TY - JOUR
T1 - FINE-SCALE INTERFACIAL MODELS FOR DISCRETE MULTIPHASE FLOWS WITH CONVECTING DISCONTINUITIES
AU - Al-Naseem, Ahmad A.
AU - Masud, Arif
N1 - Computational resources were provided by the Illinois Campus Cluster at the University of Illinois. This research also used the resources of the Supercomputing Laboratory at King Abdullah University of Science & Technology (KAUST) in Thuwal, Saudi Arabia. This support is gratefully acknowledged.
PY - 2022
Y1 - 2022
N2 - This paper presents a residual-based stabilized formulation for compressible–incompressible multiphase flows on nonoverlapping subdomains with sharp changes in material properties across phase boundaries. The formulation accommodates surface tension effects at the phase boundaries that give rise to jumps in the pressure field. Phase-specific governing equations together with appropriate equations of state are employed in the corresponding subdomains wherein variation in density as a function of pressure is accommodated in the compressible fluid. The new method is endowed with a discontinuity capturing feature that naturally emerges when fine-scale models are embedded with the surface tension term at the discrete interfaces. The method is integrated with the level-set equation to define the evolving interphase interfaces as they traverse through a fixed but otherwise arbitrary Eulerian mesh. The discontinuity capturing feature of the method accurately models steep gradients across the traversing phase boundaries without the need for expensive adaptive remeshings. Surface tension effects that are variationally incorporated in the formulation play an important role in the shape evolution of bubbles and provide flexibility in the modeling of bubble growth, shrinkage, and collapse due to hydrodynamic forces and convective effects. The method effectively models Kelvin–Helmholtz instability, which arises due to shearing velocity across the compressible–incompressible interface between the two fluids that have discontinuous material properties and different governing equations for each of the constituents.
AB - This paper presents a residual-based stabilized formulation for compressible–incompressible multiphase flows on nonoverlapping subdomains with sharp changes in material properties across phase boundaries. The formulation accommodates surface tension effects at the phase boundaries that give rise to jumps in the pressure field. Phase-specific governing equations together with appropriate equations of state are employed in the corresponding subdomains wherein variation in density as a function of pressure is accommodated in the compressible fluid. The new method is endowed with a discontinuity capturing feature that naturally emerges when fine-scale models are embedded with the surface tension term at the discrete interfaces. The method is integrated with the level-set equation to define the evolving interphase interfaces as they traverse through a fixed but otherwise arbitrary Eulerian mesh. The discontinuity capturing feature of the method accurately models steep gradients across the traversing phase boundaries without the need for expensive adaptive remeshings. Surface tension effects that are variationally incorporated in the formulation play an important role in the shape evolution of bubbles and provide flexibility in the modeling of bubble growth, shrinkage, and collapse due to hydrodynamic forces and convective effects. The method effectively models Kelvin–Helmholtz instability, which arises due to shearing velocity across the compressible–incompressible interface between the two fluids that have discontinuous material properties and different governing equations for each of the constituents.
KW - Kelvin–Helmholtz instability
KW - VMS stabilization
KW - bubble growth and collapse
KW - compressible–incompressible fluids
KW - discontinuity capturing method
KW - fine-scale enrichment
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U2 - 10.1615/IntJMultCompEng.2022041095
DO - 10.1615/IntJMultCompEng.2022041095
M3 - Article
AN - SCOPUS:85134886083
SN - 1543-1649
VL - 20
SP - 71
EP - 97
JO - International Journal for Multiscale Computational Engineering
JF - International Journal for Multiscale Computational Engineering
IS - 4
ER -