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Analysis of algorithm Efficiency for Heat Diffusion at Nanoscale Based on a MEMS Structure Investigation

ENERGIES 2020年第10期13卷 2520-2520页

作者： Raszkowski, Tomasz Zubert, Mariusz Lodz Univ Technol Dept Microelect & Comp Sci PL-90924 Lodz Poland

This paper presents an analysis of the time complexity of algorithms prepared for solving heat transfer problems at nanoscale. The first algorithm uses the classic Dual-Phase-Lag model, whereas the second algorithm employs a reduced version of the model obtained using a Krylov subspace method. This manuscript includes a description of the finite difference method approximation prepared for analysis of the real microelectromechanical system (MEMS) structure manufactured by the Polish Institute of Electron Technology. In addition, an approximation scheme of the model, as well as the Krylov subspace-based model order reduction technique are also described. The paper considers simulation results obtained using both investigated versions of the Dual-Phase-Lag model. Moreover, the relative error generated by the reduced model, as well as the computational complexity of both algorithms, and a convergence of the proposed approach are analyzed. Finally, all analyses are discussed in detail.

关键词： Dual-Phase-Lag heat transfer model Krylov subspace-based model order reduction algorithm efficiency analysis relative error analysis algorithm convergence analysis computational complexity analysis thermal simulation algorithm finite difference method scheme Grunwald-Letnikov fractional derivative

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Investigation of Heat Diffusion at Nanoscale Based on thermal Analysis of Real Test Structure

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ENERGIES 2020年第9期13卷 2379页

作者： Raszkowski, Tomasz Zubert, Mariusz Lodz Univ Technol Dept Microelect & Comp Sci Fac Elect Elect Comp & Control Engn PL-90924 Lodz Poland

This paper presents an analysis related to thermal simulation of the test structure dedicated to heat-diffusion investigation at the nanoscale. The test structure consists of thin platinum resistors mounted on wafer made of silicon dioxide. A bottom part of the structure contains the silicon layer. simulations were carried out based on the thermal simulator prepared by the authors. simulation results were compared with real measurement outputs yielded for the mentioned test structure. The authors also propose the Grunwald-Letnikov fractional space-derivative Dual-Phase-Lag heat transfer model as a more accurate model than the classical Fourier-Kirchhoff (F-K) heat transfer model. The approximation schema of proposed model is also proposed. The accuracy and computational properties of both numerical algorithms are presented in detail.

关键词： Dual-Phase-Lag heat transfer model thermal simulation algorithm thermal measurements Finite Difference Method scheme Grunwald-Letnikov fractional derivative

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