Topological Optimization of a 2D Microfluidic Channel for Particle Separation
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Abstract
This study presents an advanced computational framework that integrates a finite-difference Navier--Stokes solver, a SIMP-based topology optimization engine, and a Lagrangian particle advection module into a unified, iteratively coupled pipeline for physics-driven geometric design. The framework autonomously evolves the internal material distribution of a 2D microchannel by minimizing an objective function that directly quantifies particle mis-sorting, eliminating reliance on manual heuristic design and external actuation forces. Applied to the problem of passive microfluidic particle separation, the computational approach generated manufacturable, binary-material topologies across five optimization iterations, achieving a peak sorting efficiency of $\Phi = 0.6667$ (66.67%) at iteration~2 and stabilizing at $\Phi = 0.6111$ (61.11%) in subsequent iterations. The results demonstrate that physics-based iterative optimization can autonomously discover non-intuitive channel geometries that outperform conventional heuristic designs in adaptability and separation robustness. This work contributes a modular, extensible computing methodology applicable to a broad class of constrained geometric optimization problems in engineering systems.
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References
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Cite This Article
TY - JOUR AU - Raza, Kumail AU - Hussain, Sayed Akif AU - Ali, Saqib AU - Hussain, Syed Amer AU - Hussain, Syed Atif PY - 2026 DA - 2026/02/08 TI - Topological Optimization of a 2D Microfluidic Channel for Particle Separation JO - ICCK Transactions on Advanced Computing and Systems T2 - ICCK Transactions on Advanced Computing and Systems JF - ICCK Transactions on Advanced Computing and Systems VL - 2 IS - 2 SP - 74 EP - 84 DO - 10.62762/TACS.2025.192275 UR - https://www.icck.org/article/abs/TACS.2025.192275 KW - topology optimization KW - advanced computing framework KW - SIMP penalization KW - Navier-Stokes solver KW - Lagrangian particle advection KW - physics-driven geometric optimization AB - This study presents an advanced computational framework that integrates a finite-difference Navier--Stokes solver, a SIMP-based topology optimization engine, and a Lagrangian particle advection module into a unified, iteratively coupled pipeline for physics-driven geometric design. The framework autonomously evolves the internal material distribution of a 2D microchannel by minimizing an objective function that directly quantifies particle mis-sorting, eliminating reliance on manual heuristic design and external actuation forces. Applied to the problem of passive microfluidic particle separation, the computational approach generated manufacturable, binary-material topologies across five optimization iterations, achieving a peak sorting efficiency of $\Phi = 0.6667$ (66.67%) at iteration~2 and stabilizing at $\Phi = 0.6111$ (61.11%) in subsequent iterations. The results demonstrate that physics-based iterative optimization can autonomously discover non-intuitive channel geometries that outperform conventional heuristic designs in adaptability and separation robustness. This work contributes a modular, extensible computing methodology applicable to a broad class of constrained geometric optimization problems in engineering systems. SN - 3068-7969 PB - Institute of Central Computation and Knowledge LA - English ER -
@article{Raza2026Topologica,
author = {Kumail Raza and Sayed Akif Hussain and Saqib Ali and Syed Amer Hussain and Syed Atif Hussain},
title = {Topological Optimization of a 2D Microfluidic Channel for Particle Separation},
journal = {ICCK Transactions on Advanced Computing and Systems},
year = {2026},
volume = {2},
number = {2},
pages = {74-84},
doi = {10.62762/TACS.2025.192275},
url = {https://www.icck.org/article/abs/TACS.2025.192275},
abstract = {This study presents an advanced computational framework that integrates a finite-difference Navier--Stokes solver, a SIMP-based topology optimization engine, and a Lagrangian particle advection module into a unified, iteratively coupled pipeline for physics-driven geometric design. The framework autonomously evolves the internal material distribution of a 2D microchannel by minimizing an objective function that directly quantifies particle mis-sorting, eliminating reliance on manual heuristic design and external actuation forces. Applied to the problem of passive microfluidic particle separation, the computational approach generated manufacturable, binary-material topologies across five optimization iterations, achieving a peak sorting efficiency of \$\Phi = 0.6667\$ (66.67\%) at iteration~2 and stabilizing at \$\Phi = 0.6111\$ (61.11\%) in subsequent iterations. The results demonstrate that physics-based iterative optimization can autonomously discover non-intuitive channel geometries that outperform conventional heuristic designs in adaptability and separation robustness. This work contributes a modular, extensible computing methodology applicable to a broad class of constrained geometric optimization problems in engineering systems.},
keywords = {topology optimization, advanced computing framework, SIMP penalization, Navier-Stokes solver, Lagrangian particle advection, physics-driven geometric optimization},
issn = {3068-7969},
publisher = {Institute of Central Computation and Knowledge}
}
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