Fig.9

a.) First eight POD-modes with energy content 

POD-coef. a8 for Z-values in surf(X,Y,Z), height h/c=2 

  0.00011749	  0.00011056	  0.00009436	  0.00006773	  0.00003076	 -0.00001568	 -0.00007033	 -0.00013173	 -0.00019837	 -0.00026875	 -0.00034140	 -0.00041496	 -0.00048823	 -0.00056017	 -0.00062993	 -0.00069675	 -0.00075991	 -0.00081863	 -0.00087208	 -0.00091942	 -0.00095986	 -0.00099277	 -0.00101767	 -0.00103429	 -0.00104249	 -0.00104220	 -0.00103344	 -0.00101625	 -0.00099075	 -0.00095711	 -0.00091562	 -0.00086668	 -0.00081075	 -0.00074835	 -0.00068000	 -0.00060624	 -0.00052757	 -0.00044449	 -0.00035753	 -0.00026726	 -0.00017438	 -0.00007968	  0.00001588	  0.00011118	  0.00020500	  0.00029601	  0.00038285	  0.00046416	  0.00053860	  0.00060491	  0.00066191	  0.00070849	  0.00074365	  0.00076652	  0.00077645	  0.00077307	  0.00075645	  0.00072723	  0.00068670	  0.00063681	  0.00058011	  0.00051949	  0.00045789	  0.00039789	  0.00034139	  0.00028942	  0.00024200	  0.00019835	  0.00015705	  0.00011640	  0.00007475	  0.00003072	 -0.00001659	 -0.00006751	 -0.00012180	 -0.00017870	 -0.00023708	 -0.00029551	 -0.00035249	 -0.00040655	 -0.00045640	 -0.00050091	 -0.00053915	 -0.00057029	 -0.00059354	 -0.00060813	 -0.00061339	 -0.00060890	 -0.00059472	 -0.00057163	 -0.00054120	 -0.00050583	 -0.00046852	 -0.00043263	 -0.00040151	 -0.00037818	 -0.00036503	 -0.00036363	 -0.00037463	 -0.00039777	 -0.00043193	 -0.00047534	 -0.00052571	 -0.00058050	 -0.00063710	 -0.00069309	 -0.00074637	 -0.00079532	 -0.00083881	 -0.00087625	 -0.00090747	 -0.00093257	 -0.00095179	 -0.00096527	 -0.00097291	 -0.00097429	 -0.00096869	 -0.00095519	 -0.00093292	 -0.00090131	 -0.00086027	 -0.00081036	 -0.00075270	 -0.00068886	 -0.00062067	 -0.00055000	 -0.00047855	 -0.00040773	 -0.00033855	 -0.00027160	 -0.00020701	 -0.00014451	 -0.00008353	 -0.00002339	  0.00003647	  0.00009630	  0.00015590	  0.00021454	  0.00027102	  0.00032387	  0.00037154	  0.00041266	  0.00044622	  0.00047172	  0.00048916	  0.00049894	  0.00050170	  0.00049812	  0.00048874	  0.00047385	  0.00045340	  0.00042703	  0.00039415	  0.00035405	  0.00030601	  0.00024946	  0.00018406	  0.00010981	  0.00002708	 -0.00006329	 -0.00016005	 -0.00026151	 -0.00036559	 -0.00046996	 -0.00057212	 -0.00066962	 -0.00076025	 -0.00084226	 -0.00091446	 -0.00097629	 -0.00102780	 -0.00106951	 -0.00110222	 -0.00112683	 -0.00114414	 -0.00115482	 -0.00115929	 -0.00115781	 -0.00115047	 -0.00113722	 -0.00111788	 -0.00109211	 -0.00105944	 -0.00101928	 -0.00097108	 -0.00091444	 -0.00084924	 -0.00077581	 -0.00069489	 -0.00060772	 -0.00051589	 -0.00042134	 -0.00032626	 -0.00023305	 -0.00014425	 -0.00006254	  0.00000931	  0.00006862	  0.00011317	  0.00014171	  0.00015477	
