In the case of the Navier Stokes equations for incompressible flows, solving the elliptic pressure Poisson equation can represent the most important part of the computational time required for the massively parallel simulation of the flow.
We compare the two approaches for the case of incompressible layer between the phases and calculate effective properties of fiber reinforced composites with periodic square arrays of fibers possessing imperfect contact with the surrounding material.
30 (1978) 103] for the stresses and an H1 piecewise linear interpolation for the displacements leads to a severe locking when the Lamé coefficient λ tends to infinity, i.e. in the case of an incompressible material.
As in the case of incompressible flows, alternative formulations for the prediction of turbulent flows are used.
In this paper we will extend this method to the case of incompressible Navier Stokes equations.
We include the full analysis of stability and convergence of the method in the linear advection diffusion equation, and a battery of tests for the case of laminar and turbulent incompressible Navier Stokes equations.
Analytical solutions for the case of three-point flexure loading are presented for both compressible and incompressible interlayers.
A degree adaptive Hybridizable Discontinuous Galerkin (HDG) method for the solution of the incompressible Navier Stokes equations is presented.
In addition, the proposed model has the merit that it recovers a known exact solution for the special case of incompressible Neo-Hookean phases, as well as some other known exact solutions for more general constituents under special loading conditions.
The model is first applied to the case of two-phase composites with isotropic, linear and incompressible viscoelastic properties.
A new subgrid-scale chemistry model, previously proposed for incompressible, isothermal flows, is extended to the case of compressible combustion with multi-step, Arrhenius-rate reactions.
