Numerical Simulation of Bingham Fluid Flow Using Prox-Regularization

H. Schmitt
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H. Schmitt: University of Magdeburg

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 3, No 9, 603-626

Abstract: Abstract A special case of fluid flow, the laminar flow of a Bingham fluid through a cylindrical pipe, can be described as a convex minimization problem where the objective function J0 is nondifferentiable. J0 can be approximated easily by smooth functions J∈, but for a small parameter ∈>0, the corresponding discretized problems are ill-conditioned. The use of proximal point methods to set well ill-posed problems or to stabilize ill-conditioned problems is well known. We present some numerical experiences of comparing standard prox-regularization methods with weak norm-based regularization methods.

Keywords: prox-regularization methods; convex variational problems; Bingham flow problems; viscoplastic fluid flows (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004661513837

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