  0.00010714	  0.00009647	  0.00007184	  0.00003254	 -0.00002083	 -0.00008694	 -0.00016414	 -0.00025059	 -0.00034434	 -0.00044346	 -0.00054598	 -0.00065006	 -0.00075402	 -0.00085639	 -0.00095593	 -0.00105155	 -0.00114215	 -0.00122660	 -0.00130364	 -0.00137202	 -0.00143055	 -0.00147828	 -0.00151448	 -0.00153870	 -0.00155068	 -0.00155028	 -0.00153743	 -0.00151214	 -0.00147451	 -0.00142476	 -0.00136328	 -0.00129061	 -0.00120743	 -0.00111448	 -0.00101256	 -0.00090246	 -0.00078500	 -0.00066096	 -0.00053118	 -0.00039660	 -0.00025829	 -0.00011750	  0.00002433	  0.00016555	  0.00030438	  0.00043888	  0.00056709	  0.00068706	  0.00079691	  0.00089487	  0.00097930	  0.00104872	  0.00110178	  0.00113735	  0.00115458	  0.00115300	  0.00113271	  0.00109453	  0.00104012	  0.00097204	  0.00089360	  0.00080859	  0.00072090	  0.00063397	  0.00055039	  0.00047160	  0.00039779	  0.00032809	  0.00026084	  0.00019405	  0.00012577	  0.00005445	 -0.00002091	 -0.00010056	 -0.00018410	 -0.00027044	 -0.00035805	 -0.00044504	 -0.00052943	 -0.00060929	 -0.00068295	 -0.00074897	 -0.00080620	 -0.00085363	 -0.00089031	 -0.00091529	 -0.00092773	 -0.00092710	 -0.00091348	 -0.00088787	 -0.00085230	 -0.00080988	 -0.00076450	 -0.00072048	 -0.00068216	 -0.00065340	 -0.00063728	 -0.00063582	 -0.00064987	 -0.00067913	 -0.00072223	 -0.00077695	 -0.00084042	 -0.00090943	 -0.00098070	 -0.00105110	 -0.00111796	 -0.00117913	 -0.00123312	 -0.00127907	 -0.00131668	 -0.00134600	 -0.00136722	 -0.00138049	 -0.00138563	 -0.00138205	 -0.00136881	 -0.00134469	 -0.00130856	 -0.00125968	 -0.00119797	 -0.00112418	 -0.00103982	 -0.00094698	 -0.00084807	 -0.00074550	 -0.00064151	 -0.00053795	 -0.00043621	 -0.00033716	 -0.00024108	 -0.00014777	 -0.00005664	  0.00003306	  0.00012196	  0.00021028	  0.00029765	  0.00038307	  0.00046490	  0.00054118	  0.00060983	  0.00066902	  0.00071740	  0.00075429	  0.00077960	  0.00079381	  0.00079768	  0.00079204	  0.00077752	  0.00075444	  0.00072272	  0.00068190	  0.00063127	  0.00056998	  0.00049723	  0.00041244	  0.00031531	  0.00020603	  0.00008525	 -0.00004580	 -0.00018533	 -0.00033104	 -0.00048014	 -0.00062946	 -0.00077570	 -0.00091556	 -0.00104610	 -0.00116493	 -0.00127039	 -0.00136170	 -0.00143882	 -0.00150237	 -0.00155330	 -0.00159270	 -0.00162157	 -0.00164067	 -0.00165052	 -0.00165142	 -0.00164351	 -0.00162677	 -0.00160105	 -0.00156600	 -0.00152111	 -0.00146572	 -0.00139920	 -0.00132112	 -0.00123145	 -0.00113074	 -0.00102009	 -0.00090121	 -0.00077632	 -0.00064804	 -0.00051927	 -0.00039314	 -0.00027296	 -0.00016214	 -0.00006419	  0.00001742	  0.00007959	  0.00012011	  0.00013866	
