Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media

2020 ◽  
Vol 52 (6) ◽  
pp. 6155-6179
Author(s):  
Christian Rohde ◽  
Lars von Wolff
Keyword(s):  
Porous Media ◽  
Compressible Liquid ◽  
Flow In Porous Media ◽  
Navier Stokes ◽  
Vapor Flow ◽  
Liquid Vapor

Fractional vector calculus and fluid mechanics

2017 ◽  
Vol 26 (1-2) ◽  
pp. 43-54 ◽  
Author(s):  
Konstantinos A. Lazopoulos ◽  
Anastasios K. Lazopoulos
Keyword(s):  
Differential Geometry ◽  
Porous Media ◽  
Fluid Mechanics ◽  
Research Field ◽  
Flow In Porous Media ◽  
Navier Stokes ◽  
Basic Fluid ◽  
Vector Calculus ◽  
Fractional Differential ◽  
Fractional Continuum

AbstractBasic fluid mechanics equations are studied and revised under the prism of fractional continuum mechanics (FCM), a very promising research field that satisfies both experimental and theoretical demands. The geometry of the fractional differential has been clarified corrected and the geometry of the fractional tangent spaces of a manifold has been studied in Lazopoulos and Lazopoulos (Lazopoulos KA, Lazopoulos AK. Progr. Fract. Differ. Appl. 2016, 2, 85–104), providing the bases of the missing fractional differential geometry. Therefore, a lot can be contributed to fractional hydrodynamics: the basic fractional fluid equations (Navier Stokes, Euler and Bernoulli) are derived and fractional Darcy’s flow in porous media is studied.

Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension

2018 ◽  
Vol 169 ◽  
pp. 169-185 ◽  
Author(s):  
Stefan Fechter ◽  
Claus-Dieter Munz ◽  
Christian Rohde ◽  
Christoph Zeiler
Keyword(s):  
Phase Transition ◽  
Surface Tension ◽  
Compressible Liquid ◽  
Vapor Flow ◽  
Riemann Solver ◽  
Approximate Riemann Solver ◽  
Liquid Vapor

Numerical Investigation of the “Poor Man’s Navier–Stokes Equations” with Darcy and Forchheimer Terms

2016 ◽  
Vol 26 (05) ◽  
pp. 1650086
Author(s):  
Tingting Tang ◽  
Zhiyong Li ◽  
J. M. McDonough ◽  
P. D. Hislop
Keyword(s):  
Porous Media ◽  
Numerical Investigation ◽  
Stokes Equations ◽  
Discrete Dynamical System ◽  
Flow In Porous Media ◽  
Phase Portraits ◽  
Navier Stokes ◽  
Flow Through Porous Media ◽  
Navier Stokes Equations ◽  
Flow Through

In this paper, a discrete dynamical system (DDS) is derived from the generalized Navier–Stokes equations for incompressible flow in porous media via a Galerkin procedure. The main difference from the previously studied poor man’s Navier–Stokes equations is the addition of forcing terms accounting for linear and nonlinear drag forces of the medium — Darcy and Forchheimer terms. A detailed numerical investigation focusing on the bifurcation parameters due to these additional terms is provided in the form of regime maps, time series, power spectra, phase portraits and basins of attraction, which indicate system behaviors in agreement with expected physical fluid flow through porous media. As concluded from the previous studies, this DDS can be employed in subgrid-scale models of synthetic-velocity form for large-eddy simulation of turbulent flow through porous media.

scholarly journals A multiscale method for compressible liquid-vapor flow with surface tension

2012 ◽  
Vol 38 ◽  
pp. 387-408 ◽  
Author(s):  
Felix Jaegle ◽  
Christian Rohde ◽  
Christoph Zeiler
Keyword(s):  
Surface Tension ◽  
Compressible Liquid ◽  
Multiscale Method ◽  
Vapor Flow ◽  
Liquid Vapor
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