scholarly journals Comparison between algebraic and matrix‐free geometric multigrid for a Stokes problem on adaptive meshes with variable viscosity

2021 ◽  
Author(s):  
Thomas C. Clevenger ◽  
Timo Heister
Keyword(s):  
Variable Viscosity ◽  
Stokes Problem ◽  
Adaptive Meshes ◽  
Matrix Free ◽  
Geometric Multigrid

Box-relaxation based multigrid solvers for the variable viscosity Stokes problem

2017 ◽  
Vol 156 ◽  
pp. 515-525 ◽  
Author(s):  
Domenico Borzacchiello ◽  
Emmanuel Leriche ◽  
Benoît Blottière ◽  
Jacques Guillet
Keyword(s):  
Variable Viscosity ◽  
Stokes Problem ◽  
Multigrid Solvers

scholarly journals A matrix‐free approach for finite‐strain hyperelastic problems using geometric multigrid

2020 ◽  
Vol 121 (13) ◽  
pp. 2874-2895 ◽  
Author(s):  
Denis Davydov ◽  
Jean‐Paul Pelteret ◽  
Daniel Arndt ◽  
Martin Kronbichler ◽  
Paul Steinmann
Keyword(s):  
Finite Strain ◽  
Matrix Free ◽  
Geometric Multigrid

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

2019 ◽  
Vol 6 (2) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
Saraswati
Keyword(s):  
Boundary Conditions ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

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