Fig.9

a.) First eight POD-modes with energy content 

POD-coef. a1 for Z-values in surf(X,Y,Z), height h/c=2 

  0.00009639	  0.00009163	  0.00008005	  0.00006056	  0.00003313	 -0.00000155	 -0.00004239	 -0.00008808	 -0.00013725	 -0.00018851	 -0.00024053	 -0.00029212	 -0.00034227	 -0.00039022	 -0.00043540	 -0.00047740	 -0.00051591	 -0.00055062	 -0.00058122	 -0.00060750	 -0.00062937	 -0.00064697	 -0.00066060	 -0.00067071	 -0.00067779	 -0.00068223	 -0.00068429	 -0.00068407	 -0.00068159	 -0.00067682	 -0.00066980	 -0.00066061	 -0.00064941	 -0.00063631	 -0.00062136	 -0.00060446	 -0.00058541	 -0.00056393	 -0.00053978	 -0.00051291	 -0.00048350	 -0.00045208	 -0.00041945	 -0.00038666	 -0.00035488	 -0.00032528	 -0.00029886	 -0.00027641	 -0.00025839	 -0.00024484	 -0.00023545	 -0.00022949	 -0.00022596	 -0.00022361	 -0.00022113	 -0.00021731	 -0.00021125	 -0.00020250	 -0.00019124	 -0.00017827	 -0.00016496	 -0.00015302	 -0.00014420	 -0.00013994	 -0.00014109	 -0.00014772	 -0.00015915	 -0.00017416	 -0.00019127	 -0.00020914	 -0.00022690	 -0.00024423	 -0.00026141	 -0.00027904	 -0.00029780	 -0.00031806	 -0.00033971	 -0.00036207	 -0.00038403	 -0.00040425	 -0.00042145	 -0.00043463	 -0.00044312	 -0.00044658	 -0.00044483	 -0.00043775	 -0.00042520	 -0.00040710	 -0.00038360	 -0.00035517	 -0.00032277	 -0.00028782	 -0.00025208	 -0.00021749	 -0.00018592	 -0.00015899	 -0.00013793	 -0.00012347	 -0.00011582	 -0.00011469	 -0.00011933	 -0.00012865	 -0.00014127	 -0.00015571	 -0.00017049	 -0.00018424	 -0.00019588	 -0.00020469	 -0.00021040	 -0.00021320	 -0.00021368	 -0.00021276	 -0.00021149	 -0.00021085	 -0.00021154	 -0.00021387	 -0.00021765	 -0.00022233	 -0.00022709	 -0.00023113	 -0.00023380	 -0.00023475	 -0.00023386	 -0.00023113	 -0.00022653	 -0.00021989	 -0.00021097	 -0.00019956	 -0.00018570	 -0.00016991	 -0.00015322	 -0.00013709	 -0.00012316	 -0.00011293	 -0.00010745	 -0.00010705	 -0.00011132	 -0.00011912	 -0.00012884	 -0.00013867	 -0.00014692	 -0.00015224	 -0.00015382	 -0.00015142	 -0.00014533	 -0.00013625	 -0.00012506	 -0.00011273	 -0.00010011	 -0.00008787	 -0.00007643	 -0.00006603	 -0.00005671	 -0.00004839	 -0.00004097	 -0.00003433	 -0.00002836	 -0.00002301	 -0.00001825	 -0.00001406	 -0.00001040	 -0.00000717	 -0.00000425	 -0.00000148	  0.00000133	  0.00000436	  0.00000775	  0.00001159	  0.00001590	  0.00002064	  0.00002573	  0.00003108	  0.00003658	  0.00004218	  0.00004783	  0.00005352	  0.00005923	  0.00006493	  0.00007057	  0.00007606	  0.00008124	  0.00008592	  0.00008984	  0.00009276	  0.00009437	  0.00009444	  0.00009274	  0.00008915	  0.00008362	  0.00007624	  0.00006718	  0.00005677	  0.00004538	  0.00003350	  0.00002163	  0.00001034	  0.00000017	 -0.00000836	 -0.00001483	 -0.00001900	 -0.00002092	
