CFL-Violating Numerical Schemes for a Two-Fluid Model

2005 ◽  
Vol 29 (1) ◽  
pp. 83-114 ◽  
Author(s):  
Steinar Evje ◽  
Tore Flåtten
Keyword(s):  
Fluid Model ◽  
Numerical Schemes ◽  
Two Fluid Model ◽  
Two Fluid

scholarly journals The impact of the order of numerical schemes on slug flows modeling

2019 ◽  
Vol 23 (6 Part B) ◽  
pp. 3855-3864
Author(s):  
Azizi Zolfaghary ◽  
Mohammad Naghashzadegan ◽  
Vahid Shokri
Keyword(s):  
Truncation Error ◽  
Fluid Model ◽  
Second Order ◽  
Numerical Schemes ◽  
Third Order ◽  
First Order ◽  
Solution Field ◽  
Two Fluid Model ◽  
The Impact ◽  
Two Fluid

This paper aims to explore the impact of the order of numerical schemes on the simulation of two-phase slug flow with a two-fluid model initiation. The governing equations of the two-fluid model have been solved by a class of Riemann solver. The numerical schemes applied in this paper involve first-order (Lax-Friedrichs and Rusanov), second-order (Ritchmyer), and high-order (flux-corrected transport or FCT and total variance diminishing or TVD). The results suggest that the TVD and FCT are able to predict the slug initiation with high accuracy compared with experimental results. Lax-Friedrichs and Rusanov are both first-order schemes and have second-order truncation error. This second-order truncation error caused numerical diffusion in the solution field and could not predict the slug initiation with high accuracy in contrast to TVD and FCT schemes. Ritchmyer is a second-order scheme and has third-order truncation error. This third-order truncation error caused dispersive results in the solution field and was not a proper scheme.

Weakly Implicit Numerical Schemes for a Two-Fluid Model

2005 ◽  
Vol 26 (5) ◽  
pp. 1449-1484 ◽  
Author(s):  
Steinar Evje ◽  
Tore Flåtten
Keyword(s):  
Fluid Model ◽  
Numerical Schemes ◽  
Two Fluid Model ◽  
Two Fluid

scholarly journals Natural modes of the two-fluid model of two-phase flow

2021 ◽  
Vol 33 (3) ◽  
pp. 033324
Author(s):  
Alejandro Clausse ◽  
Martín López de Bertodano
Keyword(s):  
Two Phase Flow ◽  
Fluid Model ◽  
Phase Flow ◽  
Two Phase ◽  
Natural Modes ◽  
Two Fluid Model ◽  
Two Fluid

Self-consistent hydrodynamic two-fluid model of vortex plasma

2021 ◽  
Vol 33 (3) ◽  
pp. 037116
Author(s):  
Victor L. Mironov
Keyword(s):  
Fluid Model ◽  
Self Consistent ◽  
Two Fluid Model ◽  
Two Fluid

scholarly journals Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
R. Ponalagusamy ◽  
Ramakrishna Manchi
Keyword(s):  
Theoretical Study ◽  
Fluid Model ◽  
Porous Wall ◽  
Governing Equations ◽  
Rate Of Increase ◽  
Special Cases ◽  
Stenosed Artery ◽  
Flow Through ◽  
Two Fluid Model ◽  
Two Fluid

AbstractThe present communication presents a theoretical study of blood flow through a stenotic artery with a porous wall comprising Brinkman and Darcy layers. The governing equations describing the flow subjected to the boundary conditions have been solved analytically under the low Reynolds number and mild stenosis assumptions. Some special cases of the problem are also presented mathematically. The significant effects of the rheology of blood and porous wall of the artery on physiological flow quantities have been investigated. The results reveal that the wall shear stress at the stenotic throat increases dramatically for the thinner porous wall (i.e. smaller values of the Brinkman and Darcy regions) and the rate of increase is found to be 18.46% while it decreases for the thicker porous wall (i.e. higher values of the Brinkman and Darcy regions) and the rate of decrease is found to be 10.21%. Further, the streamline pattern in the stenotic region has been plotted and discussed.

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