Specially tailored transfinite-element formulations for hyperbolic heat conduction involving non-Fourier effects

摘要: The phenomenon of hyperbolic heat conduction in contrast to the classical (parabolic) form Fourier involves thermal energy transport that propagates only at finite speeds as opposed an infinite speed transport. To accommodate wave propagation, a more precise flux law is involved, thereby modifying originally postulated theory conduction. As consequence, for problems, with very sharp discontinuities front. primary purpose present paper provide accurate solutions class one-dimensional problems involving non-Fourier effects can precisely help understand true response and furthermore be used effectively representative benchmark tests validating alternate schemes. purposely describes modeling/analysis formulatio...