  0.00008911	  0.00008148	  0.00006330	  0.00003381	 -0.00000661	 -0.00005690	 -0.00011563	 -0.00018117	 -0.00025178	 -0.00032569	 -0.00040117	 -0.00047664	 -0.00055073	 -0.00062239	 -0.00069083	 -0.00075545	 -0.00081576	 -0.00087124	 -0.00092141	 -0.00096583	 -0.00100428	 -0.00103681	 -0.00106375	 -0.00108561	 -0.00110297	 -0.00111626	 -0.00112575	 -0.00113151	 -0.00113347	 -0.00113157	 -0.00112582	 -0.00111633	 -0.00110331	 -0.00108696	 -0.00106740	 -0.00104457	 -0.00101824	 -0.00098810	 -0.00095392	 -0.00091567	 -0.00087367	 -0.00082865	 -0.00078173	 -0.00073430	 -0.00068791	 -0.00064410	 -0.00060421	 -0.00056926	 -0.00053988	 -0.00051619	 -0.00049785	 -0.00048403	 -0.00047349	 -0.00046475	 -0.00045619	 -0.00044632	 -0.00043401	 -0.00041868	 -0.00040055	 -0.00038061	 -0.00036059	 -0.00034267	 -0.00032910	 -0.00032174	 -0.00032167	 -0.00032898	 -0.00034277	 -0.00036138	 -0.00038286	 -0.00040544	 -0.00042791	 -0.00044987	 -0.00047164	 -0.00049401	 -0.00051781	 -0.00054352	 -0.00057093	 -0.00059907	 -0.00062641	 -0.00065116	 -0.00067161	 -0.00068649	 -0.00069503	 -0.00069685	 -0.00069184	 -0.00067989	 -0.00066085	 -0.00063463	 -0.00060139	 -0.00056176	 -0.00051699	 -0.00046896	 -0.00041997	 -0.00037254	 -0.00032913	 -0.00029182	 -0.00026220	 -0.00024121	 -0.00022916	 -0.00022569	 -0.00022990	 -0.00024042	 -0.00025554	 -0.00027341	 -0.00029214	 -0.00031002	 -0.00032563	 -0.00033803	 -0.00034681	 -0.00035214	 -0.00035473	 -0.00035567	 -0.00035624	 -0.00035764	 -0.00036073	 -0.00036585	 -0.00037272	 -0.00038055	 -0.00038823	 -0.00039468	 -0.00039907	 -0.00040098	 -0.00040032	 -0.00039719	 -0.00039161	 -0.00038341	 -0.00037224	 -0.00035776	 -0.00033998	 -0.00031952	 -0.00029768	 -0.00027635	 -0.00025766	 -0.00024356	 -0.00023541	 -0.00023364	 -0.00023771	 -0.00024616	 -0.00025693	 -0.00026773	 -0.00027638	 -0.00028123	 -0.00028127	 -0.00027622	 -0.00026650	 -0.00025297	 -0.00023679	 -0.00021915	 -0.00020111	 -0.00018350	 -0.00016685	 -0.00015141	 -0.00013724	 -0.00012425	 -0.00011231	 -0.00010128	 -0.00009105	 -0.00008156	 -0.00007280	 -0.00006473	 -0.00005732	 -0.00005046	 -0.00004398	 -0.00003768	 -0.00003132	 -0.00002467	 -0.00001756	 -0.00000988	 -0.00000161	  0.00000718	  0.00001637	  0.00002584	  0.00003544	  0.00004508	  0.00005471	  0.00006429	  0.00007379	  0.00008316	  0.00009231	  0.00010111	  0.00010933	  0.00011674	  0.00012299	  0.00012776	  0.00013068	  0.00013143	  0.00012975	  0.00012547	  0.00011856	  0.00010914	  0.00009746	  0.00008395	  0.00006911	  0.00005357	  0.00003800	  0.00002311	  0.00000960	 -0.00000184	 -0.00001064	 -0.00001641	 -0.00001906	
