Abstract
With the continuing downscaling in feature sizes, the thermal impact on material properties and geometrical deformations can no longer be ignored in the analysis of the electromagnetic compatibility or electromagnetic interference of package systems, including System-in-Package and antenna arrays. We present a high-performance numerical simulation program that is intended to perform large-scale multiphysics simulations using the finite element method. An efficient domain decomposition method was developed to accelerate the multiphysics loops of electromagnetic–thermal stress simulations by considering the fact that the electromagnetic field perturbations caused by geometrical deformation are small and constrained in one or a few subdomains. The multi-level parallelism of the algorithm was also obtained based on an in-house developed parallel infrastructure. Numerical examples showed that our algorithm is able to enable simulation with multiple processors in parallel and, more importantly, achieve a significant reduction in computation time compared with traditional methods.
Highlights
Multifunctional integration and miniaturization are the developing directions of modern electronic systems [1,2,3]
We developed an efficient algorithm that could dramatically speed up multiphysics simulations by reusing of the solving space of the domain decomposition method (DDM)
Simulations of large-scale problems with over 100 million unknowns are needed to verify the advantages of the proposed method, and more research is needed to further reduce the execution time for larger problems, especially that of the first multiphysics loop
Summary
Multifunctional integration and miniaturization are the developing directions of modern electronic systems [1,2,3]. Considering the fact that similar problems are solved several times during multiphysics simulations, it is necessary to improve the efficiency of repeated computing where there are mesh deformation/morphing techniques [20,21,22] In this approach, an existing mesh can be smoothly transformed to conform the geometrical modification caused by thermal strains. Instead of a background electromagnetic field, an efficient interpolation by means of subdomain boundary values could be used to obtain much faster convergence of electromagnetic computing, which accelerated the whole multiphysics simulations by several times This method is an efficient implementation of MOR (mode order reduction) by means of the DDM, and the motivation of our work came from the fact that the change of the solving/searching space is quite small during repeated computing.
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