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

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