A distributed Lagrange multiplier/fictitious domain method for particulate flows

[1]  M. A. Hyman,et al.  Non-iterative numerical solution of boundary-value problems , 1952 .

[2]  Alexandre J. Chorin,et al.  On the Convergence of Discrete Approximations to the Navier-Stokes Equations , 1969 .

[3]  B. L. Buzbee,et al.  The direct solution of the discrete Poisson equation on irregular regions , 1970 .

[4]  I. Babuska.  The finite element method with Lagrangian multipliers , 1973 .

[5]  A. Chorin.  Numerical study of slightly viscous flow , 1973, Journal of Fluid Mechanics.

[6]  F. Brezzi.  On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .

[7]  C. Peskin.  Numerical analysis of blood flow in the heart , 1977 .

[8]  Charles S. Peskin,et al.  Modeling prosthetic heart valves for numerical analysis of blood flow in the heart , 1980 .

[9]  Randall J. LeVeque,et al.  Numerical methods based on additive splittings for hyperbolic partial differential equations , 1981 .

[10]  G. E. Miller.  Lectures in applied mathematics (vol. 19): Lectures on mathematical aspects of physiology , 1984, Proceedings of the IEEE.

[11]  R. Maccormack.  Numerical Methods for the Navier-Stokes Equations , 1985 .

[12]  R. Glowinski,et al.  Numerical Methods for Nonlinear Variational Problems , 1985 .

[13]  G. Papanicolaou.  Advances in multiphase flow and related problems , 1986 .

[14]  Daniel D. Joseph,et al.  Nonlinear Mechanics of Fluidization of Spheres, Cylinders, and Disks in Water , 1987 .

[15]  D. Joseph,et al.  Nonlinear mechanics of fluidization of beds of spherical particles , 1987, Journal of Fluid Mechanics.

[16]  R. Glowinski,et al.  Numerical methods for the navier-stokes equations. Applications to the simulation of compressible and incompressible viscous flows , 1987 .

[17]  G. Marchuk.  Splitting and alternating direction methods , 1990 .

[18]  O. Pironneau.  Finite Element Methods for Fluids , 1990 .

[19]  Howard H. Hu,et al.  Direct simulation of fluid particle motions , 1992 .

[20]  R. Glowinski,et al.  FINITE ELEMENT METHODS FOR NAVIER-STOKES EQUATIONS , 1992 .

[21]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .

[22]  Gretar Tryggvason,et al.  Computations of multi-fluid flows , 1992 .

[23]  R. LeVeque,et al.  A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .

[24]  R. Glowinski,et al.  A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations , 1994 .

[25]  R. Glowinski,et al.  A fictitious domain method for Dirichlet problem and applications , 1994 .

[26]  Rolf Rannacher,et al.  Numerical methods for the Navier-Stokes equations , 1994 .

[27]  Roland Glowinski,et al.  A three-dimensional computation of the force and torque on an ellipsoid settling slowly through a viscoelastic fluid , 1995 .

[28]  Jacques Periaux,et al.  A Lagrange multiplier/fictitious domain method for the Dirichlet problem — Generalization to some flow problems , 1995 .

[29]  Howard H. Hu.  Direct simulation of flows of solid-liquid mixtures , 1996 .

[30]  T. E. TezduyarAerospace,et al.  3d Simulation of Fluid-particle Interactions with the Number of Particles Reaching 100 , 1996 .

[31]  S. Turek.  a Comparative Study of Time-Stepping Techniques for the Incompressible Navier-Stokes Equations: from Fully Implicit Non-Linear Schemes to Semi-Implicit Projection Methods , 1996 .

[32]  Dennis Joseph.  Flow induced microstructure in Newtonian and viscoelastic fluids , 1996 .

[33]  James J. Feng,et al.  Dynamic simulation of sedimentation of solid particles in an Oldroyd-B fluid , 1996 .

[34]  Tayfun E. Tezduyar,et al.  3D Simulation of fluid-particle interactions with the number of particles reaching 100 , 1997 .

[35]  B. Maury.  A many-body lubrication model , 1997 .

[36]  Tayfun E. Tezduyar,et al.  Fluid-particle simulations reaching 100 particles , 1997 .

[37]  A. Chorin.  A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[38]  Randall J. LeVeque,et al.  Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension , 1997, SIAM J. Sci. Comput..

[39]  Roland Glowinski,et al.  A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow , 1997 .

[40]  Numerical simulation of particulate two-phase flow , 1997 .

[41]  Daniel D. Joseph,et al.  Direct simulation of the motion of solid particles in Couette and Poiseuille flows of viscoelastic fluids , 1997, Journal of Fluid Mechanics.

[42]  Jacques Periaux,et al.  A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori , 1997 .

[43]  Philippe A. Tanguy,et al.  A three-dimensional fictitious domain method for incompressible fluid flow problems , 1997 .

[44]  Jacques Periaux,et al.  Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies , 1998 .

[45]  Gretar Tryggvason,et al.  Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays , 1998, Journal of Fluid Mechanics.