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20242026
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math.OC2026

Adaptive Time Windows for Discrete Adjoint Topology Optimization of Unsteady Flows

Zongyuan Liu, Kentaro Yaji, Musaddiq Al Ali +1

Rather than prescribing an evaluation interval a priori, the proposed framework characterizes each evolving unsteady flow using a sequence of time windows. A consecutive-window con…

math.OC2026

Distortion-minimized de-homogenization for optimization of cell-size distribution in TPMS structures

Hiroki Kawabe, Kaito Ohtani, Yusibo Yang +2

This paper presents a homogenized topology optimization (TO) method for spatially optimizing cell-size distribution of triply-periodic minimal surface (TPMS) structures, with high…

math.OC2025

Homogenization-based optimization of wall thickness distribution for TPMS two-fluid heat exchangers

Kaito Ohtani, Hiroki Kawabe, Kentaro Yaji +2

Triply Periodic Minimal Surface (TPMS) structures are attracting growing attention as promising geometries for next-generation high-performance heat exchangers (HXs), due to their…

math.OC2025

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization

Shuzhi Xu, Yifan Guo, Hiroki Kawabe +1

Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based met…

math.OC2025

Topology optimization of actively moving rigid bodies in unsteady flows

Yuta Tanabe, Kentaro Yaji, Kuniharu Ushijima

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the de…

math.OC2025

Topology optimization for microchannel heat sinks with nanofluids using an Eulerian-Eulerian approach

Chih-Hsiang Chen, Kentaro Yaji

The demand for high-performance heat sinks has significantly increased with advancements in computing power and the miniaturization of electronic devices. Among the promising solut…