On operator semigroups arising in the study of incompressible viscous fluid flows

2020 ◽  
Vol 378 (2185) ◽  
pp. 20190618
Author(s):  
Matthias Hieber
Keyword(s):  
Viscous Fluid ◽  
Nonlinear Equations ◽  
Incompressible Flows ◽  
Fluid Flows ◽  
Incompressible Viscous Fluid ◽  
Theme Issue ◽  
Operator Semigroups ◽  
Intrinsic Interest

This article concentrates on various operator semigroups arising in the study of viscous and incompressible flows. Of particular concern are the classical Stokes semigroup, the hydrostatic Stokes semigroup, the Oldroyd as well as the Ericksen–Leslie semigroup. Besides their intrinsic interest, the properties of these semigroups play an important role in the investigation of the associated nonlinear equations. This article is part of the theme issue ‘Semigroup applications everywhere’.

A SVD-GFD scheme for computing 3D incompressible viscous fluid flows

2008 ◽  
Vol 37 (6) ◽  
pp. 733-746 ◽  
Author(s):  
X.Y. Wang ◽  
K.S. Yeo ◽  
C.S. Chew ◽  
B.C. Khoo
Keyword(s):  
Viscous Fluid ◽  
Fluid Flows ◽  
Incompressible Viscous Fluid

scholarly journals Experimental validation of computational fluid dynamics for solving isothermal and incompressible viscous fluid flow

2020 ◽  
Vol 2 (9) ◽  
Author(s):  
Bilen Emek Abali ◽  
Ömer Savaş
Keyword(s):  
Experimental Data ◽  
Viscous Fluid ◽  
Experimental Validation ◽  
Incompressible Flows ◽  
Fluid Flows ◽  
Analytic Solutions ◽  
Computational Approach ◽  
Computational Method ◽  
Assessment Criterion ◽  
Viscous Fluid Flow

Abstract In order to validate a computational method for solving viscous fluid flows, experiments are carried out in an eccentric cylindrical cavity showing various flow formations over a range of Reynolds numbers. Especially, in numerical solution approaches for isothermal and incompressible flows, we search for simple experimental data for evaluating accuracy as well as performance of the computational method. Verification of different computational methods is arduous, and analytic solutions are only obtained for simple geometries like a channel flow. Clearly, a method is expected to predict different flow patterns within a cavity. Thus, we propose a configuration generating different flow formations depending on the Reynolds number and make the experimental results freely available in order to be used as an assessment criterion to demonstrate the reliability of a new computational approach.

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