A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

We present a moving control volume (CV) approach to computing hydrodynamic forces and torques on complex geometries. The method requires surface and volumetric integrals over a simple and regular Cartesian box that moves with an arbitrary velocity to enclose the body at all times. The moving box is aligned with Cartesian grid faces, which makes the integral evaluation straightforward in an immersed boundary (IB) framework. Discontinuous and noisy derivatives of velocity and pressure at the fluid-structure interface are avoided and far-field (smooth) velocity and pressure information is used. We re-visit the approach to compute hydrodynamic forces and torques through force/torque balance equation in a Lagrangian frame that some of us took in a prior work (Bhalla et al., J Comp Phys, 2013). We prove the equivalence of the two approaches for IB methods, thanks to the use of Peskin's delta functions. Both approaches are able to suppress spurious force oscillations and are in excellent agreement, as expected theoretically. Test cases ranging from Stokes to high Reynolds number regimes are considered. We discuss regridding issues for the moving CV method in an adaptive mesh refinement (AMR) context. The proposed moving CV method is not limited to a specific IB method and can also be used, for example, with embedded boundary methods

Simulating water-entry/exit problems using Eulerian-Lagrangian and fully-Eulerian fictitious domain methods within the open-source IBAMR library

In this paper we employ two implementations of the fictitious domain (FD) method to simulate water-entry and water-exit problems and demonstrate their ability to simulate practical marine engineering problems. In FD methods, the fluid momentum equation is extended within the solid domain using an additional body force that constrains the structure velocity to be that of a rigid body. Using this formulation, a single set of equations is solved over the entire computational domain. The constraint force is calculated in two distinct ways: one using an Eulerian-Lagrangian framework of the immersed boundary (IB) method and another using a fully-Eulerian approach of the Brinkman penalization (BP) method. Both FSI strategies use the same multiphase flow algorithm that solves the discrete incompressible Navier-Stokes system in conservative form. A consistent transport scheme is employed to advect mass and momentum in the domain, which ensures numerical stability of high density ratio multiphase flows involved in practical marine engineering applications. Example cases of a free falling wedge (straight and inclined) and cylinder are simulated, and the numerical results are compared against benchmark cases in literature.Comment: The current paper builds on arXiv:1901.07892 and re-explains some parts of it for the reader's convenienc

Tunneling magnetoresistance in (La,Pr,Ca)MnO3 nanobridges

The manganite (La,Pr,Ca)MnO3 is well known for its micrometer scale phase separation into coexisting ferromagnetic metallic and antiferromagnetic insulating (AFI) regions. Fabricating bridges with widths smaller than the phase separation length scale has allowed us to probe the magnetic properties of individual phase separated regions. We observe tunneling magnetoresistance across naturally occurring AFI tunnel barriers separating adjacent ferromagnetic regions spanning the width of the bridges. Further, near the Curie temperature, a magnetic field induced metal-to-insulator transition among a discrete number of regions within the narrow bridges gives rise to abrupt and colossal low-field magnetoresistance steps at well defined switching fields.Comment: 13 pages, 3 figures, submitted to Applied Physics Letter

A low Mach enthalpy method to model non-isothermal gas-liquid-solid flows with melting and solidification

Modeling phase change problems numerically is vital for understanding many natural (e.g., ice formation, steam generation) and engineering processes (e.g., casting, welding, additive manufacturing). Almost all phase change materials (PCMs) exhibit density/volume changes during melting, solidification, boiling, or condensation, causing additional fluid flow during this transition. Most numerical works consider only two phase flows (either solid-liquid or liquid-gas) for modeling phase change phenomena and some also neglect volume/density change of PCMs in the models. This paper presents a novel low Mach enthalpy method for simulating solidification and melting problems with variable thermophysical properties, including density. Additionally, this formulation allows coupling a solid-liquid PCM with a gas phase in order to simulate the free surface dynamics of PCMs undergoing melting and solidification. We revisit the two-phase Stefan problem involving a density jump between two material phases. We propose a possible means to include the kinetic energy jump in the Stefan condition while still allowing for an analytical solution. The new low Mach enthalpy method is validated against analytical solutions for a PCM undergoing a large density change during its phase transition. Additionally, a few simple sanity checks are proposed to benchmark computational fluid dynamics (CFD) algorithms that aim to capture the volume change effects of PCMs

Cerebral phaeohyphomycosis: An important differential of tubercular brain abscess

Cerebral phaeohyphomycosis (CP), caused by dematiaceous fungi, is a serious form of central nervous system fungal infection. It is a rare disease with male predominance, no specific symptoms or signs and is associated with grim prognosis irrespective of the immune status of the patient. The disease is difficult to diagnose antemortem, and many cases are accidentally diagnosed during surgery or autopsy. The early diagnosis and appropriate treatment remain a challenge. The authors report a misinterpreted case of CP in a 53-year-old man without immunodeficiency who showed a favorable outcome after surgical excision and antifungal therapy. Therefore, CP should be an important differential in cases of brain abscess