Dominik Obrist

TL;DR: A two-phase model for the perfusion of a capillary network is introduced that accounts for the special role of RBCs and forms an efficient algorithm suitable for computing the pressure and flow field as well as a continuous haematocrit distribution in large capillary networks at steady state.

TL;DR: In this paper, a simple extension of the classic Gortler-Hammerlin (1955) model, essential for 3D linear instability analysis, is presented, which results in one-dimensional linear eigenvalue problems, a temporal or spatial solution of which, presented herein, is demonstrated to recover results otherwise only accessible to the spatial partial-derivative eigen value problem (the former also solved here) or to spatial direct numerical simulation (DNS).

TL;DR: In this paper, the size of dripping droplets can be accurately predicted by a simple analytic expression based on the ratio of shear and interfacial forces acting on the droplet surface, also known as the Capillary number.

TL;DR: A massively parallel high-order Navier-Stokes solver for large incompressible flow problems in three dimensions that uses a highly efficient commutation-based preconditioner and investigates the absolute accuracy of the implementation with respect to the different termination criteria.

Abstract: Following the study of the spectral properties of linearized swept Hiemenz flow, we investigate the potential of swept Hiemenz flow to support transiently growing perturbations owing to the non-normal nature of the underlying linear stability operator. Transient amplification of perturbation energy is found for polynomial orders higher than zero, and a catalytic role of the continuous modes in increasing transient growth is demonstrated. The adjoint stability equations are derived and used in a numerical receptivity experiment to illustrate the scattering of vortical free-stream disturbances into the least stable boundary layer mode