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The Integral Formula for Pressure Field in the Nonstationary Barotropic Flows of Viscous Fluid

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Abstract

An integral expression of pressure via dynamical characteristics of the vortex and velocity fields for viscous fluid is presented. This expression may be considered as an analog (or generalization) of the Bernoulli equation for nonstationary vortex flows of ideal or viscous fluids, including the case of an external nonconservative mass force. The presented formulas are useful for calculating the pressure field when meshless vortex methods are applied for the flow simulation.

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Authors and Affiliations

  1. Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr.1, Moscow, 119192, Russia

    G. Ya. Dynnikova

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  1. G. Ya. Dynnikova
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Correspondence to G. Ya. Dynnikova.

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Communicated by A. V. Fursikov

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Dynnikova, G.Y. The Integral Formula for Pressure Field in the Nonstationary Barotropic Flows of Viscous Fluid. J. Math. Fluid Mech. 16, 145–162 (2014). https://doi.org/10.1007/s00021-013-0148-z

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  • DOI: https://doi.org/10.1007/s00021-013-0148-z

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