TY  - 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 . .