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The BEM numericl model for compressible viscous fluid dynamics
Škerget, Leopold
In this study, the BEM, which has been established for the viscous incompressible fluid motion, is modified and extended to capture the compressible fluid state. The velocity-vorticity formulation of ...the time dependent dynamical set of equations is employed, where the kinematics is given by the Poisson velocity vector equation, while the kinetics is represented by the vorticity transport equation. The method is applied to consider buoyancy driven flow in closed cavities, differentially heated under large temperature gradients. The ideal gas law is used and viscosity is given by the Sutherland law. The numerical simulation results for natrural convection in a differentially heated square cavity are presented and compared with those obtained by the Boussinesq approximation of incompressibility.
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