diff --git a/src/ODESolver.jl b/src/ODESolver.jl index 038e4bb..f73eeb4 100644 --- a/src/ODESolver.jl +++ b/src/ODESolver.jl @@ -129,22 +129,26 @@ function rk4_new!(f::Function, levf) @. u_p = u * 1.0 lev.time = t f(lev, k1, u; interior_only = true) - @. u += k1 * (dt / 6) + @. k1 *= dt + @. u += k1 * (1 / 6) - @. w = u_p + k1 * (dt / 2) + @. w = u_p + k1 * (1 / 2) lev.time = t + 0.5 * dt f(lev, k2, w; interior_only = true) - @. u += k2 * (dt / 3) + @. k2 *= dt + @. u += k2 * (1 / 3) - @. w = u_p + k2 * (dt / 2) + @. w = u_p + k2 * (1 / 2) lev.time = t + 0.5 * dt f(lev, k3, w; interior_only = true) - @. u += k3 * (dt / 3) + @. k3 *= dt + @. u += k3 * (1 / 3) - @. w = u_p + k3 * dt + @. w = u_p + k3 lev.time = t + dt f(lev, k4, w; interior_only = true) - @. u += k4 * (dt / 6) + @. k4 *= dt + @. u += k4 * (1 / 6) lev.time = t + dt end diff --git a/src/Sync.jl b/src/Sync.jl index 81c3001..0742242 100644 --- a/src/Sync.jl +++ b/src/Sync.jl @@ -25,7 +25,7 @@ function Prolongation_new(gfs, l, interp_in_time::Bool; ord_s = 3) f = (j == 1) ? i : nxa - i + 1 c = if2c[f] if aligned[f] - kcs = [levc.k[m][v][c] * dtc for m = 1:4] + kcs = [levc.k[m][v][c] for m = 1:4] kfs = calc_kfs_from_kcs(kcs, dtc, interp_in_time) # setting k for m = 1:3 @@ -37,7 +37,7 @@ function Prolongation_new(gfs, l, interp_in_time::Bool; ord_s = 3) kfss = zeros(Float64, 3, 4) ys = zeros(Float64, 4) for ic = 1:4 - kcs = [levc.k[m][v][c+ic-2] * dtc for m = 1:4] + kcs = [levc.k[m][v][c+ic-2] for m = 1:4] kfss[:, ic] = calc_kfs_from_kcs(kcs, dtc, interp_in_time) ys[ic] = interp_in_time ? DenseOutput.y(0.5, uc_p[c+ic-2], kcs) : diff --git a/test/integration/scalarwave_3levels_Mongwane/u.it000010.tsv b/test/integration/scalarwave_3levels_Mongwane/u.it000010.tsv index 9c496b3..de44115 100644 --- a/test/integration/scalarwave_3levels_Mongwane/u.it000010.tsv +++ b/test/integration/scalarwave_3levels_Mongwane/u.it000010.tsv @@ -1,216 +1,216 @@ # 1:iteation 2:time 3:level 4:i 5:x 6:psi 7:Pi -10 0.19999999999999998 1 1 -4.16 2.420884603886829e-63 4.048800857857781e-61 -10 0.19999999999999998 1 2 -4.08 -5.546623911054777e-65 -2.4465747368194816e-62 -10 0.19999999999999998 1 3 -4.0 -5.546623911057437e-65 -2.446574736819947e-62 -10 0.19999999999999998 1 4 -3.92 2.4208846038911904e-63 4.0488008578748656e-61 -10 0.19999999999999998 1 5 -3.84 7.567348064121361e-61 2.5167835631636887e-58 -10 0.19999999999999998 1 6 -3.76 1.1234894927604925e-59 5.805100385627738e-57 -10 0.19999999999999998 1 7 -3.6799999999999997 -5.724373639643406e-57 -1.5588225210493387e-54 -10 0.19999999999999998 1 8 -3.6000000000000005 -2.471750084826946e-55 -6.787898070110321e-53 -10 0.19999999999999998 1 9 -3.5200000000000005 2.5913588120559565e-53 5.479026827529151e-51 -10 0.19999999999999998 1 10 -3.44 1.6769500026345725e-51 3.721527277249458e-49 -10 0.19999999999999998 1 11 -3.3600000000000003 -4.74123870642131e-50 -3.130985336666072e-48 -10 0.19999999999999998 1 12 -3.2800000000000002 -7.058857657883225e-48 -1.5104296324693358e-45 -10 0.19999999999999998 1 13 -3.2 -1.988772518591192e-46 -6.837417952402947e-44 -10 0.19999999999999998 1 14 -3.12 2.365154115630529e-44 5.377037863232218e-42 -10 0.19999999999999998 