  0.00007275	  0.00005854	  0.00002754	 -0.00002048	 -0.00008454	 -0.00016305	 -0.00025405	 -0.00035536	 -0.00046464	 -0.00057946	 -0.00069740	 -0.00081615	 -0.00093373	 -0.00104856	 -0.00115944	 -0.00126551	 -0.00136595	 -0.00145992	 -0.00154649	 -0.00162483	 -0.00169440	 -0.00175510	 -0.00180727	 -0.00185158	 -0.00188875	 -0.00191931	 -0.00194351	 -0.00196130	 -0.00197247	 -0.00197680	 -0.00197425	 -0.00196499	 -0.00194937	 -0.00192776	 -0.00190042	 -0.00186734	 -0.00182828	 -0.00178288	 -0.00173085	 -0.00167223	 -0.00160756	 -0.00153796	 -0.00146509	 -0.00139102	 -0.00131799	 -0.00124819	 -0.00118355	 -0.00112555	 -0.00107513	 -0.00103255	 -0.00099743	 -0.00096875	 -0.00094494	 -0.00092406	 -0.00090397	 -0.00088267	 -0.00085858	 -0.00083088	 -0.00079981	 -0.00076670	 -0.00073394	 -0.00070460	 -0.00068187	 -0.00066841	 -0.00066577	 -0.00067405	 -0.00069188	 -0.00071681	 -0.00074591	 -0.00077655	 -0.00080695	 -0.00083650	 -0.00086570	 -0.00089573	 -0.00092783	 -0.00096267	 -0.00099986	 -0.00103792	 -0.00107449	 -0.00110686	 -0.00113257	 -0.00114985	 -0.00115776	 -0.00115601	 -0.00114463	 -0.00112361	 -0.00109276	 -0.00105190	 -0.00100115	 -0.00094136	 -0.00087431	 -0.00080267	 -0.00072978	 -0.00065923	 -0.00059449	 -0.00053848	 -0.00049343	 -0.00046067	 -0.00044061	 -0.00043283	 -0.00043612	 -0.00044865	 -0.00046813	 -0.00049205	 -0.00051783	 -0.00054309	 -0.00056588	 -0.00058481	 -0.00059924	 -0.00060930	 -0.00061586	 -0.00062035	 -0.00062449	 -0.00062988	 -0.00063769	 -0.00064832	 -0.00066127	 -0.00067529	 -0.00068870	 -0.00069986	 -0.00070758	 -0.00071134	 -0.00071123	 -0.00070755	 -0.00070049	 -0.00068986	 -0.00067508	 -0.00065552	 -0.00063103	 -0.00060235	 -0.00057127	 -0.00054049	 -0.00051310	 -0.00049190	 -0.00047885	 -0.00047456	 -0.00047824	 -0.00048783	 -0.00050041	 -0.00051277	 -0.00052194	 -0.00052563	 -0.00052253	 -0.00051236	 -0.00049572	 -0.00047390	 -0.00044850	 -0.00042114	 -0.00039327	 -0.00036594	 -0.00033986	 -0.00031531	 -0.00029236	 -0.00027086	 -0.00025063	 -0.00023150	 -0.00021335	 -0.00019613	 -0.00017985	 -0.00016448	 -0.00014999	 -0.00013623	 -0.00012300	 -0.00010999	 -0.00009688	 -0.00008334	 -0.00006914	 -0.00005415	 -0.00003837	 -0.00002191	 -0.00000496	  0.00001226	  0.00002957	  0.00004680	  0.00006386	  0.00008071	  0.00009728	  0.00011348	  0.00012918	  0.00014414	  0.00015808	  0.00017060	  0.00018126	  0.00018958	  0.00019506	  0.00019724	  0.00019578	  0.00019047	  0.00018127	  0.00016838	  0.00015218	  0.00013327	  0.00011241	  0.00009046	  0.00006838	  0.00004713	  0.00002771	  0.00001105	 -0.00000201	 -0.00001080	 -0.00001504	
