@article{, author = {Feike, Marvin C.; Mundt, Christian}, title = {Numerical simulation of the thermal wave induced by a moving interfacial heat source with respect to Christov–Cattaneo's equation}, editor = {}, booktitle = {}, series = {}, journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)}, address = {}, publisher = {}, edition = {}, year = {2023}, isbn = {}, volume = {23}, number = {1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics}, pages = {e202200048}, url = {https://onlinelibrary.wiley.com/doi/10.1002/pamm.202200048}, doi = {10.1002/pamm.202200048}, keywords = {}, abstract = {The hyperbolic wave equation of heat conduction with respect to Christov's formulation is utilized with the Streamline- Upwind-Petrov-Galerkin method in space and the Θ, Houbolt, linear acceleration, Wilson-Θ and Newmark methods in time. The derivation of this equation and its matrix formulation are shown. A 2D transient finite element simulation of a generic asperity with an infinite line heat source in an interface, either as a heat flux density q̇ or temperature distribution T, is performed for Math = [0.5; 1.0]. A sensitivity study is presented for the mentioned numerical schemes. The temperature jump in the solution is interpreted as an indicator for a thermal shock.}, note = {}, institution = {Universität der Bundeswehr München, Fakultät für Luft- und Raumfahrttechnik, LRT 10 - Institut für Thermodynamik, Professur: Mundt, Christian }, }