Developing of Multiscale Approach to HPC-Simulation of Multiphase Fluid Flows

2021 ◽  
Vol 42 (11) ◽  
pp. 2626-2636
Author(s):  
V. O. Podryga ◽  
S. V. Polyakov ◽  
N. I. Tarasov
Author(s):  
Виктория Подрыга ◽  
Сергей Поляков ◽  
Марина Трапезникова ◽  
Наталья Чурбанова

2012 ◽  
Vol 9 (1) ◽  
pp. 175-180
Author(s):  
Yu.D. Chashechkin

According to the results of visualization of streams, the existence of structures in a wide range of scales is noted: from galactic to micron. The use of a fundamental system of equations is substantiated based on the results of comparing symmetries of various flow models with the usage of theoretical group methods. Complete solutions of the system are found by the methods of the singular perturbations theory with a condition of compatibility, which determines the characteristic equation. A comparison of complete solutions with experimental data shows that regular solutions characterize large-scale components of the flow, a rich family of singular solutions describes formation of the thin media structure. Examples of calculations and observations of stratified, rotating and multiphase media are given. The requirements for the technique of an adequate experiment are discussed.


2015 ◽  
Vol 137 (11) ◽  
Author(s):  
Michael P. Kinzel ◽  
Leonard Joel Peltier ◽  
Brigette Rosendall ◽  
Mallory Elbert ◽  
Andri Rizhakov ◽  
...  

A method to assess computational fluid dynamics (CFD) models for polydisperse granular solids in a multifluid flow is developed. The proposed method evaluates a consistency constraint, or a condition that an Eulerian multiphase solution for a monodisperse material in a single carrier fluid is invariant to an arbitrary decomposition into a pseudo-polydisperse mixture of multiple, identical fluid phases. The intent of this condition is to develop tests to assist model development and testing for multiphase fluid flows. When applied to two common momentum exchange models, the constraint highlights model failures for polydisperse solids interacting with a multifluid flow. It is found that when inconsistency occurs at the algebraic level, model failure clearly extends to application. When the models are reformulated to satisfy the consistency constraint, simple tests and application-scale simulations no longer display consistency failure.


2017 ◽  
Vol 86 (8) ◽  
pp. 541-563 ◽  
Author(s):  
Loïc Cappanera ◽  
Jean-Luc Guermond ◽  
Wietze Herreman ◽  
Caroline Nore
Keyword(s):  

2011 ◽  
Vol 3 (1) ◽  
pp. 35-45 ◽  
Author(s):  
N. V. Isupov ◽  
M. A. Trapeznikova ◽  
N. G. Churbanova ◽  
E. V. Shil’nikov

Author(s):  
Goodarz Ahmadi ◽  
Ali Reza Mazaheri ◽  
Duane H. Smith

Based on the basic balance laws and the second law of thermodynamics, a model for multiphase fluid flows through poro-elastic media is presented. The basic conservation laws. Including the balance of phasic equilibrated forces are are described. Based on the thermodynamics of the multiphase mixture, appropriate constitutive equations are formulated. It is shown that the present theory leads to the extension of Darcy’s law and contains, as its special case, Biot’s (1957) theory of saturated poro-elastic media. The special case of gas-liquid flows in porous media is discussed.


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