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Convergence of a Stochastic Method for the Modeling of Polymeric Fluids

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Abstract

We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asymptotics.

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Authors and Affiliations

  1. Department of Mathematics and PACM, Princeton University, Princeton, NJ, 08544, USA

    Weinan E*

  2. Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Tie-jun Li & Ping-wen Zhang**

Authors
  1. Weinan E*
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  2. Tie-jun Li
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  3. Ping-wen Zhang**
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Correspondence to Weinan E*.

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* Partially supported by US ONR grant (No. N00014-01-1-0674).

** Partially supported by the Chinese Special Funds for Major State Research Projects (No. G19999032804), the Teaching and Research Award for outstanding young teachers from the Chinese MOE.

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E*, W., Li, Tj. & Zhang**, Pw. Convergence of a Stochastic Method for the Modeling of Polymeric Fluids. Acta Mathematicae Applicatae Sinica, English Series 18, 529–536 (2002). https://doi.org/10.1007/s102550200055

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  • DOI: https://doi.org/10.1007/s102550200055

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