An efficient discrete unified gas kinetic scheme for strongly inhomogeneous fluids at the nanoscale
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917101918224384 |
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| author | Liu, Huipeng Guo, Zhaoli |
| author_facet | Liu, Huipeng Guo, Zhaoli |
| contents | The kinetic model with multiple integral terms based on the Enskog-Vlasov(EV) equation is widely employed to describe the inhomogeneous fluids at the nanoscale. However, previous studies have mainly focused on one-dimensional cases, partly due to the significant computational cost $O(NN_σ)$ associated with direct computation of integrals, where $N$ is the number of cells in the flow field and $N_σ$ is the number of cells in a cube with a side length equal to the molecular diameter $σ$. In this study, we propose a discrete unified gas kinetic scheme (DUGKS) with efficient numerical strategies for integrals to overcome the inefficiency of the direct method, reducing the computational cost to $O(N)$. Both accuracy and efficiency of the proposed DUGKS are assessed through several test cases, including static fluid structures and force-driven flow dynamics in parallel plate channels. As example applications, pressure-driven flow between two flat plates and force-driven flow in a square duct are investigated to highlight distinctive phenomena at the nanoscale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An efficient discrete unified gas kinetic scheme for strongly inhomogeneous fluids at the nanoscale Liu, Huipeng Guo, Zhaoli Fluid Dynamics The kinetic model with multiple integral terms based on the Enskog-Vlasov(EV) equation is widely employed to describe the inhomogeneous fluids at the nanoscale. However, previous studies have mainly focused on one-dimensional cases, partly due to the significant computational cost $O(NN_σ)$ associated with direct computation of integrals, where $N$ is the number of cells in the flow field and $N_σ$ is the number of cells in a cube with a side length equal to the molecular diameter $σ$. In this study, we propose a discrete unified gas kinetic scheme (DUGKS) with efficient numerical strategies for integrals to overcome the inefficiency of the direct method, reducing the computational cost to $O(N)$. Both accuracy and efficiency of the proposed DUGKS are assessed through several test cases, including static fluid structures and force-driven flow dynamics in parallel plate channels. As example applications, pressure-driven flow between two flat plates and force-driven flow in a square duct are investigated to highlight distinctive phenomena at the nanoscale. |
| title | An efficient discrete unified gas kinetic scheme for strongly inhomogeneous fluids at the nanoscale |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2511.11195 |