1 15 -3.04 1.7401031629372204e-42 3.6941689931169964e-40 -10 0.19999999999999998 1 16 -2.9600000000000004 -6.954235259744946e-41 -1.607427882687447e-38 -10 0.19999999999999998 1 17 -2.88 -6.333291475328009e-39 -1.0585973808691001e-36 -10 0.19999999999999998 1 18 -2.8000000000000003 1.6970538868908748e-37 3.6834970975802505e-35 -10 0.19999999999999998 1 19 -2.7199999999999998 1.4656445456579133e-35 2.0261675146876505e-33 -10 0.19999999999999998 1 20 -2.6399999999999997 -3.1673523060627118e-34 -6.20800757481005e-32 -10 0.19999999999999998 1 21 -2.5600000000000005 -2.3950758995571476e-32 -2.8019318362184232e-30 -10 0.19999999999999998 1 22 -2.4800000000000004 4.3253200761423635e-31 7.62152128332481e-29 -10 0.19999999999999998 1 23 -2.4 2.8923919933338977e-29 2.9104152838338723e-27 -10 0.19999999999999998 1 24 -2.3200000000000003 -4.212886810019547e-28 -6.784547122803e-26 -10 0.19999999999999998 1 25 -2.2399999999999998 -2.6354282792899836e-26 -2.314958614386086e-24 -10 0.19999999999999998 1 26 -2.16 2.8171252626773975e-25 4.313534645977893e-23 -10 0.19999999999999998 1 27 -2.08 1.8183983488248722e-23 1.4152950986486949e-21 -10 0.19999999999999998 1 28 -2.0 -1.163643577331492e-22 -1.8771334898120464e-20 -10 0.19999999999999998 1 29 -1.9200000000000006 -9.374349082516862e-21 -6.564866837757436e-19 -10 0.19999999999999998 1 30 -1.8399999999999999 1.68841259619857e-20 4.9376470759204966e-18 -10 0.19999999999999998 1 31 -1.7600000000000005 3.480815505303361e-18 2.230532186245317e-16 -10 0.19999999999999998 1 32 -1.68 1.0728416753076631e-17 -3.795279479900577e-16 -10 0.19999999999999998 1 33 -1.5999999999999999 -8.568188862354057e-16 -5.1484254864045127e-14 -10 0.19999999999999998 1 34 -1.5200000000000002 -7.486565243066977e-15 -2.2142755951993478e-13 -10 0.19999999999999998 1 35 -1.4400000000000002 1.0895704656910364e-13 6.60205881111832e-12 -10 0.19999999999999998 1 36 -1.3599999999999997 2.052275003818112e-12 8.191145759775479e-11 -10 0.19999999999999998 1 37 -1.2800000000000002 3.5218949859337175e-12 -2.8109758955196725e-11 +10 0.19999999999999998 1 1 -4.16 2.4208846038868278e-63 4.048800857857784e-61 +10 0.19999999999999998 1 2 -4.08 -5.546623911054774e-65 -2.4465747368194807e-62 +10 0.19999999999999998 1 3 -4.0 -5.546623911057432e-65 -2.4465747368199445e-62 +10 0.19999999999999998 1 4 -3.92 2.4208846038911834e-63 4.0488008578748476e-61 +10 0.19999999999999998 1 5 -3.84 7.567348064121357e-61 2.516783563163687e-58 +10 0.19999999999999998 1 6 -3.76 1.1234894927604938e-59 5.805100385627743e-57 +10 0.19999999999999998 1 7 -3.6799999999999997 -5.7243736396434e-57 -1.5588225210493372e-54 +10 0.19999999999999998 1 8 -3.6000000000000005 -2.471750084826945e-55 -6.787898070110318e-53 +10 0.19999999999999998 1 9 -3.5200000000000005 2.5913588120559528e-53 5.479026827529146e-51 +10 0.19999999999999998 1 10 -3.44 1.676950002634572e-51 3.721527277249456e-49 +10 0.19999999999999998 1 11 -3.3600000000000003 -4.741238706421306e-50 -3.1309853366660756e-48 +10 0.19999999999999998 1 12 -3.2800000000000002 -7.058857657883218e-48 -1.510429632469334e-45 +10 0.19999999999999998 1 13 -3.2 -1.9887725185911895e-46 -6.837417952402942e-44 +10 