Two-stage cGAN-ridge surrogate for battery cold plate topology design

Topology optimisation of liquid-cooled battery cold plates requires repeated computational-fluid-dynamics (CFD) solutions. This cost limits design-space exploration. This study develops a two-stage surrogate for candidate generation and screening. Stage 1 uses a FiLM-conditioned conditional generative adversarial network to generate topology, temperature, and pressure fields from operating conditions. It produces 256 × 256 fields in about 35 ms. On 71 holdout cases, it gives a topology IoU of 0.704 and a temperature SSIM of 0.692. The outlet mean temperature exceeds the inlet mean temperature in all cases. Connectivity holds in 57 of 71 cases and mean pressure monotonicity is 66.9%. Stage 2 uses Ridge regression with geometry and operating-condition features to rank candidates. The main evaluation is geometry-grouped five-fold cross-validation, repeated over three seeds. Ridge gives 𝑅 2 = 0 . 3 1 1 –0.607 and Spearman 𝜌 = 0 . 7 6 1 –0.830 for the three temperature targets. It does not predict pressure drop reliably ( 𝑅 2 = − 0 . 0 0 9 , 𝜌 = 0 . 0 6 9 ). Pressure drop is therefore excluded from the automated score and is checked by CFD. A nested grouped comparison shows that tree-based models are promising offline alternatives, but they have not been deployed in the workflow. The method is a constraint-penalised surrogate, not a PDE-residual model. The workflow is designed to send only 2–3 of 20 candidates to CFD verification, which would remove most CFD runs from a full screening sweep. This reduction target has not yet been validated against a full-CFD ranking of all 20 candidates. Full CFD verification remains required for final design selection.

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Publication Details

Journal
Applied Thermal Engineering
Published
2026-10-12
DOI
https://doi.org/10.1016/j.applthermaleng.2026.133314
Primary Topic
Topology Optimization in Engineering
Type
article
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article

Two-stage cGAN-ridge surrogate for battery cold plate topology design

Kexiang Wei, Akhil Garg, Hai Hung Pham, Phi Long Nguyen et al.
Applied Thermal Engineering
Topology Optimization in Engineering
article

Two-stage cGAN-ridge surrogate for battery cold plate topology design

Kexiang Wei, Akhil Garg, Hai Hung Pham, Phi Long Nguyen, Jonghoon Kim, Puneeth D. Shetty
article en

Abstract

Topology optimisation of liquid-cooled battery cold plates requires repeated computational-fluid-dynamics (CFD) solutions. This cost limits design-space exploration. This study develops a two-stage surrogate for candidate generation and screening. Stage 1 uses a FiLM-conditioned conditional generative adversarial network to generate topology, temperature, and pressure fields from operating conditions. It produces 256 × 256 fields in about 35 ms. On 71 holdout cases, it gives a topology IoU of 0.704 and a temperature SSIM of 0.692. The outlet mean temperature exceeds the inlet mean temperature in all cases. Connectivity holds in 57 of 71 cases and mean pressure monotonicity is 66.9%. Stage 2 uses Ridge regression with geometry and operating-condition features to rank candidates. The main evaluation is geometry-grouped five-fold cross-validation, repeated over three seeds. Ridge gives 𝑅 2 = 0 . 3 1 1 –0.607 and Spearman 𝜌 = 0 . 7 6 1 –0.830 for the three temperature targets. It does not predict pressure drop reliably ( 𝑅 2 = − 0 . 0 0 9 , 𝜌 = 0 . 0 6 9 ). Pressure drop is therefore excluded from the automated score and is checked by CFD. A nested grouped comparison shows that tree-based models are promising offline alternatives, but they have not been deployed in the workflow. The method is a constraint-penalised surrogate, not a PDE-residual model. The workflow is designed to send only 2–3 of 20 candidates to CFD verification, which would remove most CFD runs from a full screening sweep. This reduction target has not yet been validated against a full-CFD ranking of all 20 candidates. Full CFD verification remains required for final design selection.

Applied Thermal EngineeringVol. 308
National Institute of Technology Calicut (IN), Chungnam National University (KR), Hunan Institute of Engineering (CN), VinUniversity (VN), Hanoi University of Industry (VN), Xi’an Jiaotong-Liverpool University (CN)
Openalex Percentile: Top 18%
Topology Optimization in Engineering
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