%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 }