0.19999999999999998 1 14 -3.12 2.3651541156305265e-44 5.377037863232212e-42 +10 0.19999999999999998 1 15 -3.04 1.740103162937219e-42 3.694168993116994e-40 +10 0.19999999999999998 1 16 -2.9600000000000004 -6.954235259744938e-41 -1.6074278826874454e-38 +10 0.19999999999999998 1 17 -2.88 -6.333291475328004e-39 -1.0585973808690993e-36 +10 0.19999999999999998 1 18 -2.8000000000000003 1.6970538868908733e-37 3.683497097580248e-35 +10 0.19999999999999998 1 19 -2.7199999999999998 1.4656445456579123e-35 2.0261675146876488e-33 +10 0.19999999999999998 1 20 -2.6399999999999997 -3.167352306062709e-34 -6.208007574810046e-32 +10 0.19999999999999998 1 21 -2.5600000000000005 -2.395075899557146e-32 -2.8019318362184215e-30 +10 0.19999999999999998 1 22 -2.4800000000000004 4.325320076142361e-31 7.621521283324803e-29 +10 0.19999999999999998 1 23 -2.4 2.892391993333895e-29 2.9104152838338687e-27 +10 0.19999999999999998 1 24 -2.3200000000000003 -4.212886810019543e-28 -6.784547122802993e-26 +10 0.19999999999999998 1 25 -2.2399999999999998 -2.6354282792899807e-26 -2.3149586143860833e-24 +10 0.19999999999999998 1 26 -2.16 2.8171252626773947e-25 4.313534645977889e-23 +10 0.19999999999999998 1 27 -2.08 1.8183983488248704e-23 1.4152950986486932e-21 +10 0.19999999999999998 1 28 -2.0 -1.1636435773314903e-22 -1.8771334898120437e-20 +10 0.19999999999999998 1 29 -1.9200000000000006 -9.374349082516853e-21 -6.564866837757431e-19 +10 0.19999999999999998 1 30 -1.8399999999999999 1.6884125961985642e-20 4.937647075920487e-18 +10 0.19999999999999998 1 31 -1.7600000000000005 3.480815505303358e-18 2.230532186245316e-16 +10 0.19999999999999998 1 32 -1.68 1.072841675307664e-17 -3.7952794799005617e-16 +10 0.19999999999999998 1 33 -1.5999999999999999 -8.568188862354051e-16 -5.148425486404509e-14 +10 0.19999999999999998 1 34 -1.5200000000000002 -7.486565243066979e-15 -2.2142755951993488e-13 +10 0.19999999999999998 1 35 -1.4400000000000002 1.0895704656910358e-13 6.602058811118317e-12 +10 0.19999999999999998 1 36 -1.3599999999999997 2.0522750038181116e-12 8.191145759775478e-11 +10 0.19999999999999998 1 37 -1.2800000000000002 3.521894985933718e-12 -2.810975895519678e-11 10 0.19999999999999998 1 38 -1.1999999999999995 -2.2523423277279307e-10 -9.754311860463698e-9 -10 0.19999999999999998 1 39 -1.12 -3.0928213294208967e-9 -1.1374569985961125e-7 -10 0.19999999999999998 1 40 -1.04 -1.2193169475937746e-8 -3.6203660445249066e-7 -10 0.19999999999999998 1 41 -0.96 2.2102731617024207e-7 8.545316566479646e-6 -10 0.19999999999999998 1 42 -0.8800000000000006 4.371463527031063e-6 0.0001504949791009123 -10 0.19999999999999998 1 43 -0.7999999999999998 5.9515203462286646e-5 0.0018008558334883565 -10 0.19999999999999998 1 44 -0.7200000000000004 0.0005734223078983211 0.014994923226056892 -10 0.19999999999999998 1 45 -0.6399999999999999 0.003929262024733493 0.08608011712669461 -10 0.19999999999999998 1 46 -0.5599999999999998 0.01931817104982325 0.3465743706930056 -10 0.19999999999999998 1 47 -0.4800000000000002 0.0692768705283362 0.9665555670654018 -10 0.19999999999999998 1 48 -0.40000000000000013 0.1837702574728439 1.8320619225563528 -10 0.19999999999999998 1 49 -0.3199999999999996 