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Boundary Conditions and Estimates for the Steady Stokes Equations on Staggered Grids

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Abstract

We consider the steady state Stokes equations, describing low speed flow and derive estimates of the solution for various types of boundary conditions. We formulate the boundary conditions in a new way, such that the boundary value problem becomes non-singular. By using a difference approximation on a staggered grid we are able to derive a non-singular approximation in a direct way. Furthermore, we derive the same type of estimates as for the continuous case. Numerical experiments confirm the theoretical results.

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Authors and Affiliations

  1. Department of Scientific Computing, Uppsala University, P.O. Box 120, SE-751 04, Uppsala, Sweden

    Bertil Gustafsson & Jonas Nilsson

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  1. Bertil Gustafsson
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  2. Jonas Nilsson
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Gustafsson, B., Nilsson, J. Boundary Conditions and Estimates for the Steady Stokes Equations on Staggered Grids. Journal of Scientific Computing 15, 29–59 (2000). https://doi.org/10.1023/A:1007545718304

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  • DOI: https://doi.org/10.1023/A:1007545718304

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