Quasi-3-D spectral wavelet method for a thermal quench simulation

Journal of Mathematics in Industry

Laura A. M. D’Angelo¹  Herbert De Gersem¹  Jonas Bundschuh¹ 

[1] Institut für Teilchenbeschleunigung und Elektromagnetische Felder (TEMF), Technische Universität Darmstadt;

关键词: Finite element methods;    Hybrid discretizations;    Spectral element methods;    Wavelets;    Quenches;   

DOI  :  10.1186/s13362-021-00113-8

来源: DOAJ

【 摘 要 】

Abstract The finite element method is widely used in simulations of various fields. However, when considering domains whose extent differs strongly in different spatial directions a finite element simulation becomes computationally very expensive due to the large number of degrees of freedom. An example of such a domain are the cables inside of the magnets of particle accelerators. For translationally invariant domains, this work proposes a quasi-3-D method. Thereby, a 2-D finite element method with a nodal basis in the cross-section is combined with a spectral method with a wavelet basis in the longitudinal direction. Furthermore, a spectral method with a wavelet basis and an adaptive and time-dependent resolution is presented. All methods are verified. As an example the hot-spot propagation due to a quench in Rutherford cables is simulated successfully.

【 授权许可】

Unknown