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0.19999999999999998 1 61 0.6399999999999997 0.0039292620247334915 0.08608011712669457 -10 0.19999999999999998 1 62 0.7200000000000004 0.000573422307898321 0.014994923226056892 -10 0.19999999999999998 1 63 0.7999999999999998 5.9515203462286693e-5 0.0018008558334883557 -10 0.19999999999999998 1 64 0.8799999999999999 4.3714635270310945e-6 0.00015049497910091331 -10 0.19999999999999998 1 65 0.9600000000000002 2.2102731617024157e-7 8.545316566479668e-6 -10 0.19999999999999998 1 66 1.04 -1.2193169475937966e-8 -3.620366044525016e-7 -10 0.19999999999999998 1 67 1.1199999999999999 -3.0928213294208983e-9 -1.1374569985961174e-7 -10 0.19999999999999998 1 68 1.2000000000000002 -2.25234232772792e-10 -9.754311860463641e-9 -10 0.19999999999999998 1 69 1.2800000000000002 3.5218949859337195e-12 -2.8109758955194324e-11 -10 0.19999999999999998 1 70 1.3599999999999997 2.0522750038181055e-12 8.191145759775447e-11 -10 0.19999999999999998 1 71 1.4400000000000004 1.0895704656910357e-13 6.6020588111183054e-12 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100644 --- a/test/integration/scalarwave_3levels_Mongwane/u.it000020.tsv +++ b/test/integration/scalarwave_3levels_Mongwane/u.it000020.tsv @@ -1,216 +1,216 @@ # 1:iteation 2:time 3:level 4:i 5:x 6:psi 7:Pi -20 0.4000000000000001 1 1 -4.16 3.083544738422466e-48 2.5888866386702183e-46 -20 0.4000000000000001 1 2 -4.08 7.995520768867331e-50 1.2570966242013864e-47 -20 0.4000000000000001 1 3 -4.0 7.995520768867451e-50 1.2570966242013966e-47 -20 0.4000000000000001 1 4 -3.92 3.083544738422452e-48 2.588886638670194e-46 -20 0.4000000000000001 1 5 -3.84 -8.474431046384847e-47 -1.1992999282426327e-44 -20 0.4000000000000001 1 6 -3.76 -2.614381894714008e-45 -1.939698115882012e-43 -20 0.4000000000000001 1 7 -3.6799999999999997 7.434358876773306e-44 9.653496700723422e-42 -20 0.4000000000000001 1 8 -3.6000000000000005 1.9462680327439873e-42 1.28436706130593e-40 -20 0.4000000000000001 1 9 -3.5200000000000005 -5.511578934977977e-41 -6.6295854479717e-39 -20 0.4000000000000001 1 10 -3.44 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b/test/integration/scalarwave_3levels_Mongwane/u.it000040.tsv index 7361e53..5300397 100644 --- a/test/integration/scalarwave_3levels_Mongwane/u.it000040.tsv +++ b/test/integration/scalarwave_3levels_Mongwane/u.it000040.tsv @@ -1,216 +1,216 @@ # 1:iteation 2:time 3:level 4:i 5:x 6:psi 7:Pi -40 0.8000000000000004 1 1 -4.16 -6.838426622424255e-36 1.8728846358237184e-34 -40 0.8000000000000004 1 2 -4.08 -1.7244449086710793e-36 -1.0313278724342369e-34 -40 0.8000000000000004 1 3 -4.0 -1.7244449086710813e-36 -1.0313278724342388e-34 -40 0.8000000000000004 1 4 -3.92 -6.838426622424313e-36 1.8728846358236895e-34 -40 0.8000000000000004 1 5 -3.84 3.2816377013750286e-34 1.9886049954730242e-32 -40 0.8000000000000004 1 6 -3.76 2.122988392836206e-33 1.4628878060033747e-32 -40 0.8000000000000004 1 7 -3.6799999999999997 -5.249123267581357e-32 -3.328746114096929e-30 -40 0.8000000000000004 1 8 -3.6000000000000005 -5.082541991328165e-31 -1.1496146511891438e-29 -40 0.8000000000000004 1 9 -3.5200000000000005 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