scholarly journals An inexact Newton method for fully-coupled solution of the Navier-Stokes equations with heat and mass transport

1997 ◽  
Author(s):  
J.N. Shadid ◽  
R.S. Tuminaro ◽  
H.F. Walker
Keyword(s):  
Mass Transport ◽  
Newton Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Inexact Newton Method ◽  
Navier Stokes Equations ◽  
Heat And Mass Transport ◽  
Coupled Solution ◽  
Fully Coupled

A new fully coupled solution of the Navier-Stokes equations

1994 ◽  
Vol 19 (7) ◽  
pp. 605-639 ◽  
Author(s):  
G. B. Deng ◽  
J. Piquet ◽  
P. Queutey ◽  
M. Visonneau
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Coupled Solution ◽  
Fully Coupled

Globalization Techniques for Newton–Krylov Methods and Applications to the Fully Coupled Solution of the Navier–Stokes Equations

SIAM Review ◽  
2006 ◽  
Vol 48 (4) ◽  
pp. 700-721 ◽  
Author(s):  
Roger P. Pawlowski ◽  
John N. Shadid ◽  
Joseph P. Simonis ◽  
Homer F. Walker
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Krylov Methods ◽  
Navier Stokes Equations ◽  
Coupled Solution ◽  
Fully Coupled

Iterative method for solving fully-coupled fluid solid systems

2010 ◽  
pp. 653-670
Author(s):  
Elisabeth Longatte
Keyword(s):  
Stokes Equations ◽  
Cross Flow ◽  
Elastic Cylinder ◽  
Navier Stokes ◽  
Arbitrary Lagrangian Eulerian ◽  
Navier Stokes Equations ◽  
Ale Formulation ◽  
Volume Method ◽  
Fully Coupled ◽  
Solid System

This work is concerned with the modelling of the interaction of a fluid with a rigid or a flexible elastic cylinder in the presence of axial or cross-flow. A partitioned procedure is involved to perform the computation of the fully-coupled fluid solid system. The fluid flow is governed by the incompressible Navier-Stokes equations and modeled by using a fractional step scheme combined with a co-located finite volume method for space discretisation. The motion of the fluid domain is accounted for by a moving mesh strategy through an Arbitrary Lagrangian-Eulerian (ALE) formulation. Solid dyncamics is modeled by a finite element method in the linear elasticity framework and a fixed point method is used for the fluid solid system computation. In the present work two examples are presented to show the method robustness and efficiency.

Reliability of Convective Diffusion Process in Stenosis Blood Vessels

2008 ◽  
Vol 3 (1) ◽  
Author(s):  
R.K. Saket ◽  
Anil Kumar
Keyword(s):  
Mass Transport ◽  
Diffusion Process ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Wall Stress ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Flow Equations ◽  
Recirculation Flow ◽  
Convection Diffusion Equation

This paper presents a convective dominated reliable diffusion process in an axi-symmetric tube with a local constriction simulating a stenos artery considering the porosity effects. The investigations demonstrate the effects of wall shear stress and recirculation flow on the concentration distribution in the vessels lumen and on wall mass transfer keeping the porosity in view. The flow is governed by the incompressible Navier-Stokes equations for Newtonian fluid in porous medium. The convection diffusion equation has been used for the mass transport. The effect of porosity is examined on the velocity field and wall stress. The numerical solutions of the flow equations and the coupled mass transport equations have been obtained using a finite difference method. This paper explains the reliable effects of flow porosity on the mass transport.