  0.00008449	  0.00006546	  0.00002464	 -0.00003794	 -0.00012093	 -0.00022233	 -0.00033985	 -0.00047102	 -0.00061320	 -0.00076367	 -0.00091963	 -0.00107833	 -0.00123724	 -0.00139412	 -0.00154706	 -0.00169436	 -0.00183435	 -0.00196517	 -0.00208484	 -0.00219127	 -0.00228258	 -0.00235716	 -0.00241387	 -0.00245194	 -0.00247090	 -0.00247044	 -0.00245037	 -0.00241059	 -0.00235116	 -0.00227236	 -0.00217475	 -0.00205914	 -0.00192658	 -0.00177826	 -0.00161546	 -0.00143948	 -0.00125163	 -0.00105326	 -0.00084579	 -0.00063077	 -0.00040999	 -0.00018548	  0.00004043	  0.00026512	  0.00048575	  0.00069931	  0.00090273	  0.00109299	  0.00126724	  0.00142278	  0.00155719	  0.00166827	  0.00175410	  0.00181307	  0.00184397	  0.00184615	  0.00181971	  0.00176576	  0.00168659	  0.00158579	  0.00146804	  0.00133881	  0.00120370	  0.00106777	  0.00093487	  0.00080721	  0.00068527	  0.00056797	  0.00045324	  0.00033851	  0.00022136	  0.00009990	 -0.00002695	 -0.00015933	 -0.00029644	 -0.00043665	 -0.00057766	 -0.00071675	 -0.00085106	 -0.00097787	 -0.00109480	 -0.00119993	 -0.00129175	 -0.00136898	 -0.00143045	 -0.00147492	 -0.00150120	 -0.00150851	 -0.00149688	 -0.00146762	 -0.00142359	 -0.00136912	 -0.00130971	 -0.00125146	 -0.00120041	 -0.00116198	 -0.00114044	 -0.00113858	 -0.00115763	 -0.00119720	 -0.00125546	 -0.00132940	 -0.00141515	 -0.00150832	 -0.00160441	 -0.00169914	 -0.00178876	 -0.00187025	 -0.00194148	 -0.00200115	 -0.00204872	 -0.00208417	 -0.00210770	 -0.00211943	 -0.00211909	 -0.00210582	 -0.00207821	 -0.00203449	 -0.00197299	 -0.00189261	 -0.00179326	 -0.00167606	 -0.00154324	 -0.00139786	 -0.00124334	 -0.00108313	 -0.00092037	 -0.00075772	 -0.00059722	 -0.00044023	 -0.00028737	 -0.00013856	  0.00000687	  0.00014981	  0.00029101	  0.00043068	  0.00056819	  0.00070198	  0.00082965	  0.00094828	  0.00105483	  0.00114663	  0.00122170	  0.00127898	  0.00131833	  0.00134037	  0.00134611	  0.00133662	  0.00131274	  0.00127484	  0.00122273	  0.00115579	  0.00107306	  0.00097345	  0.00085603	  0.00072016	  0.00056570	  0.00039315	  0.00020370	 -0.00000070	 -0.00021735	 -0.00044281	 -0.00067300	 -0.00090334	 -0.00112900	 -0.00134521	 -0.00154764	 -0.00173276	 -0.00189812	 -0.00204247	 -0.00216572	 -0.00226864	 -0.00235253	 -0.00241884	 -0.00246885	 -0.00250355	 -0.00252358	 -0.00252929	 -0.00252089	 -0.00249845	 -0.00246187	 -0.00241086	 -0.00234482	 -0.00226298	 -0.00216452	 -0.00204896	 -0.00191638	 -0.00176771	 -0.00160473	 -0.00143002	 -0.00124689	 -0.00105916	 -0.00087103	 -0.00068693	 -0.00051142	 -0.00034918	 -0.00020496	 -0.00008351	  0.00001066	  0.00007388	  0.00010436	
