Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows
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In the present paper, we discuss implementation details of a free and open-source numerical solver based on the finite volume method for numerical simulation of viscoplastic non-Newtonian fluids. In addition to the fact that they are involved in many industrial applications, both their physical properties and their rheological behavior make them challenging for numerical simulation. Viscoplastic fluids are known to behave as solid unless the shear stress reaches a critical level, known as yield-stress, beyond which they behave as liquid. In most cases, both yielded and unyielded regions coexist in the fluid domain. In mathematical model of viscoplastic fluid, the constitutive equation is a non-differentiable function. This is often overcome by using the approximate constitutive equation that has a regularized form, e.g. the Papanastasiou regularization model. Using the same approach, we assess the influence of regularization parameters on simulation convergence and results accuracy. In... this study, we give implementation details of viscoplastic fluid models in freeCappuccino open-source Computational Fluid Dynamics code. Moreover, we perform validation on several well known benchmark cases and compare proposed approach with those existing in published literature. We also perform a parametric analysis and show the effect of Reynolds and Bingham numbers on the extent of the yielded regions. Conclusions of the study have relevance in practical application of computational fluid dynamics to viscoplastic fluids in particular and to non-Newtonian fluids in general. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Кључне речи:
Bingham fluid / Computational fluid dynamics / Finite volume method / Non-newtonian fluids / Papanastasiou regularizationИзвор:
Lecture Notes in Networks and Systems, 2022, 323, 223-238Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200017 (Универзитет у Београду, Институт за нуклеарне науке Винча, Београд-Винча) (RS-MESTD-inst-2020-200017)
Напомена:
- Proceedings of the International Conference of Experimental and Numerical Investigations and New Technologies, CNNTech 2021 (Zlatibor, Serbia; June 29 - July 2, 2021)
DOI: 10.1007/978-3-030-86009-7_12
ISBN: 9783030860080
ISSN: 2367-3370
Scopus: 2-s2.0-85120623722
Институција/група
VinčaTY - CHAP AU - Mirkov, Nikola S. AU - Ouyahia, Seif Eddine AU - Lahlou, Sara AU - Pezo, Milada L. AU - Jovanović, Rastko D. PY - 2022 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10065 AB - In the present paper, we discuss implementation details of a free and open-source numerical solver based on the finite volume method for numerical simulation of viscoplastic non-Newtonian fluids. In addition to the fact that they are involved in many industrial applications, both their physical properties and their rheological behavior make them challenging for numerical simulation. Viscoplastic fluids are known to behave as solid unless the shear stress reaches a critical level, known as yield-stress, beyond which they behave as liquid. In most cases, both yielded and unyielded regions coexist in the fluid domain. In mathematical model of viscoplastic fluid, the constitutive equation is a non-differentiable function. This is often overcome by using the approximate constitutive equation that has a regularized form, e.g. the Papanastasiou regularization model. Using the same approach, we assess the influence of regularization parameters on simulation convergence and results accuracy. In this study, we give implementation details of viscoplastic fluid models in freeCappuccino open-source Computational Fluid Dynamics code. Moreover, we perform validation on several well known benchmark cases and compare proposed approach with those existing in published literature. We also perform a parametric analysis and show the effect of Reynolds and Bingham numbers on the extent of the yielded regions. Conclusions of the study have relevance in practical application of computational fluid dynamics to viscoplastic fluids in particular and to non-Newtonian fluids in general. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG. T2 - Lecture Notes in Networks and Systems T1 - Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows VL - 323 SP - 223 EP - 238 DO - 10.1007/978-3-030-86009-7_12 ER -
@inbook{ author = "Mirkov, Nikola S. and Ouyahia, Seif Eddine and Lahlou, Sara and Pezo, Milada L. and Jovanović, Rastko D.", year = "2022", abstract = "In the present paper, we discuss implementation details of a free and open-source numerical solver based on the finite volume method for numerical simulation of viscoplastic non-Newtonian fluids. In addition to the fact that they are involved in many industrial applications, both their physical properties and their rheological behavior make them challenging for numerical simulation. Viscoplastic fluids are known to behave as solid unless the shear stress reaches a critical level, known as yield-stress, beyond which they behave as liquid. In most cases, both yielded and unyielded regions coexist in the fluid domain. In mathematical model of viscoplastic fluid, the constitutive equation is a non-differentiable function. This is often overcome by using the approximate constitutive equation that has a regularized form, e.g. the Papanastasiou regularization model. Using the same approach, we assess the influence of regularization parameters on simulation convergence and results accuracy. In this study, we give implementation details of viscoplastic fluid models in freeCappuccino open-source Computational Fluid Dynamics code. Moreover, we perform validation on several well known benchmark cases and compare proposed approach with those existing in published literature. We also perform a parametric analysis and show the effect of Reynolds and Bingham numbers on the extent of the yielded regions. Conclusions of the study have relevance in practical application of computational fluid dynamics to viscoplastic fluids in particular and to non-Newtonian fluids in general. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.", journal = "Lecture Notes in Networks and Systems", booktitle = "Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows", volume = "323", pages = "223-238", doi = "10.1007/978-3-030-86009-7_12" }
Mirkov, N. S., Ouyahia, S. E., Lahlou, S., Pezo, M. L.,& Jovanović, R. D.. (2022). Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows. in Lecture Notes in Networks and Systems, 323, 223-238. https://doi.org/10.1007/978-3-030-86009-7_12
Mirkov NS, Ouyahia SE, Lahlou S, Pezo ML, Jovanović RD. Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows. in Lecture Notes in Networks and Systems. 2022;323:223-238. doi:10.1007/978-3-030-86009-7_12 .
Mirkov, Nikola S., Ouyahia, Seif Eddine, Lahlou, Sara, Pezo, Milada L., Jovanović, Rastko D., "Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows" in Lecture Notes in Networks and Systems, 323 (2022):223-238, https://doi.org/10.1007/978-3-030-86009-7_12 . .