Lattice Boltzmann method for the simulation of viscoelastic fluid flows
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This paper presents the application of spectral element methods to simulate the time-dependent flow of viscoelastic fluids in non-trivial geometries using a closed-form differential constitutive equation. As an example, results relative to the flow of a FE ...
Two:dimensional time-dependent calculations for a molecular model of finite extensibility in the journal-bearing geometry are presented. The flow is considered to be incompressible and isothermal. The momentum conservation equation is integrated using a ti ...
In this thesis we will show that unsteady, incompressible fluid-flow problems, as described by the three-dimensional Navier-Stokes equations, can efficiently be simulated by a parallel computer code based on a spectral element discretization. This efficien ...
This paper presents the development of spectral element methods to simulate unsteady flows of viscoelastic fluids using a differential constitutive equation. Preliminary results for simple test problems are discussed as well as possible techniques to impro ...
In this paper, order one finite elements together with Galerkin least-squares (GLS) methods are used for solving a three-held Stokes problem arising from the numerical study of viscoelastic hows. Stability and convergence results are established, even when ...
This paper presents asymptotically stable schemes for patching of nonoverlapping subdomains when approximating the compressible Navier-Stokes equations given on conservation form. The scheme is a natural extension of a previously proposed scheme for enforc ...
The main purpose of this present research is to contribute to the understanding of time-dependent behavior of homogeneous, isotropic hard rocks. Chapter I deals with the study of different parameters which influence rock behavior : existing microstructures ...
We consider the incompressible, isothermal and inertialess flow of an Oldroyd-B viscoelastic fluid in the absence of body forces. We report numerical results on the simulation of unsteady flow of an Oldroyd-B fluid by spectral element methods. Several tech ...
A methodology is presented for the formulation of an algebraic extra-stress model derivable from the Oldroyd-B constitutive equation for a viscoelastic fluid. An implicit algebraic tensor relation is derived directly from the differential constitutive rela ...
A localized stationary dipole solution to the Euler equations with a relationship between the vorticity and streamfunction given as omega=-psi+psi(3) is presented. By numerical integration of the Euler equations this dipole is shown to be unstable. However ...