We illustrate an application of the FFT-based Poisson solver by using it with a vortex particle mesh method for the approximation of incompressible flow for a problem with a single periodic and two unbounded directions.
The general domain decomposition approach is particularized for the reduced-order finite element approximation of the incompressible Navier Stokes equations with hyper-reduction.
For the sake of programming simplicity, the incompressible two-phase flow will be discretized in non-staggered grids without incurring checkerboard oscillations by the developed explicit compact scheme for the approximation of pressure gradient terms.
For example, in [17, 18], Zhao et al. studied the artificial compressibility approximation for the incompressible convective Brinkman-Forchheimer equations and the non-Newtonian fluid equations, respectively.
This paper presents a study of the behavior of several difference approximations for the incompressible Navier Stokes equations as a function of the computational mesh resolution.
The DG schemes for the concentration and some of their properties are introduced in Section 3. Stabilized mixed DG methods are introduced for the velocity and pressure in Section 4. In Section 5, we propose the numerical approximation scheme of incompressible miscible displacement problems with a fully discrete in time, combined with a mixed, stabilized and discontinuous Galerkin method.
An important feature of the used analytical model was an approximation of the PDL as an almost incompressible material with a Poisson's ratio equal to 0.4 0.49 (Rees and Jacobsen 1997).
Liu, J. Shen, A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method, Phys.
However, we could consider the compressible penalty and weakly penalized approaches as approximations to the incompressible system.
A parametric finite element approximation of incompressible two-phase flow with soluble surfactants is presented.
