An integral equation method for a mixed initial boundary value problem for unsteady Stokes system in a doubly-connected domain

Chapko, R.S.; Johansson, B.T. and Kantor, I.S. An integral equation method for a mixed initial boundary value problem for unsteady Stokes system in a doubly-connected domain. Journal of Numerical and Applied Mathematics, 100 (1), pp. 29-39.

Abstract

We present a novel numerical method for a mixed initial boundary value problem for the unsteady Stokes system in a planar doubly-connected domain. Using a Laguerre transformation the unsteady problem is reduced to a system of boundary value problems for the Stokes resolvent equations. Employing a modied potential approach we obtain a system of boundary integral equations with various singularities and we use a trigonometric quadrature method for their numerical solution. Numerical examples are presented showing that accurate approximations can be obtained with low computational cost.

Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Non-linearity and complexity research group
Uncontrolled Keywords: unsteady Stokes system,mixed initial boundary value problem,Laguerre transformation,boundary integral equations,trigonometrical quadratures,Nyström method

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