A finite difference treatment of Stokes-type flows
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A finite difference treatment of Stokes-type flows (preliminary report) by M. E. Rose

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Published by NASA Langley Research Center, For sale by the National Technical Information Service in [Hampton, Va, Springfield, Va .
Written in English


  • Boundary conditions.,
  • Finite difference theory.,
  • Stokes flow.,
  • Two dimensional flow.,
  • Vorticity.

Book details:

Edition Notes

StatementM. E. Rose.
SeriesNASA CR -- 186480., NASA contractor report -- NASA CR-186480.
ContributionsLangley Research Center.
The Physical Object
Pagination1 v.
ID Numbers
Open LibraryOL16128981M

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A standard finite difference method to solve () is to introduce a uniform grid and then use standard five point finite difference operators to express each equation in (). Book. Jan ; S. P. Timoshenko A finite difference treatment of Stokes-type flows: Preliminary report for examining the general treatment of boundary conditions for more general time. Numerical Treatment of Multiphase Flows in Porous Media, () Two grid discretizations with backtracking of the stream function form of the Navier-Stokes equations. Applied Mathematics and Computation , Cited by: Mixed finite element methods for viscoelastic flow analysis: a review 1. Author links open overlay This is a natural extension of the common velocity–pressure formulation for Stokes type problems and implicitly accounts for the partial differential form of the constitutive equation. while combination with finite difference Cited by:

  () Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows. SIAM Journal on Numerical Analysis , Abstract | PDF ( KB)Cited by: Navier-Stokes type problems is different from that in Chapters 2 and 3 e.g. nonlinear wave motion, cavitating flows, solidification and melting, metal casting, to name but a few. The present volume emerging as a viable alternative to finite difference and finite. pointwise constraint. The reliable and efficient numerical treatment is therefore challenging. We prove the convergence of a finite element discretization within the framework of $\Gamma$-convergence and discuss the convergence of an iterative solution method. The work is based on results by Friesecke, James, and M\"uller ().   A finite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip boundary condition of friction type, is considered. Steady Stokes flows with threshold slip boundary conditions. Math. Models Methods Appl. Sci. 15, Uzawa iteration method for Stokes type variational inequality of Cited by:

  We present a new finite volume version ([1], [2], [3]) of the 1-dimensional Lax-Friedrichs and Nessyahu-Tadmor schemes ([5]) for nonlinear hyperbolic equations on unstructured grids, and compare it to a recent discontinuous finite element method ([6], [23]) in the computation of some typical test problems for compressible flows. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods.   AbstractIn this paper, a semi-discrete Galerkin finite element method is applied to the two-dimensional diffusive Peterlin viscoelastic model which can describe the unsteady behavior of some incompressible ploymeric fluids. For the derived semi-discrete finite element spatial discretization scheme, the a priori bounds are given that does not rely on the mesh width by: 2. Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media Imam Wijaya and Hirofumi Notsu doi: /dcdss + [Abstract] () + [HTML] () + [PDF] (KB).