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

Novosibirsk participants

Collocation and least-squares method for the computations of the steady viscous liquid flows

Semin L.G.

Institute of Theoretical and Applied Mechanics SB RAS (Novosibirsk)

Numerical method for solving boundary-value problems for steady Stokes and Navier-Stokes equations is presented. The equations are written down in dimensionless form. Approximate solution is thought as piecewise polynomial function on the grid with rectangular cells. Colocation method together with least-squares technique are used to find a unknown koefficients of approximate solution expansion by basis in each cell. Algorithm of grid adaptation to the singularities of the solution of differential problem is implemented. This algorithm is based on a-posteriori error estimation. Model flow computations are performed. Also formulae of the method for the heat model of Navier-Stokes equations are derived and tested.

Full Text in Russian: PDF (667 kb)
Note. Abstracts are published in author's edition

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