Adjoint-Assisted Topology-Optimization-Inspired Analysis of Pseudo-Porous Flow Fields: Application to a Flettner Rotor
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910932439924736 |
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| author | Kühl, Niklas |
| author_facet | Kühl, Niklas |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04833 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adjoint-Assisted Topology-Optimization-Inspired Analysis of Pseudo-Porous Flow Fields: Application to a Flettner Rotor Kühl, Niklas Fluid Dynamics 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. |
| title | Adjoint-Assisted Topology-Optimization-Inspired Analysis of Pseudo-Porous Flow Fields: Application to a Flettner Rotor |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2505.04833 |