{"title":"Monolithic Newton-Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows","authors":"Naheed Begum, Abderrahim Ouazzi, Stefan Turek","doi":"10.1002/fld.5360","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton-Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton-Multigrid FEM solver for obtaining accurate solutions. To put our work in proper perspective w.r.t. the delicate challenge of obtaining accurate numerical solutions for TVP flow problems, we content our investigation to TVP quasi-Newtonian modeling approach with an extensive analysis on lid-driven cavity flows, and expose the impact of thixotropic scale in 4:1 contraction configuration application. fldauth.cls class file for setting papers for the <i>International Journal for Numerical Methods in Fluids</i>. Copyright 2010 John Wiley & Sons Ltd.</p><p>In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton-Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton-Multigrid FEM solver for obtaining accurate solutions. To put our work in proper perspective w.r.t. the delicate challenge of obtaining accurate numerical solutions for TVP flow problems, we restrict our investigation to TVP quasi-Newtonian modeling approach and lid-driven cavity flows.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"565-604"},"PeriodicalIF":1.7000,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5360","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical Methods in Fluids","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/fld.5360","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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Abstract
In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton-Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton-Multigrid FEM solver for obtaining accurate solutions. To put our work in proper perspective w.r.t. the delicate challenge of obtaining accurate numerical solutions for TVP flow problems, we content our investigation to TVP quasi-Newtonian modeling approach with an extensive analysis on lid-driven cavity flows, and expose the impact of thixotropic scale in 4:1 contraction configuration application. fldauth.cls class file for setting papers for the International Journal for Numerical Methods in Fluids. Copyright 2010 John Wiley & Sons Ltd.
In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton-Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton-Multigrid FEM solver for obtaining accurate solutions. To put our work in proper perspective w.r.t. the delicate challenge of obtaining accurate numerical solutions for TVP flow problems, we restrict our investigation to TVP quasi-Newtonian modeling approach and lid-driven cavity flows.
期刊介绍：
The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction.
Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review.
The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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