On Choosing Multicomponent Multiphase System Separation Progress Optimization Criteria

Coarsening in Multicomponent Multiphase Systems

Parallel Simulation of Multiphase/Multicomponent Flow Models

The simulation of flow in porous media is a computationally demanding task. Thermodynamical equilibrium calculations and complex, heterogeneous geological structures normally gives a multiphysics/multidomain problem to solve. Thus, efficient solution methods are needed. The research simulator Athena is a 3D, multiphase, multicomponent, porous media flow simulator. A parallel version of the simu...

Multicomponent-Multiphase Equation of State for Carbon

The PANDA code is used to build a tabular equation of state (EOS) table for carbon. The model includes three solid phases (graphite, diamond, and metallic) and a fluid phase mixture containing three molecular components (C1, C2, and C3). Separate EOS tables were first constructed for each solid phase and for each molecular species in the fluid phase. Next, a mixture/chemical equilibrium model w...

On a multiphase multicomponent model of biofilm growth.

Biofilms are formed when free-floating bacteria attach to a surface and secrete polysaccharide to form an extracellular polymeric matrix (EPS). A general model of biofilm growth needs to include the bacteria, the EPS, and the solvent within the biofilm region Ω(t), and the solvent in the surrounding region D(t). The interface between the two regions, Γ(t), is a free boundary. In this paper, we ...

Multiphase Shape Optimization Problems

This paper is devoted to the analysis of multiphase shape optimization problems, which can formally be written as min { g ( (F1(Ω1), . . . , Fh(Ωh) ) +m ∣∣ h ⋃ i=1 Ωi ∣∣ : Ωi ⊂ D, Ωi ∩ Ωj = ∅}, where D ⊆ R is a given bounded open set, |Ωi| is the Lebesgue measure of Ωi and m is a positive constant. For a large class of such functionals, we analyse qualitative properties of the cells and the int...