Convergence Study for FEM- and FIT-Based Eigenvalue Solvers Applied to a TESLA 1.3 GHz Test Structure
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1 Convrgnc Stud for FEM- and FIT-Basd Eignvalu Solvrs Applid to a TESLA 1.3 GHz Tst Structur W. Ackrmann, H. D Grsm, W. F. O. Müllr Institut Thori Elktromagntischr Fldr, Tchnisch Univrsität Darmstadt Status Mting Jun 8, 2018 TEMF, Darmstadt TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 1
2 Outlin Motivation Computational Modl - FIT on HEX and FEM on TET - Cm3D paralll implmntation of FIT on HEX Simulation Rsults - CST implmntation for th FIT and FEM solvr - CST and Cm3D Implmntation for th FEM Solvr - CST and Cm3D Implmntation for th FIT Solvr Summar / Outlook TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 2
3 Outlin Motivation Computational Modl - FIT on HEX and FEM on TET - Cm3D paralll implmntation of FIT on HEX Simulation Rsults - CST implmntation for th FIT and FEM solvr - CST and Cm3D Implmntation for th FEM Solvr - CST and Cm3D Implmntation for th FIT Solvr Summar / Outlook TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 3
4 Motivation Eignanalsis of th TESLA Cavitis - Frquncis low cutoff frqunc of th am tu 1.3 GHz structur 3.9 GHz structur HOM Couplr Input Couplr TESLA 3.9 GHz Cavit Bllow Bam Tu Concntration on a singl cavit if no intraction with adjacnt lmnts TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 4
5 Motivation Eignanalsis of th TESLA 3.9 GHz Cavitis - Chain of cavitis HOM Couplr Input Couplr TESLA 3.9 GHz Cavit Bllow Bam Tu FLASH: 4 cavitis pr modul + rmaining am lin X-FEL: 8 cavitis pr modul + rmaining am lin Slct a propr numrical mthod to accuratl solv this prolm TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 5
6 Outlin Motivation Computational Modl - FIT on HEX and FEM on TET - Cm3D paralll implmntation of FIT on HEX Simulation Rsults - CST implmntation for th FIT and FEM solvr - CST and Cm3D Implmntation for th FEM Solvr - CST and Cm3D Implmntation for th FIT Solvr Summar / Outlook TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 6
7 Computational Modl Compar two Widsprad Numrical Mthods - FIT on hahdral msh - FEM on ttrahdral msh TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 7
8 Computational Modl Compar two Widsprad Numrical Mthods - Convrgnc stud asd on a sphrical rsonator FIT, FPBA FIT, PBA FEM 6, G1 FEM 20, G TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 8
9 Computational Modl Compar two Widsprad Numrical Mthods - Surv of advantags/disadvantags FIT FEM Structurd grid simpl to valuat Port facs alignd to th msh Fild componnts ar dcoupld Standard ignvalu prolm Unstructurd grid nicl fits to gomtr Aritrar port fac orintations Fild componnts ar coupld Gnralizd ignvalu prolm TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 9
10 Computational Modl Eignanalsis of a TESLA 3.9 GHz Tst Structur - Simplifications suggstd DESY, URO, and TEMF Singl zro-loss cavit (ports rplacd PMC Short am pips Port facs alignd to HEX msh Frqunc rang from 2 to 6 GHz Front viw Sid viw TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 10
11 Outlin Motivation Computational Modl - FIT on HEX and FEM on TET - Cm3D paralll implmntation of FIT on HEX Simulation Rsults - CST implmntation for th FIT and FEM solvr - CST and Cm3D Implmntation for th FEM Solvr - CST and Cm3D Implmntation for th FIT Solvr Summar / Outlook TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 11
12 Computational Modl Canonical Inding - Classical gloal ordring z z z M M M 0 z Eampl: N =3 N =3 N z = z z z M M M Primal grid liminat TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 12
13 Computational Modl Structur of th Matri C for th simpl ampl N =3 N =3 N z =3 N P =27 3*N P = TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 13
14 Computational Modl Structur of th Matri C for th simpl ampl liminat N =3 N =3 N z =3 N P =27 3*N P = TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 14
15 Computational Modl Structur of th Matri C for th simpl ampl N =3 N =3 N z =3 N P =27 3*N P =81 Rducd matri TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 15
16 Computational Modl Canonical Inding - Classical local ordring z z z M 0 z Bispil: N =3 N =3 N z = z z z M liminat Primal grid TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 16
17 Computational Modl Structur of th Matri C for th simpl ampl Rducd Matrics gloal canonical inding local canonical inding TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 17
18 Computational Modl Laout of th Sstm Matri: 1/2 1 1/2 A M CM % CM Eampl: N p =27 C % C. = TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 18
19 Computational Modl Laout of th Sstm Matri: A M CM % CM 1/2 1 1/2 Eampl: N p =27 C % C. = TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 19
20 Computational Modl Cm3D Implmntation for th FIT Solvr - Paralll laout of th matrics and vctors using th PETSc lirar - Rnumring of DOF Enals to liminat unncssar mmor allocations Lss zro ignvalus Lngth of th attachd coaial lins no longr significant for th mmor consumption Computational domain Eliminat unncssar DOF Bounding o TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 20
21 Outlin Motivation Computational Modl - FIT on HEX and FEM on TET - Cm3D paralll implmntation of FIT on HEX Simulation Rsults - CST implmntation for th FIT and FEM solvr - CST and Cm3D Implmntation for th FEM Solvr - CST and Cm3D Implmntation for th FIT Solvr Summar / Outlook TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 21
22 Simulation Rsults CST Implmntation for th FIT and FEM Solvr TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 22
23 Simulation Rsults CST Implmntation for th FIT and FEM Solvr TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 23
24 Simulation Rsults CST and Cm3D Implmntation for th FEM Solvr TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 24
25 Simulation Rsults CST and Cm3D Implmntation for th FEM Solvr Usd as a rfrnc solution for susqunt studis TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 25
26 Simulation Rsults CST and Cm3D Implmntation for th FIT Solvr TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 26
27 Simulation Rsults CST and Cm3D Implmntation for th FIT Solvr 100 Mio. Msh Clls ar not sufficint! TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 27
28 Outlin Motivation Computational Modl - FIT on HEX and FEM on TET - Cm3D paralll implmntation of FIT on HEX Simulation Rsults - CST implmntation for th FIT and FEM solvr - CST and Cm3D Implmntation for th FEM Solvr - CST and Cm3D Implmntation for th FIT Solvr Summar / Outlook TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 28
29 Summar / Outlook Summar: - Prcis modling of a 3.9 GHz TESLA tst structur including th input and highr-ordr mod couplrs - Concntration on a singl zro-loss cavit with coordinatalignd port facs, ports ar closd with PMC - Elctromagntic ignmod analsis asd on FIT on HEX and FEM on TET mshs Mio. Msh clls for FIT on HEX not t sufficint Outlook: - Invstigat fild-map data for th FIT and FEM approachs TU Darmstadt Fachrich 18 Institut Thori Elktromagntischr Fldr Wolfgang Ackrmann 29
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