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The present paper describes the development of a novel and comprehensive computational framework to simulate solidification problems in materials processing, specifically casting processes. Heat transfer, solidification and fluid flow due…

Numerical Analysis · Computer Science 2020-10-06 Shantanu Shahane , Narayana Aluru , Placid Ferreira , Shiv G Kapoor , Surya Pratap Vanka

We present the second set of benchmark problems for phase field models that are being jointly developed by the Center for Hierarchical Materials Design (CHiMaD) and the National Institute of Standards and Technology (NIST) along with input…

Dendrites are one of the most widely observed patterns in nature and occur across a wide spectrum of physical phenomena. In solidification and growth patterns in metals and crystals, the multi-level branching structures of dendrites pose a…

Numerical Analysis · Mathematics 2022-11-17 Kunal Bhagat , Shiva Rudraraju

In this paper the development of a physically consistent phase-field theory of solidification shrinkage is presented. The coarse-grained hydrodynamic equations are derived directly from the N-body Hamiltonian equations in the framework of…

Materials Science · Physics 2020-02-28 Gyula I. Toth , Wenyue Ma

Recently, a new alloy solidification benchmark, called AFRODITE, with well-defined setups and state-of-the-art measurements has emerged, enabling a thorough assessment of MacroSegregation (MS) solvers, particularly in terms of their ability…

Fluid Dynamics · Physics 2024-12-31 Ali Moeinirad , Ehsan Amani

Microstructures forming during ternary eutectic directional solidification processes have significant influence on the macroscopic mechanical properties of metal alloys. For a realistic simulation, we use the well established…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-05 Martin Bauer , Johannes Hötzer , Philipp Steinmetz , Marcus Jainta , Marco Berghoff , Florian Schornbaum , Christian Godenschwager , Harald Köstler , Britta Nestler , Ulrich Rüde

Segregation and mixing of granular mixtures during heap formation have important consequences in industry and agriculture. This research investigates three different final particle configurations of bi-disperse granular mixtures --…

Soft Condensed Matter · Physics 2012-12-03 Yi Fan , Youcef Boukerkour , Thibault Blanc , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

Phase-field models of microstructural pattern formation during alloy solidification are commonly solved numerically using the finite-difference method, which is ideally suited to carry out computationally efficient simulations on massively…

Materials Science · Physics 2022-02-17 Kaihua Ji , Amirhossein Molavi Tabrizi , Alain Karma

We present a continuum approach to model segregation of size-bidisperse granular materials in unsteady bounded heap flow as a prototype for modeling segregation in other time varying flows. In experiments, a periodically modulated feed rate…

Soft Condensed Matter · Physics 2022-08-02 Hongyi Xiao , Zhekai Deng , Julio M. Ottino , Paul B. Umbanhowar , Richard M. Lueptow

We introduce a collection of benchmark problems in 2D and 3D (geometry description and boundary conditions), including simple cases with known analytic solution, classical experimental setups, and complex geometries with fabricated…

Computational Engineering, Finance, and Science · Computer Science 2021-12-13 Zizhou Huang , Teseo Schneider , Minchen Li , Chenfanfu Jiang , Denis Zorin , Daniele Panozzo

Grain microstructures are crucial to the mechanical properties, performance, and often lifetime of metallic components. Hence, the prediction of grain microstructures emerging from solidification processes at relevant macroscopic scale is…

Materials Science · Physics 2025-04-18 Salem Mosbah , Rodrigo Gómez Vázquez , Constantin Zenz , Damien Tourret , Andreas Otto

Molecular structure generation is a fundamental problem that involves determining the 3D positions of molecules' constituents. It has crucial biological applications, such as molecular docking, protein folding, and molecular design. Recent…

Machine Learning · Computer Science 2025-08-27 Wenyin Zhou , Christopher Iliffe Sprague , Vsevolod Viliuga , Matteo Tadiello , Arne Elofsson , Hossein Azizpour

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

Segregation patterns of size-bidisperse particle mixtures in a fully-three-dimensional flow produced by alternately rotating a spherical tumbler about two perpendicular axes are studied over a range of particle sizes and volume ratios using…

Soft Condensed Matter · Physics 2019-07-03 Mengqi Yu , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

The solidification behavior of liquid metal in a container under rapid cooling process is one of the major concerns to be analyzed. In order to analyze its fundamental behavior, a three- dimensional (3D) fluid dynamics simulation was…

Fluid Dynamics · Physics 2013-09-18 Raden Ahnaf Faqih S , Christian Fredy Naa

We study the steady state resulting from instabilities in crystals driven through a dissipative medium, for instance, a colloidal crystal which is steadily sedimenting through a viscous fluid. The problem involves two coupled fields, the…

Statistical Mechanics · Physics 2009-10-31 Rangan Lahiri , Mustansir Barma , Sriram Ramaswamy

SAM, a plant-level system analysis tool for advanced reactors (SFR, LFR, MSR/FHR) is under development at Argonne. As a modern system code, SAM aims to improve the predictions of 3D flows relevant to reactor safety during transient…

Fluid Dynamics · Physics 2020-05-04 Yangmo Zhu , Nam Dinh , Rui Hu , Adam Kraus

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…

In this paper, a lattice Boltzmann model is proposed to simulate solid-liquid phase change phenomena in multiphase systems. The model couples the thermal properties of the solidification front with the dynamics of the liquid droplet…

Fluid Dynamics · Physics 2024-04-04 Jiangxu Huang , Lei Wang , Zhenhua Chai , Baochang Shi

We give a general phenomenological description of the steady state 1D front propagation problem in two cases: the solidification of a pure material and the isothermal solidification of two component dilute alloys. The solidification of a…

Materials Science · Physics 2015-06-03 Efim A. Brener , D. E. Temkin
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