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Melting and solidification processes are often affected by natural convection of the liquid, posing a multi-physics problem involving fluid flow, convective and diffusive heat transfer, and phase-change reactions. Enthalpy methods formulate…

Computational Physics · Physics 2020-09-08 Alexander Gary Zimmerman , Julia Kowalski

This work expands on our recently introduced low Mach enthalpy method [1] for simulating the melting and solidification of a phase change material (PCM) alongside (or without) an ambient gas phase. The method captures PCM's volume change…

Fluid Dynamics · Physics 2025-03-11 Ramakrishnan Thirumalaisamy , Amneet Pal Singh Bhalla

We introduce a meshfree collocation framework to model the phase change from liquid to vapor at or above the boiling point. While typical vaporization or boiling simulations focus on the vaporization from the bulk of the fluid, here we…

Fluid Dynamics · Physics 2023-03-22 Pratik Suchde , Heinrich Kraus , Benjamin Bock-Marbach , Joerg Kuhnert

One of the prevailing challenges in Computational Fluid Dynamics is accurate simulation of two-phase flows involving heat and mass transfer across the fluid interface. This is currently an active field of research, which is to some extend…

Fluid Dynamics · Physics 2021-03-02 Henning Scheufler , Johan Roenby

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

We present a strategy for the numerical solution of convection-coupled phase-transition problems, with focus on solidification and melting. We solve for the temperature and flow fields over time. The position of the phase-change interface…

Numerical Analysis · Mathematics 2022-02-28 Leonardo Boledi , Benjamin Terschanski , Stefanie Elgeti , Julia Kowalski

Modeling phase change problems numerically is vital for understanding many natural (e.g., ice formation, steam generation) and engineering processes (e.g., casting, welding, additive manufacturing). Almost all phase change materials (PCMs)…

Fluid Dynamics · Physics 2023-09-18 Ramakrishnan Thirumalaisamy , Amneet Pal Singh Bhalla

Water-ice systems undergoing melting develop complex spatio-temporal interface dynamics and a non-trivial temperature field. In this contribution, we present computational aspects of a recently conducted validation study that aims at…

Fluid Dynamics · Physics 2018-01-12 K. Schüller , B. Berkels , J. Kowalski

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

Materials Science · Physics 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

The rate of melting of a solid and the rate of deformation of the resulting melt due to capillary forces are comparable in additive manufacturing applications. This dynamic structural change of a melting solid is extremely challenging to…

Computational Physics · Physics 2018-04-18 Michael Blank , Prapanch Nair , Thorsten Pöschel

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Metal additive manufacturing via laser-based powder bed fusion (PBF-LB/M) faces performance-critical challenges due to complex melt pool and vapor dynamics, often oversimplified by computational models that neglect crucial aspects, such as…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Magdalena Schreter-Fleischhacker , Nils Much , Peter Munch , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

This work presents a unified numerical framework for simulating incompressible flows within the coupled fluid-porous-medium system and involving heat and solute transport and phase-changing process. A complete set of governing equations is…

Fluid Dynamics · Physics 2026-01-28 Rongfu Guo , Yantao Yang

We construct a phase field model including hydrodynamics and elasticity in one-component systems. It can be used to investigate solid-liquid and liquid-liquid phase transitions. Upon first-order phase transition, a velocity field is induced…

Soft Condensed Matter · Physics 2015-03-13 Kyohei Takae , Akira Onuki

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…

Fluid Dynamics · Physics 2026-03-25 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang , Xi Liu

We develop and analyse the first second-order phase-field model to combine melting and dissolution in multi-component flows. This provides a simple and accurate way to simulate challenging phase-change problems in existing codes.…

Computational Physics · Physics 2020-12-09 Eric W. Hester , Louis-Alexandre Couston , Benjamin Favier , Keaton J. Burns , Geoffrey M. Vasil

Reservoir simulators utilize numerical techniques to solve the governing equations of fluid flow in porous media and they are essential tool for oil and gas fields development. In practical reservoir simulation, the finite difference method…

Fluid Dynamics · Physics 2023-11-14 Taofik H. Nassan , Mohd Amro

Unstructured meshes are among the most versatile approaches for capturing non-canonical geometries in fluid dynamics simulations. Despite this, most high-fidelity first-principles phase-change models are developed and applied on structured…

Computational Physics · Physics 2026-04-17 Jan Kren , Bojan Ničeno , Yohei Sato

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

Numerical Analysis · Mathematics 2019-05-21 Andrew Loeb , Christopher Earls

Thermal multi-phase flow simulations are indispensable to understanding the multi-scale and multi-physics phenomena in metal additive manufacturing (AM) processes, yet accurate and robust predictions remain challenging. This book chapter…

Computational Engineering, Finance, and Science · Computer Science 2022-06-13 Jinhui Yan , Qiming Zhu , Ze Zhao
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