By first identifying the primary cause of these oscillations to be the violation of the geometric conservation law near the immersed boundary, we adopt a cut-cell based approach to strictly enforce geometric conservation.
A novel numerical method for two-fluid flow computations is presented, which combines the space time discontinuous Galerkin finite element discretization with the level set method and cut-cell based interface tracking.
In order to limit the complexity associated with the cut-cell method, the cut-cell based discretization is limited only to the pressure Poisson and velocity correction equations in the fractional-step method and the small-cell problem tackled by introducing a virtual cell-merging technique.
By design of the external and internal wave current generators, the objective of this paper is to extend our efficient Navier Stokes solver [T. Li, P. Troch, J. De Rouck, Wave overtopping over a sea dike, J. Comput. Phys. 198 (2004) 686 726] for modelling of interactions between breaking waves and a current over a cut-cell grid, based on a dynamic subgrid-scale (SGS) model.
By introducing an exact reconstruction of the cut-cell properties directly based on a surface triangulation of the immersed boundary, we are able to recover the correct flow evolution free of numerical artifacts.
A new formulation for the treatment of small cut cells is proposed with high accuracy and robustness for arbitrary geometries based on a weighted Taylor-series approach solved via singular-value decomposition.
Cut points based on local laboratory values.
A high-order reconstruction approach using cell centered piecewise polynomial approximation of flow quantities, developed in the past for body-fitted grids, is now extended to the Cartesian based cut-cell method.
We significantly expanded on earlier studies by using a cut-off for positive anti-viral T cell responses based on background measurements in naïve animals.
This cut off is based on the knowledge that the differentiated human airway epithelium contains ∼20% basal cells [17], [26] [28], i.e, we expect a basal cell-enriched gene to have a basal cell/differentiated epithelium expression ratio of >5.
