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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.14063 |
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| _version_ | 1866912335164080128 |
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| author | Collis, Henry Bezgin, Deniz A. Mirjalili, Shahab Mani, Ali |
| author_facet | Collis, Henry Bezgin, Deniz A. Mirjalili, Shahab Mani, Ali |
| contents | In this work, a concise and robust computational framework is proposed to simulate compressible multi-phase multi-component flows. To handle both shocks and material interfaces, a positivity-preserving ENO-type scheme is coupled with multi-phase interface regularization terms. The positivity-preserving limiter is conservative and is applied locally for minimal degradation of the baseline ENO-type scheme. The interface regularization terms are extended from the conservative diffuse interface (CDI) model to accommodate multi-phase, multi-component flows. The ENO-type scheme is designed to be consistent with the thermodynamic equilibrium assumptions of the four-equation multi-phase model, naturally enforcing the interface equilibrium condition - preventing oscillations in pressure, velocity, and temperature around isothermal material interfaces - without requiring additional equations for volume fraction or mixture equation of state parameters, as is commonly done for the five-equation model. Additionally, non-dilute species diffusion models are extended to the multi-phase, multi-component setting. We show that this consistent framework is equally applicable for regimes ranging from single-phase to multi-phase multi-component flows. The proposed models and numerical schemes are implemented in the highly parallel Hypersonic Task based Research (HTR) Solver, and high-resolution simulations are performed using both CPUs and GPUs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14063 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A thermodynamically consistent and robust four-equation model for multi-phase multi-component compressible flows using ENO-type schemes including interface regularization Collis, Henry Bezgin, Deniz A. Mirjalili, Shahab Mani, Ali Fluid Dynamics Computational Physics In this work, a concise and robust computational framework is proposed to simulate compressible multi-phase multi-component flows. To handle both shocks and material interfaces, a positivity-preserving ENO-type scheme is coupled with multi-phase interface regularization terms. The positivity-preserving limiter is conservative and is applied locally for minimal degradation of the baseline ENO-type scheme. The interface regularization terms are extended from the conservative diffuse interface (CDI) model to accommodate multi-phase, multi-component flows. The ENO-type scheme is designed to be consistent with the thermodynamic equilibrium assumptions of the four-equation multi-phase model, naturally enforcing the interface equilibrium condition - preventing oscillations in pressure, velocity, and temperature around isothermal material interfaces - without requiring additional equations for volume fraction or mixture equation of state parameters, as is commonly done for the five-equation model. Additionally, non-dilute species diffusion models are extended to the multi-phase, multi-component setting. We show that this consistent framework is equally applicable for regimes ranging from single-phase to multi-phase multi-component flows. The proposed models and numerical schemes are implemented in the highly parallel Hypersonic Task based Research (HTR) Solver, and high-resolution simulations are performed using both CPUs and GPUs. |
| title | A thermodynamically consistent and robust four-equation model for multi-phase multi-component compressible flows using ENO-type schemes including interface regularization |
| topic | Fluid Dynamics Computational Physics |
| url | https://arxiv.org/abs/2504.14063 |