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Incompressible Mathematical Model

Incompressible model solves the system of incompressible Navier-Stokes equations [*], [*].

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  • Mass conservation [*]
  • Momentum conservation [*]
  • where: Symbol $ \partial$ is partial derivative, $ {\textbf u}$ is velocity vector, $ t$ is time, $ p$ is static pressure [    Pa$ /($kg$ \,$   m$ ^{-3})=$m$ ^2$   s$ ^{-2}$], $ \mu$ is dynamic viscosity, $ \nu$ is kinematic viscosity and $ {\textbf g}$ is gravitational acceleration vector.
  • The whole system is closed with boundary conditions.