  0.00004952	  0.00001829	 -0.00004507	 -0.00013929	 -0.00026203	 -0.00041051	 -0.00058172	 -0.00077242	 -0.00097913	 -0.00119812	 -0.00142543	 -0.00165712	 -0.00188946	 -0.00211918	 -0.00234354	 -0.00256012	 -0.00276648	 -0.00295988	 -0.00313723	 -0.00329530	 -0.00343111	 -0.00354220	 -0.00362684	 -0.00368388	 -0.00371259	 -0.00371246	 -0.00368307	 -0.00362415	 -0.00353564	 -0.00341789	 -0.00327164	 -0.00309811	 -0.00289886	 -0.00267570	 -0.00243057	 -0.00216547	 -0.00188241	 -0.00158345	 -0.00127076	 -0.00094674	 -0.00061411	 -0.00027598	  0.00006413	  0.00040229	  0.00073419	  0.00105533	  0.00136113	  0.00164712	  0.00190906	  0.00214306	  0.00234561	  0.00251361	  0.00264436	  0.00273562	  0.00278570	  0.00279361	  0.00275941	  0.00268447	  0.00257188	  0.00242655	  0.00225506	  0.00206519	  0.00186506	  0.00166206	  0.00146184	  0.00126770	  0.00108040	  0.00089853	  0.00071928	  0.00053929	  0.00035544	  0.00016543	 -0.00003192	 -0.00023651	 -0.00044700	 -0.00066094	 -0.00087500	 -0.00108528	 -0.00128771	 -0.00147844	 -0.00165419	 -0.00181242	 -0.00195126	 -0.00206926	 -0.00216499	 -0.00223685	 -0.00228312	 -0.00230250	 -0.00229474	 -0.00226148	 -0.00220657	 -0.00213606	 -0.00205766	 -0.00197994	 -0.00191135	 -0.00185937	 -0.00182989	 -0.00182675	 -0.00185160	 -0.00190393	 -0.00198127	 -0.00207955	 -0.00219353	 -0.00231727	 -0.00244464	 -0.00256982	 -0.00268766	 -0.00279401	 -0.00288590	 -0.00296150	 -0.00302004	 -0.00306145	 -0.00308603	 -0.00309398	 -0.00308493	 -0.00305768	 -0.00301016	 -0.00293971	 -0.00284377	 -0.00272062	 -0.00257011	 -0.00239385	 -0.00219517	 -0.00197848	 -0.00174870	 -0.00151064	 -0.00126866	 -0.00102645	 -0.00078693	 -0.00055217	 -0.00032324	 -0.00010019	  0.00011775	  0.00033179	  0.00054295	  0.00075150	  0.00095647	  0.00115556	  0.00134524	  0.00152123	  0.00167909	  0.00181491	  0.00192584	  0.00201035	  0.00206828	  0.00210050	  0.00210845	  0.00209364	  0.00205714	  0.00199938	  0.00192004	  0.00181818	  0.00169246	  0.00154146	  0.00136401	  0.00115945	  0.00092783	  0.00067010	  0.00038816	  0.00008496	 -0.00023557	 -0.00056848	 -0.00090797	 -0.00124752	 -0.00158024	 -0.00189930	 -0.00219847	 -0.00247262	 -0.00271822	 -0.00293348	 -0.00311827	 -0.00327371	 -0.00340166	 -0.00350412	 -0.00358281	 -0.00363895	 -0.00367328	 -0.00368620	 -0.00367799	 -0.00364885	 -0.00359885	 -0.00352779	 -0.00343502	 -0.00331952	 -0.00318016	 -0.00301624	 -0.00282798	 -0.00261679	 -0.00238532	 -0.00213740	 -0.00187779	 -0.00161196	 -0.00134583	 -0.00108554	 -0.00083727	 -0.00060727	 -0.00040184	 -0.00022733	 -0.00008996	  0.00000462	  0.00005232	
