A unified framework for N-phase Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with non-matching densities
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915219019661312 |
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| author | Eikelder, M. F. P. ten |
| author_facet | Eikelder, M. F. P. ten |
| contents | Over the past few decades, numerous N-phase incompressible diffuse-interface flow models with non-matching densities have been proposed. Despite aiming to describe the same physics, these models are generally distinct, and an overarching modeling framework is absent. This paper provides a unified framework for N-phase incompressible Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with a single momentum equation. The framework naturally emerges from continuum mixture theory, exhibits an energy-dissipative structure, and is invariant to the choice of fundamental variables. This opens the door to exploring connections between existing N-phase models and facilitates the computation of N-phase flow models rooted in continuum mixture theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_20145 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A unified framework for N-phase Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with non-matching densities Eikelder, M. F. P. ten Fluid Dynamics Mathematical Physics Analysis of PDEs 76T30, 35Q35, 35R37, 76D05, 76D45, 80A99 Over the past few decades, numerous N-phase incompressible diffuse-interface flow models with non-matching densities have been proposed. Despite aiming to describe the same physics, these models are generally distinct, and an overarching modeling framework is absent. This paper provides a unified framework for N-phase incompressible Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with a single momentum equation. The framework naturally emerges from continuum mixture theory, exhibits an energy-dissipative structure, and is invariant to the choice of fundamental variables. This opens the door to exploring connections between existing N-phase models and facilitates the computation of N-phase flow models rooted in continuum mixture theory. |
| title | A unified framework for N-phase Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with non-matching densities |
| topic | Fluid Dynamics Mathematical Physics Analysis of PDEs 76T30, 35Q35, 35R37, 76D05, 76D45, 80A99 |
| url | https://arxiv.org/abs/2407.20145 |