TIME DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR GENERALIZED THERMO-ELASTIC WAVE OF NON-FOURIER EFFECTS

In the paper, we present a modified time discontinuous Galerkin finite element method (DGFEM) for the solution of generalized thermo-elastic coupled problems based on well-known non-Fourier Lord-Shulman theory. The general temperature and displacement fields with their time derivatives are interpolated in time domain, respectively. In order to filter out the spurious wave-front oscillations, an artificial damping scheme is implementation in the final finite element formula. Numerical results show that the present modified DGFEM proposes the good abilities and provides much more accurate solutions for generalized thermo-elastic coupled behavior. It can effectively capture the discontinuities at the wave front and filter out the effects of spurious numerical oscillation induced by thermal shock.