Paper
A diffuse-interface model for N-phase flows with liquid-solid phase change
Authors
Jiangxu Huang, Chengjie Zhan, Zhenhua Chai, Changsheng Huang, Xi Liu
Abstract
In this work, we first propose a diffuse interface model for simulating N phase flows with solid liquid phase change. In this model, a phase field approach is adopted to capture multiphase fluid interfaces, and an enthalpy based formulation is used to describe the phase change. The volume changes resulting from density differences during phase change are incorporated by introducing a source term into the continuity equation. The method also satisfies the reduction consistent property, allowing it to rigorously degenerate to both the conservative phase field method for N phase flows and the classical enthalpy method for solid liquid phase change. Then a coupled lattice Boltzmann (LB) method is developed to solve this diffuse interface model. Some numerical tests, including film freezing, single droplet freezing, and compound droplet freezing are performed, and the results are in good agreement with the analytical solutions and data reported in the previous works. Furthermore, the proposed method is applied to study freezing dynamics of complex systems with insoluble impurities, capturing the interaction between the advancing freezing front and embedded impurities. It is found that the proposed diffuse interface method is accurate and efficient for studying N phase systems with phase change.
Metadata
Related papers
Fractal universe and quantum gravity made simple
Fabio Briscese, Gianluca Calcagni • 2026-03-25
POLY-SIM: Polyglot Speaker Identification with Missing Modality Grand Challenge 2026 Evaluation Plan
Marta Moscati, Muhammad Saad Saeed, Marina Zanoni, Mubashir Noman, Rohan Kuma... • 2026-03-25
LensWalk: Agentic Video Understanding by Planning How You See in Videos
Keliang Li, Yansong Li, Hongze Shen, Mengdi Liu, Hong Chang, Shiguang Shan • 2026-03-25
Orientation Reconstruction of Proteins using Coulomb Explosions
Tomas André, Alfredo Bellisario, Nicusor Timneanu, Carl Caleman • 2026-03-25
The role of spatial context and multitask learning in the detection of organic and conventional farming systems based on Sentinel-2 time series
Jan Hemmerling, Marcel Schwieder, Philippe Rufin, Leon-Friedrich Thomas, Mire... • 2026-03-25
Raw Data (Debug)
{
"raw_xml": "<entry>\n <id>http://arxiv.org/abs/2603.22902v1</id>\n <title>A diffuse-interface model for N-phase flows with liquid-solid phase change</title>\n <updated>2026-03-24T07:51:12Z</updated>\n <link href='https://arxiv.org/abs/2603.22902v1' rel='alternate' type='text/html'/>\n <link href='https://arxiv.org/pdf/2603.22902v1' rel='related' title='pdf' type='application/pdf'/>\n <summary>In this work, we first propose a diffuse interface model for simulating N phase flows with solid liquid phase change. In this model, a phase field approach is adopted to capture multiphase fluid interfaces, and an enthalpy based formulation is used to describe the phase change. The volume changes resulting from density differences during phase change are incorporated by introducing a source term into the continuity equation. The method also satisfies the reduction consistent property, allowing it to rigorously degenerate to both the conservative phase field method for N phase flows and the classical enthalpy method for solid liquid phase change. Then a coupled lattice Boltzmann (LB) method is developed to solve this diffuse interface model. Some numerical tests, including film freezing, single droplet freezing, and compound droplet freezing are performed, and the results are in good agreement with the analytical solutions and data reported in the previous works. Furthermore, the proposed method is applied to study freezing dynamics of complex systems with insoluble impurities, capturing the interaction between the advancing freezing front and embedded impurities. It is found that the proposed diffuse interface method is accurate and efficient for studying N phase systems with phase change.</summary>\n <category scheme='http://arxiv.org/schemas/atom' term='physics.flu-dyn'/>\n <published>2026-03-24T07:51:12Z</published>\n <arxiv:comment>19 pages, 13 figures</arxiv:comment>\n <arxiv:primary_category term='physics.flu-dyn'/>\n <author>\n <name>Jiangxu Huang</name>\n </author>\n <author>\n <name>Chengjie Zhan</name>\n </author>\n <author>\n <name>Zhenhua Chai</name>\n </author>\n <author>\n <name>Changsheng Huang</name>\n </author>\n <author>\n <name>Xi Liu</name>\n </author>\n </entry>"
}