  0.00004690	  0.00002299	 -0.00002604	 -0.00009949	 -0.00019562	 -0.00031218	 -0.00044660	 -0.00059606	 -0.00075749	 -0.00092761	 -0.00110303	 -0.00128050	 -0.00145714	 -0.00163068	 -0.00179948	 -0.00196234	 -0.00211812	 -0.00226548	 -0.00240286	 -0.00252876	 -0.00264209	 -0.00274253	 -0.00283049	 -0.00290686	 -0.00297262	 -0.00302846	 -0.00307454	 -0.00311059	 -0.00313607	 -0.00315051	 -0.00315376	 -0.00314608	 -0.00312802	 -0.00310028	 -0.00306333	 -0.00301730	 -0.00296187	 -0.00289654	 -0.00282092	 -0.00273509	 -0.00263985	 -0.00253689	 -0.00242865	 -0.00231813	 -0.00220854	 -0.00210300	 -0.00200426	 -0.00191443	 -0.00183485	 -0.00176599	 -0.00170746	 -0.00165799	 -0.00161559	 -0.00157770	 -0.00154150	 -0.00150421	 -0.00146362	 -0.00141850	 -0.00136903	 -0.00131702	 -0.00126577	 -0.00121966	 -0.00118332	 -0.00116064	 -0.00115392	 -0.00116326	 -0.00118655	 -0.00122006	 -0.00125935	 -0.00130042	 -0.00134063	 -0.00137915	 -0.00141684	 -0.00145564	 -0.00149753	 -0.00154358	 -0.00159325	 -0.00164421	 -0.00169282	 -0.00173496	 -0.00176699	 -0.00178648	 -0.00179242	 -0.00178482	 -0.00176410	 -0.00173044	 -0.00168357	 -0.00162299	 -0.00154866	 -0.00146159	 -0.00136421	 -0.00126037	 -0.00115484	 -0.00105276	 -0.00095898	 -0.00087761	 -0.00081168	 -0.00076301	 -0.00073218	 -0.00071862	 -0.00072072	 -0.00073604	 -0.00076151	 -0.00079372	 -0.00082918	 -0.00086462	 -0.00089730	 -0.00092526	 -0.00094751	 -0.00096412	 -0.00097618	 -0.00098562	 -0.00099478	 -0.00100595	 -0.00102072	 -0.00103961	 -0.00106179	 -0.00108524	 -0.00110735	 -0.00112559	 -0.00113823	 -0.00114470	 -0.00114542	 -0.00114123	 -0.00113267	 -0.00111949	 -0.00110070	 -0.00107508	 -0.00104204	 -0.00100238	 -0.00095861	 -0.00091463	 -0.00087499	 -0.00084384	 -0.00082401	 -0.00081640	 -0.00081981	 -0.00083127	 -0.00084659	 -0.00086122	 -0.00087100	 -0.00087284	 -0.00086503	 -0.00084733	 -0.00082075	 -0.00078717	 -0.00074887	 -0.00070811	 -0.00066680	 -0.00062633	 -0.00058754	 -0.00055075	 -0.00051595	 -0.00048291	 -0.00045137	 -0.00042110	 -0.00039199	 -0.00036400	 -0.00033718	 -0.00031155	 -0.00028709	 -0.00026362	 -0.00024085	 -0.00021835	 -0.00019567	 -0.00017235	 -0.00014808	 -0.00012269	 -0.00009621	 -0.00006884	 -0.00004089	 -0.00001270	  0.00001545	  0.00004332	  0.00007080	  0.00009781	  0.00012428	  0.00015006	  0.00017495	  0.00019860	  0.00022060	  0.00024040	  0.00025738	  0.00027086	  0.00028017	  0.00028466	  0.00028386	  0.00027748	  0.00026550	  0.00024819	  0.00022613	  0.00020016	  0.00017137	  0.00014097	  0.00011026	  0.00008058	  0.00005325	  0.00002957	  0.00001072	 -0.00000230	 -0.00000885	
