This paper is interested in the numerical simulation of steady flows of laminar incompressible viscous and viscoelastic fluids through the channel with T-junction. The flow is described by the system of generalized in...
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ISBN:
(纸本)9783319399294;9783319399270
This paper is interested in the numerical simulation of steady flows of laminar incompressible viscous and viscoelastic fluids through the channel with T-junction. The flow is described by the system of generalized incompressible Navier-Stokes equations. For the different choice of fluidsmodel the different model of the stress tensor is used, Newtonian and Oldroyd-B models. Numerical tests are performed on three dimensional geometry, a branched channel with one entrance and two outlet parts. Numerical solution of the described models is based on cellcentered finite volume method using explicit Runge-Kutta time integration.
This work deals with numerical simulation of incompressible flow over a profile vibrating with two degrees of freedom. The profile can oscillate around prescribed elastic axis and vibrate in vertical direction and its...
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ISBN:
(纸本)9783319399294;9783319399270
This work deals with numerical simulation of incompressible flow over a profile vibrating with two degrees of freedom. The profile can oscillate around prescribed elastic axis and vibrate in vertical direction and its motion is induced by the flow. The finite volume method was chosen for the solution, namely the so calledModified Causon's Scheme, which is derived from TVD form of the classical predictor-correctorMacCormack scheme and enhanced with the use of the Arbitrary Lagrangian-Eulerian method in order to simulate unsteady flows. Various initial settings are considered (different inlet velocities, initial deviation angles and shifts in vertical direction). Stiffness is modelled both as linear and non-linear. Obtained results are compared with NASTRAN analysis (Cecrdle and Malecek, Verification FEM model of an aircraft construction with two and three degrees of freedom. Technical report R-3418/02, Aeronautical Research and Test Establishment, Prague, Letnany, 2002. In Czech). The resulting critical velocities for unstable oscillations are in the same interval for all simulated cases.
The aim of this contribution is to present a new Newton-type solver for yield stress fluids, for instance for viscoplastic Bingham fluids. In contrast to standard globally defined ('outer') damping strategies,...
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ISBN:
(纸本)9783319399294;9783319399270
The aim of this contribution is to present a new Newton-type solver for yield stress fluids, for instance for viscoplastic Bingham fluids. In contrast to standard globally defined ('outer') damping strategies, we apply weighting strategies for the different parts inside of the resulting Jacobian matrices (after discretizing with FEM), taking into account the special properties of the partial operators which arise due to the differentiation of the corresponding nonlinear viscosity function. Moreover, we shortly discuss the corresponding extension to fluids with a pressure-dependent yield stress which are quite common for modelling granular material. From a numerical point of view, the presented method can be seen as a generalized Newton approach for non-smooth problems.
We present a flux approximation scheme for the incompressible Navier-Stokes equations, that is based on a flux approximation scheme for the scalar advection-diffusion-reaction equation that we developed earlier. The f...
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ISBN:
(纸本)9783319399294;9783319399270
We present a flux approximation scheme for the incompressible Navier-Stokes equations, that is based on a flux approximation scheme for the scalar advection-diffusion-reaction equation that we developed earlier. The flux is computed from local boundary value problems (BVPs) and is expressed as a sum of a homogeneous and an inhomogeneous part. The homogeneous part depends on the balance of the convective and viscous forces and the inhomogeneous part depends on source terms included in the local BVP.
作者：
Boubendir, Y.Bendali, A.Zerbib, N.NJIT
Dept Math Sci Univ Hts 323 Dr ML King Jr Blvd Newark NJ 07102 USA NJIT
Ctr Appl Math & Stat Univ Hts 323 Dr ML King Jr Blvd Newark NJ 07102 USA Univ Toulouse
INSA Toulouse Inst Math Toulouse CNRSUMR 5219 135 Ave Rangueil F-31077 Toulouse 1 France ESI Grp
20 Rue Fonds Pernant F-60471 Compiegne France
In this paper, we introduce the results for the Schwarz waveform relaxation (SWR) algorithm applied to a class of non-dissipative reaction diffusion equations. Both the Dirichlet and Robin transmission conditions (TCs...
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Convection is an important transport mechanism in physics. Especially, in fluid dynamics at high Reynolds numbers this term dominates. Modern mimetic discretization methods consider physical variables as differential ...
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ISBN:
(纸本)9783319399294;9783319399270
Convection is an important transport mechanism in physics. Especially, in fluid dynamics at high Reynolds numbers this term dominates. Modern mimetic discretization methods consider physical variables as differential k-forms and their discrete analogues as k-cochains. Convection, in this parlance, is represented by the Lie derivative, L-X. In this paper we design reduction operators, R from differential forms to cochains and define a discrete Lie derivative, L-X which acts on cochains such that the commutation relation RLX = LXR holds.
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