Computational Physics

Incorporating Thin Viscosity Boundary Layer in 3D Acoustic Equations

BoundaryLayer

An approximate boundary condition is developed in this work to model fluid shear viscosity at boundaries of coupled fluid-structure system. The effect of shear viscosity is approximated by a correction term to the inviscid boundary condition, written in terms of second order in-plane derivatives of pressure. This finite element method-based approximation is several orders computationally economic than solving the full 3D Naiver-Stokes equation while accuracy is well retained.

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