This paper presents a numerical investigation of the solution of the steady-state one-dimensional Drift-Flux Model. It is proposed that these simulations, though often based on finite-volume discretizations and iterative sequential procedures, are preferably performed using established numerical methods specifically devised for Differential-Algebraic Equations (DAE) systems. Both strategies were implemented in a computer code developed for simulations of multicomponent hydrocarbon two-phase flows. The SIMPLER semi-implicit algorithm was employed in the solution of the finite-volume discretized model in order to provide comparison grounds with the adaptive BDF-implementation of DAE integration package DASSLC. Based on test simulations of a naphtha two-phase flow under varying heat-transfer conditions, the DAE approach was proved highly advantageous in terms of computational requirements and accuracy of results, both in the absence and presence of flow-pattern transitions. Numerical difficulties arising from the latter were successfully worked around by continuously switching regime-specific constitutive correlations using adjustable steep regularization functions.
%0 Journal Article
%1 teixeira2017differentialalgebraic
%A Teixeira, Rodrigo G. D.
%A Secchi, Argimiro R.
%A Jr., Evaristo Chalbaud Biscaia
%D 2017
%J Computers & Chemical Engineering
%K 34a09-implicit-odes-daes 65l80-numerical-daes 76t10-liquid-gas-two-phase-flows-bubbly-flows
%P 125-137
%R 10.1016/j.compchemeng.2017.02.045
%T Differential-Algebraic numerical approach to the one-dimensional Drift-Flux Model applied to a multicomponent hydrocarbon two-phase flow.
%U https://www.sciencedirect.com/science/article/abs/pii/S0098135417301096?via%3Dihub
%V 101
%X This paper presents a numerical investigation of the solution of the steady-state one-dimensional Drift-Flux Model. It is proposed that these simulations, though often based on finite-volume discretizations and iterative sequential procedures, are preferably performed using established numerical methods specifically devised for Differential-Algebraic Equations (DAE) systems. Both strategies were implemented in a computer code developed for simulations of multicomponent hydrocarbon two-phase flows. The SIMPLER semi-implicit algorithm was employed in the solution of the finite-volume discretized model in order to provide comparison grounds with the adaptive BDF-implementation of DAE integration package DASSLC. Based on test simulations of a naphtha two-phase flow under varying heat-transfer conditions, the DAE approach was proved highly advantageous in terms of computational requirements and accuracy of results, both in the absence and presence of flow-pattern transitions. Numerical difficulties arising from the latter were successfully worked around by continuously switching regime-specific constitutive correlations using adjustable steep regularization functions.
@article{teixeira2017differentialalgebraic,
abstract = {This paper presents a numerical investigation of the solution of the steady-state one-dimensional Drift-Flux Model. It is proposed that these simulations, though often based on finite-volume discretizations and iterative sequential procedures, are preferably performed using established numerical methods specifically devised for Differential-Algebraic Equations (DAE) systems. Both strategies were implemented in a computer code developed for simulations of multicomponent hydrocarbon two-phase flows. The SIMPLER semi-implicit algorithm was employed in the solution of the finite-volume discretized model in order to provide comparison grounds with the adaptive BDF-implementation of DAE integration package DASSLC. Based on test simulations of a naphtha two-phase flow under varying heat-transfer conditions, the DAE approach was proved highly advantageous in terms of computational requirements and accuracy of results, both in the absence and presence of flow-pattern transitions. Numerical difficulties arising from the latter were successfully worked around by continuously switching regime-specific constitutive correlations using adjustable steep regularization functions.},
added-at = {2022-10-10T02:52:20.000+0200},
author = {Teixeira, Rodrigo G. D. and Secchi, Argimiro R. and Jr., Evaristo Chalbaud Biscaia},
biburl = {https://www.bibsonomy.org/bibtex/2794f094be5bc84a204a41b40c1b0a481/gdmcbain},
doi = {10.1016/j.compchemeng.2017.02.045},
ee = {https://doi.org/10.1016/j.compchemeng.2017.02.045},
interhash = {400dad61f959e591d5b355c2187ba125},
intrahash = {794f094be5bc84a204a41b40c1b0a481},
journal = {Computers & Chemical Engineering},
keywords = {34a09-implicit-odes-daes 65l80-numerical-daes 76t10-liquid-gas-two-phase-flows-bubbly-flows},
pages = {125-137},
timestamp = {2022-10-10T02:54:44.000+0200},
title = {Differential-Algebraic numerical approach to the one-dimensional Drift-Flux Model applied to a multicomponent hydrocarbon two-phase flow.},
url = {https://www.sciencedirect.com/science/article/abs/pii/S0098135417301096?via%3Dihub},
volume = 101,
year = 2017
}