Mass conservative lattice Boltzmann scheme for a three-dimensional diffuse interface model with Peng-Robinson equation of state

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
Zhonghua Qiao ◽  
Xuguang Yang ◽  
Yuze Zhang
Keyword(s):  
Equation Of State ◽  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Diffuse Interface ◽  
Interface Model ◽  
Diffuse Interface Model ◽  
Lattice Boltzmann Scheme ◽  
Robinson Equation

A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

2017 ◽  
Vol 9 (5) ◽  
pp. 1162-1188 ◽  
Author(s):  
Qiujin Peng
Keyword(s):  
Equation Of State ◽  
Diffuse Interface ◽  
Pure Substance ◽  
Interface Model ◽  
Splitting Scheme ◽  
Diffuse Interface Model ◽  
Convex Splitting ◽  
Fourth Order Parabolic Equation ◽  
Robinson Equation ◽  
Good Agreement

AbstractWe present a convex-splitting scheme for the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson equation of state for pure substance. The semi-implicit scheme is proven to be uniquely solvable, mass conservative, unconditionally energy stable andL∞convergent with the order of. The numerical results verify the effectiveness of the proposed algorithm and also show good agreement of the numerical solution with laboratory experimental results.

Study for the Interfacial Effect between a Crawling Cell and a Substrate on Chemotaxis

2011 ◽  
Vol 1301 ◽  
Author(s):  
Jihwan Song ◽  
Dongchoul Kim
Keyword(s):  
Three Dimensional ◽  
Diffuse Interface ◽  
Biological Processes ◽  
Interfacial Effect ◽  
Interface Model ◽  
Chemotactic Migration ◽  
Interfacial Condition ◽  
Diffuse Interface Model ◽  
Model Simulations ◽  
High Possibility

ABSTRACTChemotaxis is one of the essential mechanisms responsible for various complex biological processes. For a crawling cell, the interface between the cell and the substrate plays an important role in the chemotactic migration. This paper presents a three-dimensional dynamic model to investigate the effect of the interface between a crawling cell and a substrate on its chemotaxis. The coupled mechanisms of chemotaxis, the surface energy of the cell, and the interface between the cell and the substrate are incorporated into a diffuse interface model. Simulations reveal rich dynamics of a crawling cell associated with the interfacial condition, and confirm the high possibility of adequate predictions.

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