Oscillatory flow and mass transport in a flexible tube

1991 ◽  
Vol 231 ◽  
pp. 135-155 ◽  
Author(s):  
Carolyn A. Dragon ◽  
James B. Grotberg
Keyword(s):  
Mass Transport ◽  
Oscillatory Flow ◽  
Stokes Equations ◽  
Average Rate ◽  
Travelling Wave ◽  
Navier Stokes ◽  
High Frequency Ventilation ◽  
Regular Perturbation ◽  
Navier Stokes Equations ◽  
Frequency Ventilation

The mass transport of a diffusible substance during volume-cycled oscillatory flow in a thin-walled viscoelastic tube is studied. A small-amplitude, long-wavelength travelling wave is generated by the oscillatory pressure gradient. Lubrication theory is employed for slow axial variations to derive regular perturbation solutions to the Navier–Stokes equations. The convection–diffusion equation is solved in a similar manner, assuming uniform steady end concentrations and no wall flux. From the velocity and concentration fields, the time-average rate of axial mass transport is calculated, and its dependence on oscillation frequency, tube stiffness, and stroke amplitude is investigated. The general result is that transport is enhanced less for softer tubes than for stiffer ones and that mass flow rate as a function of frequency reaches a local maximal value. The results are related to gas transport in pulmonary airways during high-frequency ventilation.

Prediction of Hydroplaning Potential Using Fully Coupled Finite Element-Computational Fluid Dynamics Tire Models

2020 ◽  
Vol 142 (10) ◽  
Author(s):  
Ashkan Nazari ◽  
Lu Chen ◽  
Francine Battaglia ◽  
John B. Ferris ◽  
Gerardo Flintsch ◽  
...  
Keyword(s):  
Finite Element ◽  
Stokes Equations ◽  
Mesh Size ◽  
Navier Stokes ◽  
Two Phase ◽  
Navier Stokes Equations ◽  
Element Size ◽  
Road Surfaces ◽  
Tire Models ◽  
Fully Coupled

Abstract Hydroplaning is a phenomenon that occurs when a layer of water between the tire and pavement pushes the tire upward. The tire detaches from the pavement, preventing it from providing sufficient forces and moments for the vehicle to respond to driver control inputs such as breaking, accelerating, and steering. This work is mainly focused on the tire and its interaction with the pavement to address hydroplaning. Using a tire model that is validated based on results found in the literature, fluid–structure interaction (FSI) between the tire-water-road surfaces is investigated through two approaches. In the first approach, the coupled Eulerian–Lagrangian (CEL) formulation was used. The drawback associated with the CEL method is the laminar assumption and that the behavior of the fluid at length scales smaller than the smallest element size is not captured. To improve the simulation results, in the second approach, an FSI model incorporating finite element methods (FEMs) and the Navier–Stokes equations for a two-phase flow of water and air, and the shear stress transport k–ω turbulence model, was developed and validated, improving the prediction of real hydroplaning scenarios. With large computational and processing requirements, a grid dependence study was conducted for the tire simulations to minimize the mesh size yet retain numerical accuracy. The improved FSI model was applied to hydroplaning speed and cornering force scenarios.

A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition

2012 ◽  
Vol 11 (4) ◽  
pp. 1279-1299
Author(s):  
Yuqi Wu ◽  
Xiao-Chuan Cai
Keyword(s):  
Boundary Condition ◽  
Blood Flow ◽  
Domain Decomposition ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Outflow Boundary Condition ◽  
Outflow Boundary ◽  
Domain Decomposition Algorithm ◽  
Fully Coupled

AbstractWe introduce and study a parallel domain decomposition algorithm for the simulation of blood flow in compliant arteries using a fully-coupled system of nonlinear partial differential equations consisting of a linear elasticity equation and the incompressible Navier-Stokes equations with a resistive outflow boundary condition. The system is discretized with a finite element method on unstructured moving meshes and solved by a Newton-Krylov algorithm preconditioned with an overlapping restricted additive Schwarz method. The resistive outflow boundary condition plays an interesting role in the accuracy of the blood flow simulation and we provide a numerical comparison of its accuracy with the standard pressure type boundary condition. We also discuss the parallel performance of the implicit domain decomposition method for solving the fully coupled nonlinear system on a supercomputer with a few hundred processors.

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