  0.00000414	 -0.00004200	 -0.00013241	 -0.00026410	 -0.00043358	 -0.00063721	 -0.00087125	 -0.00113170	 -0.00141420	 -0.00171384	 -0.00202532	 -0.00234314	 -0.00266211	 -0.00297773	 -0.00328635	 -0.00358488	 -0.00387016	 -0.00413839	 -0.00438506	 -0.00460536	 -0.00479487	 -0.00495005	 -0.00506849	 -0.00514869	 -0.00518969	 -0.00519073	 -0.00515108	 -0.00507016	 -0.00494770	 -0.00478402	 -0.00458014	 -0.00433772	 -0.00405900	 -0.00374657	 -0.00340319	 -0.00303170	 -0.00263494	 -0.00221579	 -0.00177728	 -0.00132276	 -0.00085605	 -0.00038151	  0.00009590	  0.00057064	  0.00103667	  0.00148761	  0.00191699	  0.00231854	  0.00268638	  0.00301515	  0.00330009	  0.00353701	  0.00372233	  0.00385308	  0.00392695	  0.00394252	  0.00389959	  0.00379973	  0.00364679	  0.00344720	  0.00320989	  0.00294563	  0.00266584	  0.00238103	  0.00209926	  0.00182514	  0.00155965	  0.00130074	  0.00104446	  0.00078632	  0.00052229	  0.00024960	 -0.00003298	 -0.00032501	 -0.00062443	 -0.00092777	 -0.00123040	 -0.00152693	 -0.00181173	 -0.00207953	 -0.00232596	 -0.00254784	 -0.00274309	 -0.00291027	 -0.00304790	 -0.00315395	 -0.00322591	 -0.00326148	 -0.00325977	 -0.00322250	 -0.00315465	 -0.00306441	 -0.00296231	 -0.00286007	 -0.00276916	 -0.00269963	 -0.00265929	 -0.00265320	 -0.00268347	 -0.00274938	 -0.00284765	 -0.00297290	 -0.00311824	 -0.00327587	 -0.00343774	 -0.00359615	 -0.00374435	 -0.00387688	 -0.00398982	 -0.00408084	 -0.00414896	 -0.00419422	 -0.00421718	 -0.00421828	 -0.00419720	 -0.00415237	 -0.00408080	 -0.00397853	 -0.00384162	 -0.00366735	 -0.00345532	 -0.00320789	 -0.00292983	 -0.00262744	 -0.00230753	 -0.00197659	 -0.00164035	 -0.00130367	 -0.00097052	 -0.00064384	 -0.00032532	 -0.00001516	  0.00028768	  0.00058497	  0.00087828	  0.00116808	  0.00145312	  0.00173013	  0.00199411	  0.00223896	  0.00245837	  0.00264681	  0.00280030	  0.00291681	  0.00299625	  0.00303998	  0.00305014	  0.00302881	  0.00297746	  0.00289653	  0.00278545	  0.00264279	  0.00246667	  0.00225519	  0.00200687	  0.00172096	  0.00139779	  0.00103885	  0.00064693	  0.00022614	 -0.00021810	 -0.00067908	 -0.00114891	 -0.00161877	 -0.00207924	 -0.00252089	 -0.00293507	 -0.00331470	 -0.00365490	 -0.00395332	 -0.00420996	 -0.00442661	 -0.00460600	 -0.00475094	 -0.00486368	 -0.00494570	 -0.00499776	 -0.00502023	 -0.00501340	 -0.00497770	 -0.00491353	 -0.00482091	 -0.00469915	 -0.00454681	 -0.00436219	 -0.00414413	 -0.00389282	 -0.00361023	 -0.00330012	 -0.00296776	 -0.00261970	 -0.00226345	 -0.00190699	 -0.00155846	 -0.00122590	 -0.00091728	 -0.00064059	 -0.00040393	 -0.00021550	 -0.00008333	 -0.00001464	
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