  0.00001273	 -0.00002317	 -0.00009410	 -0.00019802	 -0.00033230	 -0.00049398	 -0.00067990	 -0.00088658	 -0.00111017	 -0.00134641	 -0.00159078	 -0.00183877	 -0.00208639	 -0.00233057	 -0.00256923	 -0.00280098	 -0.00302442	 -0.00323761	 -0.00343807	 -0.00362325	 -0.00379128	 -0.00394148	 -0.00407440	 -0.00419138	 -0.00429383	 -0.00438262	 -0.00445778	 -0.00451858	 -0.00456396	 -0.00459297	 -0.00460528	 -0.00460123	 -0.00458178	 -0.00454809	 -0.00450102	 -0.00444084	 -0.00436713	 -0.00427910	 -0.00417610	 -0.00405814	 -0.00392638	 -0.00378318	 -0.00363201	 -0.00347708	 -0.00332286	 -0.00317364	 -0.00303315	 -0.00290428	 -0.00278888	 -0.00268768	 -0.00260029	 -0.00252520	 -0.00245992	 -0.00240117	 -0.00234522	 -0.00228835	 -0.00222743	 -0.00216057	 -0.00208778	 -0.00201136	 -0.00193584	 -0.00186737	 -0.00181264	 -0.00177735	 -0.00176488	 -0.00177533	 -0.00180554	 -0.00184985	 -0.00190158	 -0.00195474	 -0.00200547	 -0.00205274	 -0.00209814	 -0.00214490	 -0.00219633	 -0.00225428	 -0.00231804	 -0.00238413	 -0.00244699	 -0.00250040	 -0.00253907	 -0.00255977	 -0.00256162	 -0.00254543	 -0.00251242	 -0.00246318	 -0.00239717	 -0.00231327	 -0.00221083	 -0.00209086	 -0.00195659	 -0.00181337	 -0.00166791	 -0.00152733	 -0.00139826	 -0.00128622	 -0.00119519	 -0.00112753	 -0.00108398	 -0.00106376	 -0.00106477	 -0.00108382	 -0.00111690	 -0.00115953	 -0.00120709	 -0.00125523	 -0.00130025	 -0.00133945	 -0.00137137	 -0.00139600	 -0.00141474	 -0.00143016	 -0.00144550	 -0.00146399	 -0.00148792	 -0.00151800	 -0.00155291	 -0.00158952	 -0.00162373	 -0.00165166	 -0.00167081	 -0.00168066	 -0.00168237	 -0.00167778	 -0.00166813	 -0.00165314	 -0.00163103	 -0.00159944	 -0.00155692	 -0.00150414	 -0.00144451	 -0.00138369	 -0.00132834	 -0.00128454	 -0.00125639	 -0.00124511	 -0.00124893	 -0.00126353	 -0.00128298	 -0.00130091	 -0.00131162	 -0.00131098	 -0.00129688	 -0.00126928	 -0.00122982	 -0.00118128	 -0.00112686	 -0.00106961	 -0.00101203	 -0.00095584	 -0.00090198	 -0.00085072	 -0.00080189	 -0.00075511	 -0.00070997	 -0.00066619	 -0.00062365	 -0.00058239	 -0.00054252	 -0.00050415	 -0.00046729	 -0.00043174	 -0.00039709	 -0.00036277	 -0.00032813	 -0.00029254	 -0.00025556	 -0.00021701	 -0.00017699	 -0.00013583	 -0.00009401	 -0.00005205	 -0.00001036	  0.00003077	  0.00007119	  0.00011082	  0.00014959	  0.00018732	  0.00022370	  0.00025827	  0.00029045	  0.00031951	  0.00034464	  0.00036490	  0.00037937	  0.00038720	  0.00038772	  0.00038054	  0.00036563	  0.00034338	  0.00031458	  0.00028040	  0.00024232	  0.00020197	  0.00016110	  0.00012144	  0.00008474	  0.00005268	  0.00002685	  0.00000865	 -0.00000077	
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