.33061019820639842,0.3234756809698226,2.5115592793585306,20.046237117434124,10169.66504050547]
[64,26,54,849.91289959965718,903.91289959965718,31.427947136315513,52349.097147800501,null,null,26,52,2.7487397835845016E-3,0.32984877403014018,{"$f":"(K53-Linterp($L$26:$M$35,Q52+M53))/Linterp($J$26:$K$35,Q52+M53)","v":2.8434614418292514E-3},0.34121537301951016,0.33553207352482517,2.8470913528833557,21.388365411533421,10784.024267129424]
[66,24,50,841.0570053270261,891.0570053270261,29.623309571307139,51686.02174534314,null,null,28,56,2.8386095793361031E-3,0.34063314952033236,{"$f":"(K54-Linterp($L$26:$M$35,Q53+M54))/Linterp($J$26:$K$35,Q53+M54)","v":2.9077706742066342E-3},0.34893248090479612,0.34478281521256426,3.1918741680959197,22.767496672383679,11442.759607821346]
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[70,20,42,820.03245545967195,862.03245545967195,28.690028157939267,50000.545638103955,null,null,32,58,2.9519212706953027E-3,0.35423055248343632,{"$f":"(K56-Linterp($L$26:$M$35,Q55+M56))/Linterp($J$26:$K$35,Q55+M56)","v":2.5249114595130803E-3},0.30298937514156965,0.32860996381250296,3.8719998843833432,25.487999537533373,12785.32777177272]
[72,18,38,804.65239914379322,842.65239914379322,28.445673287046986,48852.403551404779,null,null,34,56,2.542914897672487E-3,0.30514978772069845,{"$f":"(K57-Linterp($L$26:$M$35,Q56+M57))/Linterp($J$26:$K$35,Q56+M57)","v":2.1970099290346172E-3},0.26364119148415405,0.28439548960242622,4.1563953739857693,26.469186121957307,13369.089006727874]
[74,16,34,785.76105256969936,819.76105256969936,28.157046053694724,47496.24039096028,null,null,36,54,2.2088875212949496E-3,0.26506650255539393,{"$f":"(K58-Linterp($L$26:$M$35,Q57+M58))/Linterp($J$26:$K$35,Q57+M58)","v":1.9192508072086998E-3},0.23031009686504397,0.24768829971021894,4.4040836736959879,27.212251021087965,13893.445137214407]
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[80,10,22,708.89361062630269,730.89361062630269,27.036554350849993,42231.423376527164,null,null,42,48,1.4626668378709415E-3,0.17552002054451299,{"$f":"(K61-Linterp($L$26:$M$35,Q60+M61))/Linterp($J$26:$K$35,Q60+M61)","v":1.2596403313765013E-3},0.15115683976518016,0.16333843015484656,4.9719626419267415,28.915887925780225,15095.644912958913]
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