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Creators/Authors contains: "Siddiqua, Farjana"

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  1. ; ; ; (, Computer Methods in Applied Mechanics and Engineering)
    Full Text Available 
  2. ; ; (, Numerical Methods for Partial Differential Equations)
    ABSTRACT In 1991 Ramshaw and Mesina proposed a novel synthesis of penalty methods and artificial compression methods. When the two were balanced they found the combination was 3–4 orders more accurate than either alone. This report begins developing a mathematical foundation addressing the reliability of their interesting method. We perform stability analysis, semi‐discrete error analysis, and tests of the algorithm. 
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  3. ; (, Numerical Methods for Partial Differential Equations)
    Abstract The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model has recently been corrected to incorporate this flow and still be well‐posed. Herein we first develop some basic properties of the corrected model. Next, we perform a complete numerical analysis of two algorithms for its approximation. They are tested and proven to be effective. 
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