dorsal/arxiv
View SchemaVolume penalization method for simulating flows around a rotating solid with multiple reference frame and sliding mesh
| Authors | Ming Liu, Yosuke Hasegawa |
|---|---|
| Categories | |
| ArXiv ID | 2601.10230vv1 |
| URL | https://arxiv.org/abs/2601.10230 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Despite the significant role of turbomachinery in fluid-based energy transfer, precise simulation of rotating solid objects with complex geometry is a challenging task. In the present study, the volume penalization method (VPM) is combined with multiple reference frame (MRF) and sliding mesh (SLM), respectively, so as to develop immersed-boundary approaches for simulating flows around a rotating solid. The level-set function is adopted to represent arbitrary geometries embedded in Cartesian grids. The VPM body-forcing terms in the momentum equation are proposed for MRF and SLM, respectively, so as to build unified governing equations for both fluid and solid regions. The flows around a rotating cuboid under various rotating speeds are simulated by the present schemes, namely, VPM with MRF, and VPM with SLM, and compared to corresponding simulations by the body-fitted method (BFM). The results suggest the relative deviations of predicted pressure drop and torque between the present VPM and BFM are around 5%, demonstrating the validity of the present VPM.
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"abstract": "Despite the significant role of turbomachinery in fluid-based energy transfer, precise simulation of rotating solid objects with complex geometry is a challenging task. In the present study, the volume penalization method (VPM) is combined with multiple reference frame (MRF) and sliding mesh (SLM), respectively, so as to develop immersed-boundary approaches for simulating flows around a rotating solid. The level-set function is adopted to represent arbitrary geometries embedded in Cartesian grids. The VPM body-forcing terms in the momentum equation are proposed for MRF and SLM, respectively, so as to build unified governing equations for both fluid and solid regions. The flows around a rotating cuboid under various rotating speeds are simulated by the present schemes, namely, VPM with MRF, and VPM with SLM, and compared to corresponding simulations by the body-fitted method (BFM). The results suggest the relative deviations of predicted pressure drop and torque between the present VPM and BFM are around 5%, demonstrating the validity of the present VPM.",
"arxiv_id": "2601.10230",
"authors": [
"Ming Liu",
"Yosuke Hasegawa"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Volume penalization method for simulating flows around a rotating solid with multiple reference frame and sliding mesh",
"url": "https://arxiv.org/abs/2601.10230",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
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"variant": "snapshot-2026-01-17",
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