Please use this identifier to cite or link to this item: http://localhost/handle/Hannan/148547
Title: Transient Thermal Analysis of 3-D Integrated Circuits Packages by the DGTD Method
Authors: Ping Li;Yilin Dong;Min Tang;Junfa Mao;Li Jun Jiang;Hakan Ba&x011F;c&x0131;
Year: 2017
Publisher: IEEE
Abstract: Since accurate thermal analysis plays a critical role in the thermal design and management of the 3-D system-level integration, in this paper, a discontinuous Galerkin time-domain (DGTD) algorithm is proposed to achieve this purpose. Such as the parabolic partial differential equation (PDE), the transient thermal equation cannot be directly solved by the DGTD method. To address this issue, the heat flux, as an auxiliary variable, is introduced to reduce the Laplace operator to a divergence operator. The resulting PDE is hyperbolic, which can be further written into a conservative form. By properly choosing the definition of the numerical flux used for the information exchange between neighboring elements, the hyperbolic thermal PDE can be solved by the DGTD together with the auxiliary differential equation. The proposed algorithm is a kind of element-level domain decomposition method, which is suitable to deal with multiscale geometries in 3-D integrated systems. To verify the accuracy and robustness of the developed DGTD algorithm, several representative examples are benchmarked.
URI: http://localhost/handle/Hannan/148547
volume: 7
issue: 6
More Information: 862,
871
Appears in Collections:2017

Files in This Item:
File SizeFormat 
7875407.pdf2.18 MBAdobe PDF
Title: Transient Thermal Analysis of 3-D Integrated Circuits Packages by the DGTD Method
Authors: Ping Li;Yilin Dong;Min Tang;Junfa Mao;Li Jun Jiang;Hakan Ba&x011F;c&x0131;
Year: 2017
Publisher: IEEE
Abstract: Since accurate thermal analysis plays a critical role in the thermal design and management of the 3-D system-level integration, in this paper, a discontinuous Galerkin time-domain (DGTD) algorithm is proposed to achieve this purpose. Such as the parabolic partial differential equation (PDE), the transient thermal equation cannot be directly solved by the DGTD method. To address this issue, the heat flux, as an auxiliary variable, is introduced to reduce the Laplace operator to a divergence operator. The resulting PDE is hyperbolic, which can be further written into a conservative form. By properly choosing the definition of the numerical flux used for the information exchange between neighboring elements, the hyperbolic thermal PDE can be solved by the DGTD together with the auxiliary differential equation. The proposed algorithm is a kind of element-level domain decomposition method, which is suitable to deal with multiscale geometries in 3-D integrated systems. To verify the accuracy and robustness of the developed DGTD algorithm, several representative examples are benchmarked.
URI: http://localhost/handle/Hannan/148547
volume: 7
issue: 6
More Information: 862,
871
Appears in Collections:2017

Files in This Item:
File SizeFormat 
7875407.pdf2.18 MBAdobe PDF
Title: Transient Thermal Analysis of 3-D Integrated Circuits Packages by the DGTD Method
Authors: Ping Li;Yilin Dong;Min Tang;Junfa Mao;Li Jun Jiang;Hakan Ba&x011F;c&x0131;
Year: 2017
Publisher: IEEE
Abstract: Since accurate thermal analysis plays a critical role in the thermal design and management of the 3-D system-level integration, in this paper, a discontinuous Galerkin time-domain (DGTD) algorithm is proposed to achieve this purpose. Such as the parabolic partial differential equation (PDE), the transient thermal equation cannot be directly solved by the DGTD method. To address this issue, the heat flux, as an auxiliary variable, is introduced to reduce the Laplace operator to a divergence operator. The resulting PDE is hyperbolic, which can be further written into a conservative form. By properly choosing the definition of the numerical flux used for the information exchange between neighboring elements, the hyperbolic thermal PDE can be solved by the DGTD together with the auxiliary differential equation. The proposed algorithm is a kind of element-level domain decomposition method, which is suitable to deal with multiscale geometries in 3-D integrated systems. To verify the accuracy and robustness of the developed DGTD algorithm, several representative examples are benchmarked.
URI: http://localhost/handle/Hannan/148547
volume: 7
issue: 6
More Information: 862,
871
Appears in Collections:2017

Files in This Item:
File SizeFormat 
7875407.pdf2.18 MBAdobe PDF