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.    «

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 f...    »