A finite Element model for incompressible flow problems

[1]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[2]  M. E. Ryan,et al.  A study of parison development in extrusion blow molding , 1982 .

[3]  Michael S. Engelman,et al.  TRANSIENT FLOW PAST A CIRCULAR CYLINDER: A BENCHMARK SOLUTION , 1990 .

[4]  An Analysis of Upwind Schemes for the Navier–Stokes Equations , 1982 .

[5]  Henry T. Y. Yang,et al.  Experimental and finite element simulation methods for rate‐dependent metal forming processes , 1991 .

[6]  F. T. Barwell.  University College of Swansea , 1969 .

[7]  O. C. Zienkiewicz,et al.  Flow of solids during forming and extrusion: Some aspects of numerical solutions , 1978 .

[8]  J. L. Sohn,et al.  Evaluation of FIDAP on some classical laminar and turbulent benchmarks. [FluId Dynamics Analysis Package , 1988 .

[9]  Karl Gustafson,et al.  Vortex dynamics of cavity flows , 1986 .

[10]  M. Fortin,et al.  A stable finite element for the stokes equations , 1984 .

[11]  J. Z. Zhu,et al.  The finite element method , 1977 .

[12]  Sang-Wook Kim.  A finite element computational method for high Reynolds number laminar flows , 1987 .

[13]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[14]  Christine Bernardi,et al.  A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations , 1985 .

[15]  D. M. Tidd,et al.  The free surface flow of Newtonian and non-Newtonian fluids trapped by surface tension , 1988 .

[16]  Paulo M. Pimenta,et al.  Natural finite element techniques for viscous fluid motion , 1984 .

[17]  T. Tezduyar,et al.  Computation of spatially periodic flows based on the vorticity-stream function formulation , 1990 .

[18]  Michel Fortin,et al.  Finite element simulation of two- and three-dimensional free surface flows , 1991 .

[19]  Samuel Paolucci,et al.  The thermoconvective instability of plane poiseuille flow heated from below: A proposed benchmark solution for open boundary flows , 1990 .

[20]  Philippe A. Tanguy,et al.  An adaptive remeshing technique for non‐Newtonian fluid flow , 1990 .

[21]  Randolph E. Bank,et al.  A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem , 1990 .

[22]  D. Gartling.  A test problem for outflow boundary conditions—flow over a backward-facing step , 1990 .

[23]  Tayfun E. Tezduyar,et al.  TIME-ACCURATE INCOMPRESSIBLE FLOW COMPUTATIONS WITH QUADRILATERAL VELOCITY-PRESSURE ELEMENTS* , 1991 .

[24]  B. Armaly,et al.  Experimental and theoretical investigation of backward-facing step flow , 1983, Journal of Fluid Mechanics.

[25]  Erik G. Thompson,et al.  Transient analysis of forging operations by the pseudo‐concentration method , 1988 .

[26]  Raymond Viskanta,et al.  Transient natural convection of low‐Prandtl‐number fluids in a differentially heated cavity , 1991 .

[27]  D. B. Welbourn,et al.  The integration of geometric modelling with finite element analysis for the computer-aided design of castings , 1987 .

[28]  O. C. Zienkiewicz,et al.  Flow of plastic and visco‐plastic solids with special reference to extrusion and forming processes , 1974 .

[29]  J. Heinrich.  A finite element model for double diffusive convection , 1984 .

[30]  Mark Bush,et al.  Drag force on a sphere in creeping motion throug a carreau model fluid , 1984 .

[31]  S. Idelsohn,et al.  Metal forming analysis by fourier series expansion and further uses of pseudo-concentrations , 1992 .

[32]  M. Gellert,et al.  A simple least-squares method for FE analysis of the Navier-Stokes problem , 1991 .

[33]  J. Tinsley Oden,et al.  Finite Elements: Fluid Mechanics. , 1989 .

[34]  A. Fortin,et al.  On the imposition of friction boundary conditions for the numerical simulation of Bingham fluid flows , 1991 .

[35]  M. Gellert,et al.  Some criteria for numerically integrated matrices and quadrature formulas for triangles , 1978 .

[36]  D. M. Gao,et al.  A finite element simulation of metal flow in moulds , 1990 .

[37]  Yong-Shin Lee,et al.  Bulge Predictions in Steady State Bar Rolling Processes , 1990 .

[38]  O. C. Zienkiewicz,et al.  Coupled problems—A simple time‐stepping procedure , 1985 .

[39]  Miguel Cervera,et al.  A PENALTY FINITE ELEMENT METHOD FOR NON-NEWTONIAN CREEPING FLOWS , 1993 .

[40]  Comparison of two numerical methods for the solution of non-Newtonian flow in ducts , 1988 .

[41]  A. B. Strong,et al.  Numerical predictions of flows over backward‐facing steps , 1984 .

[42]  R. Verfürth.  Finite element approximation on incompressible Navier-Stokes equations with slip boundary condition , 1987 .

[43]  Erik G. Thompson,et al.  Use of pseudo‐concentrations to follow creeping viscous flows during transient analysis , 1986 .

[44]  F. Bertrand,et al.  A finite element analysis of die swell with fluid pseudoplastic and viscoplastic fluids , 1991 .

[45]  N. L. Kalthia,et al.  Spline collocation in the flow of non-Newtonian fluids , 1988 .

[46]  Lutz Tobiska,et al.  A modified streamline diffusion method for solving the stationary Navier-Stokes equation , 1991 .

[47]  Roland W. Lewis,et al.  Finite Element Modelling of Mould Filling , 1991 .

[48]  J. F. T. Pittman,et al.  Numerical analysis of forming processes , 1984 .

[49]  Graham F. Carey,et al.  Performance of iterative methods for Newtonian and generalized Newtonian flows , 1989 .

[50]  Thomas J. R. Hughes,et al.  Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations†‡ , 1987 .

[51]  Jie Shen,et al.  Hopf bifurcation of the unsteady regularized driven cavity flow , 1991 .

[52]  Sergio Idelsohn,et al.  USING PSEUDO‐CONCENTRATIONS IN THE ANALYSIS OF TRANSIENT FORMING PROCESSES , 1992 .

[53]  R. Kessler,et al.  Nonlinear transition in three-dimensional convection , 1987, Journal of Fluid Mechanics.

[54]  R. W. Bilger,et al.  Finite element methods for the solution of some incompressible non-newtonian fluid mechanics problems with free surfaces , 1975 .

[55]  P. Carreau,et al.  Excess pressure losses in a slit , 1981 .

[56]  K. S. Gage,et al.  The stability of thermally stratified plane Poiseuille flow , 1968, Journal of Fluid Mechanics.

[57]  P. Le Tallec,et al.  On the convergence of the bilinear-velocity constant-pressure finite element method in viscous flow , 1986 .

[58]  William Layton,et al.  An analysis of the finite element method for natural convection problems , 1990 .