A Cartesian grid embedded boundary method for solving the Poisson and heat equations with discontinuous coefficients in three dimensions

We present a method for solving Poisson and heat equations with discontinuous coefficients in two- and three-dimensions. It uses a Cartesian cut-cell/embedded boundary method to represent the interface between materials, as described in Johansen and Colella (1998). Matching conditions across the interface are enforced using an approximation to fluxes at the boundary. Overall second order accuracy is achieved, as indicated by an array of tests using non-trivial interface geometries. Both the elliptic and heat solvers are shown to remain stable and efficient for material coefficient contrasts up to 10⁶, thanks in part to the use of geometric multigrid. A test of accuracy when adaptive mesh refinement capabilities are utilized is also performed. An example problem relevant to nuclear reactor core simulation is presented, demonstrating the ability of the method to solve problems with realistic physical parameters.     

空气中激光烧蚀Cu产生等离子体发射光谱的研究

利用Q-开关Nd:YAG激光器产生的1.06 μm、10 ns的脉冲激光聚焦在空气中的Cu靶上,观测了激光诱导的Cu等离子体发射光谱.采用不同的激光能量,分析了波长范围为440 nm到540 nm的空间分辨发射光谱.在局部热力学平衡(LTE)条件近似下,根据谱线的相对强度,得到了等离子体电子温度约在104 K以上,给出了靶面附近电子温度的空间演化规律,并探讨了N(Ⅱ)500.52 nm谱线的谱线强度和半高全宽随激光能量的变化规律.     

Oscillation frequency dependence of nonclassical rotation inertia of solid 4He

The nonclassical rotational inertia fraction of the identical cylindrical solid 4He below 300 mK is studied at 496 and 1173 Hz by a double resonance torsional oscillator. Below 35 mK, the fractions are the same at sufficiently low rim velocities. Above 35 mK, the fraction is greater for the higher than the lower mode. The dissipation peak of the lower mode occurs at a temperature approximately 4 mK lower than that of the higher mode. The drive dependence of the two modes shows that the reduction of the fraction is characterized by critical velocity, not amplitude or acceleration.     

Tests on the local strengths of elastic thin-walled columns

Experiments on the local-collapse strengths of thin-walled square-section columns are described. The modeling medium is silicone rubber, and the method of casting silicone-rubber sheet, its mechanical properties, and the manufacture of the models are presented in some detail. An account is given of the simple compression-test procedure and the interpretation of the results. The results are compared with a rigorous elastic theory, and it is concluded that the agreement between experiment and theory is satisfactory.     

Low temperature phase transitions and magnetic structure of PrB6

Specific heat, thermal expansion and electrical resistivity measurements on PrB₆ single crystals show that there are two low temperature phase transitions at 6.9 K and 4.2 K, respectively, the latter temperature varying somewhat among different crystals. Neutron diffraction measurements were made on both single and polycrystalline samples of PrB₆. The neutron data indicate a spontaneous incommensurate magnetic ordering at 6.9 K with Q = (0.23, 0.23, 0.5) 2π/a_o. At 4.2 K a commensurate magnetic phase is seen with Q = (0.25, 0.25, 0.5) 2π/a_o coexisting with the incommensurate phase At 1.74 K, only the commensurate phase remains. A model is proposed for the commensurate antiferromagnetic structure and a profile analysis based on that model yields a magnetic moment of 1.77 Bohr magnetons per praseodymium ion at 1.74 K.     

3D high-resolution contrast enhanced MRI of carotid atheroma — a technical update

Objective

Development of a fast 3D high-resolution magnetic resonance imaging (MRI) protocol for improved carotid artery plaque imaging.

Methods

Two patients with carotid atherosclerosis disease underwent 3D high-resolution MRI which included time-of-flight and T₁-weighted variable flip angle, fast-spin-echo (FSE) imaging, pre- and post-intravenous gadolinium-based contrast agent administration.

Results

Good quality images with intrinsic blood suppression were obtained pre- and post-contrast administration using a 3D FSE sequence. The plaque burden, lipid core volume, hemorrhage volume and fibrous cap thickness were well determined.

Conclusions

3D high-resolution MR imaging of carotid plaque using TOF and 3D FSE can achieve high isotropic resolution, large coverage, and excellent image quality within a short acquisition time.     

EFFECT OF OXYGEN ON PHOTO AUTOTROPHIC and HETEROTROPHIC GROWTH OF Chlamydomonas reinhardtii IN AN ANOXIC ATMOSPHERE

Photoautotrophic growth of Chlamydomonas reinhardtii was shown to be independent of the presence of atmospheric oxygen. Under constant light and photoautotrophic conditions, C. reinhardtii grew equally well in either air or 367 PPM CO2-in-He. During 12-h light-dark cycles, the cells in air grew substantially faster than those grown in CO2-in-He, indicating a significant role for O2 in dark metabolism. Although cells grown under CO2-in-He were not supplied any exogenous O2, photosynthetic water splitting resulted in the liberation of O2. The effect of photoevolved O2 on the growth of C. reinhardtii was examined (1) by measuring the amount of O2 consumed by photosynthesizing algae, (2) by growing the algae heterotrophically on acetate in the dark and supplied with O2 generated by photoautotrophically grown cells, and (3) by determining the minimum level of O2 needed to stimulate CO2 evolution from cells suspended in minimal medium supplemented with acetate. The results from these investigations indicated that exogenous O2 was not required for photoautotrophic growth by C. reinhardtii and that this alga grew in an anoxic environment if supplied with CO2 and light.