A linear-time approach for the transient thermal simulation of liquid-cooled 3D ICs

Due to their compact structure, three-dimensional integrated circuits (3D ICs) present thermal dissipation issues. Integrated microchannels are emerging as a viable solution to dissipate the heat flux generated by 3D ICs. Several models have been proposed in literature to study different microchannel designs, but generally with low simulation performance. In this paper, we present an efficient model to simulate the transient thermal behaviour of 3D ICs using microchannels. This work introduces a novel low-footprint model based on adaptive discretization grids to deal with the complex geometry of 3D ICs. Additionally, we use the operator splitting method to compute the transient temperature with linear time in the number of grid cells. Our approach is compared with state-of-the art models and reports a 100× speedup while maintaining the same level of accuracy. Finally, using our methodology we demonstrate the importance of modelling the contribution to thermal dissipation of through silicon vias used for power distribution, which are usually neglected in state-of-the-art contributions.

[1]  R. Pease,et al.  High-performance heat sinking for VLSI , 1981, IEEE Electron Device Letters.

[2]  David Atienza,et al.  3D-ICE: Fast compact transient thermal modeling for 3D ICs with inter-tier liquid cooling , 2010, 2010 IEEE/ACM International Conference on Computer-Aided Design (ICCAD).

[3]  Sachin S. Sapatnekar,et al.  High-Efficiency Green Function-Based Thermal Simulation Algorithms , 2007, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[4]  Y. Joshi,et al.  Optimization study of stacked micro-channel heat sinks for micro-electronic cooling , 2002, ITherm 2002. Eighth Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (Cat. No.02CH37258).

[5]  David Atienza,et al.  Energy-efficient variable-flow liquid cooling in 3D stacked architectures , 2010, 2010 Design, Automation & Test in Europe Conference & Exhibition (DATE 2010).

[6]  James Demmel,et al.  A Supernodal Approach to Sparse Partial Pivoting , 1999, SIAM J. Matrix Anal. Appl..

[7]  Samuel D. Conte,et al.  Elementary Numerical Analysis: An Algorithmic Approach , 1975 .

[8]  G. P. Peterson,et al.  Microscale Heat Conduction , 2008 .

[9]  Sachin S. Sapatnekar,et al.  Placement of thermal vias in 3-D ICs using various thermal objectives , 2006, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[10]  C. Sobhan,et al.  Microscale and Nanoscale Heat Transfer: Fundamentals and Engineering Applications , 2008 .

[11]  Charlie Chung-Ping Chen,et al.  3-D Thermal-ADI: a linear-time chip level transient thermal simulator , 2002, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[12]  Sungjun Im,et al.  Integrated Microchannel Cooling for Three-Dimensional Electronic Circuit Architectures , 2005 .

[13]  Zhuo Feng,et al.  Fast thermal analysis on GPU for 3D-ICs with integrated microchannel cooling , 2010, 2010 IEEE/ACM International Conference on Computer-Aided Design (ICCAD).

[14]  Zhuomin M. Zhang Nano/Microscale Heat Transfer , 2007 .

[15]  Stéphane Colin,et al.  Heat Transfer and Fluid Flow in Minichannels and Microchannels , 2005 .

[16]  Sung Kyu Lim,et al.  Co-design of signal, power, and thermal distribution networks for 3D ICs , 2009, 2009 Design, Automation & Test in Europe Conference & Exhibition.

[17]  Kevin Skadron,et al.  HotSpot: a compact thermal modeling methodology for early-stage VLSI design , 2006, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[18]  Jinuk Luke Shin,et al.  A Power-Efficient High-Throughput 32-Thread SPARC Processor , 2006, 2006 IEEE International Solid State Circuits Conference - Digest of Technical Papers.

[19]  M. Turowski,et al.  Fast, automated thermal simulation of three-dimensional integrated circuits , 2004, The Ninth Intersociety Conference on Thermal and Thermomechanical Phenomena In Electronic Systems (IEEE Cat. No.04CH37543).

[20]  J. Meindl,et al.  Integrated Microfluidic Cooling and Interconnects for 2D and 3D Chips , 2010, IEEE Transactions on Advanced Packaging.

[21]  Sachin S. Sapatnekar,et al.  Thermal and Power Delivery Challenges in 3D ICs , 2010 .

[22]  Robert S. Patti,et al.  Three-Dimensional Integrated Circuits and the Future of System-on-Chip Designs , 2006, Proceedings of the IEEE.