Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

About numerical simulation of incompressible viscous liquid with suspended moving particles

Litvinenko A.

University of Houston (Houston,
USA)

Evolution of system of several solid particles in viscous liquid is considered. Practical applications of this problem are fluidized bed, sedimention, blood flow around artificial heart valve. Investigation was focused on simulations with few solid particles to study in details iterative solvers for the case of particle collisions. The model used couples the 2D Navier-Stokes equation for the fluid dynamics with Newton Equations for the particle motions. The solution method combines the finite element discretization in space, the time discretization by a projection scheme and the method of characteristics for the convection term. Fictious Domain Method with distributed Lagrange multipliers [1] was used to set boundary conditions on the surfaces of particles and corresponding linear algebraic system can be solved iteratively with a preconditioner proposed in [2]. Also locally refined locally adapted grids are used for space discretizations and efficient iterative solvers based on fictions domain method.

[1] R.Glovinski and Yu. Kuznetsov. On the solution of the Dirichlet problem for linear elliptic operators by distributed Lagrange multiplier method. C. R. Acad. Sci. Paris 327 (1998), Serie 1, 693-698.

[2] G.I. Marchuk, Yu. A. Kuznetsov and A.M Matsokin. Fictionous domain and domain decomposition methods, Sov. J. Numer. Anal. Math. Model. 1 (1986), 3-35.

Note. Abstracts are published in author's edition

Comments

[Home]
[Conference]