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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.04833 |
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Table of Contents:
- This paper presents an adjoint-assisted, topology-optimization-inspired approach for analyzing topological sensitivities in fluid domains based on porous media formulations -- without directly utilizing the porosity field as a design variable. Instead, the method evaluates the sensitivity with respect to the porosity parameter via an indirect, adjoint formulation, enabling intuitive visualization of cost-functional improving or deteriorating regions. These sensitivity fields are not used in a classical optimization loop but rather to qualitatively assess spatial areas that indicate potential for flow improvement. A key benefit of the proposed approach is its non-intrusive nature: no modifications to existing adjoint solvers, e.g., for shape optimization purposes, are required. As such, the method can be interpreted as an alternative post-processing step that supports early-stage design insights. The approach is demonstrated on a Flettner rotor operating in atmospheric wind at a diameter-based Reynolds number and spinning ratio of ReD=2E+06 as well as k=3 to highlight its practical relevance and interpretability. Placing a container stack in cost-functional improving or deteriorating areas validates the method's prediction quality of topological flow sensitivities.