Efficient solutions to the Euler equations for supersonic flow with embedded subsonic regions

A line Gauss-Seidel (LGS) relaxation algorithm in conjunction with a one-parameter family of upwind discretizations of the Euler equations in two dimensions is described. Convergence of the basic algorithm to the steady state is quadratic for fully supersonic flows and is linear for other flows. This is in contrast to the block alternating direction implicit methods (either central or upwind differenced) and the upwind biased relaxation schemes, all of which converge linearly, independent of the flow regime. Moreover, the algorithm presented herein is easily coupled with methods to detect regions of subsonic flow embedded in supersonic flow. This allows marching by lines in the supersonic regions, converging each line quadratically, and iterating in the subsonic regions, and yields a very efficient iteration strategy. Numerical results are presented for two-dimensional supersonic and transonic flows containing oblique and normal shock waves which confirm the efficiency of the iteration strategy

Efficient Uncertainty Quantification Applied to the Aeroelastic Analysis of a Transonic Wing

The application of a Point-Collocation Non-Intrusive Polynomial Chaos method to the uncertainty quantification of a stochastic transonic aeroelastic wing problem has been demonstrated. The variation in the transient response of the first aeroelastic mode of a three-dimensional wing in transonic flow due to the uncertainty in free-stream Mach number and angle of attack was studied. A curve-fitting procedure was used to obtain time-independent parameterization of the transient aeroelastic responses. Among the uncertain parameters that characterize the time-dependent transients, the damping factor was chosen for uncertainty quantification, since this parameter can be thought as an indicator for flutter. Along with the mean and the standard deviation of the damping factor, the probability of having flutter for the given uncertainty in the Mach number and the angle of attack has been also calculated. Besides the Point-Collocation Non-Intrusive Polynomial Chaos method, 1000 Latin Hypercube Monte Carlo simulations were also performed to quantify the uncertainty in the damping factor. The results obtained for various statistics of the damping factor including the flutter probability showed that an 8th degree Point-Collocation Non-Intrusive Polynomial Chaos expansion is capable of estimating the statistics at an accuracy level of 1000 Latin Hypercube Monte Carlo simulation with a significantly lower computational cost. In addition to the uncertainty quantification, the response surface approximation, sensitivity analysis, and reconstruction of the transient response via Non-Intrusive Polynomial Chaos were also demonstrated

Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables

The accuracy and the computational efficiency of a Point-Collocation Non-Intrusive Polynomial Chaos (NIPC) method applied to stochastic problems with multiple uncertain input variables has been investigated. Two stochastic model problems with multiple uniform random variables were studied to determine the effect of different sampling methods (Random, Latin Hypercube, and Hammersley) for the selection of the collocation points. The effect of the number of collocation points on the accuracy of polynomial chaos expansions were also investigated. The results of the stochastic model problems show that all three sampling methods exhibit a similar performance in terms of the the accuracy and the computational efficiency of the chaos expansions. It has been observed that using a number of collocation points that is twice more than the minimum number required gives a better approximation to the statistics at each polynomial degree. This improvement can be related to the increase of the accuracy of the polynomial coefficients due to the use of more information in their calculation. The results of the stochastic model problems also indicate that for problems with multiple random variables, improving the accuracy of polynomial chaos coefficients in NIPC approaches may reduce the computational expense by achieving the same accuracy level with a lower order polynomial expansion. To demonstrate the application of Point-Collocation NIPC to an aerospace problem with multiple uncertain input variables, a stochastic computational aerodynamics problem which includes the numerical simulation of steady, inviscid, transonic flow over a three-dimensional wing with an uncertain free-stream Mach number and angle of attack has been studied. For this study, a 5th degree Point-Collocation NIPC expansion obtained with Hammersley sampling was capable of estimating the statistics at an accuracy level of 1000 Latin Hypercube Monte Carlo simulations with a significantly lower computational cost

A Non-Intrusive Polynomial Chaos Method for Uncertainty Propagation in CFD Simulations

An inexpensive non-intrusive polynomial chaos (NIPC) method for the propagation of input uncertainty in CFD simulations is presented. The method is straightforward to implement for any stochastic fluid dynamics problem and computationally less expensive than sampling or quadrature based non-intrusive methods. To validate the present NIPC approach, the method has been applied to: (1) an inviscid oblique shock wave problem with geometric uncertainty, (2) an inviscid expansion wave problem with geometric uncertainty, and (3) a subsonic, two-dimensional, laminar boundary layer flow over a flat plate with an uncertain free-stream dynamic viscosity. For all test cases, the statistics (mean and the standard deviation) obtained with the NIPC method were in good agreement with the results of the Monte Carlo simulations. A fourth order polynomial chaos expansion was sufficient to approximate the statistics and the shape of the output uncertainty distributions with the desired accuracy. Only in the shock region of the first test case a sixth order polynomial expansion was required to estimate the statistics of pressure within the 95% confidence intervals of the Monte Carlo results, since the shape of the distributions obtained with 3rd order spatially accurate Euler solutions were highly non-Gaussian in this region

Repeat Sequence Fluorene-co-Methylene Polymers and Phosphorescent Mercury Sensors

The synthesis of liquid crystalline alternating copolymers containing exact segment lengths of fluorene and methylene units is described. The copolymers were made by first assembling the 9,9-bis-(2-ethylhexyl)-flourene oligomers with repeat units of 3-8 followed by attachment of alkyl groups with terminal olefins capable of undergoing acyclic diene metathesis (ADMET) polymerization. The photophysical and thermal properties of these polymers were studied and are described. The absorption and emission maximums as well as the liquid crystalline transition temperatures are directly related to the number of repeat fluorene and methylene units contained in each segment.Two different mercury sensors that use long lived luminescence as the detecting signal are described. The long lived emission allows for time resolved emission spectroscopy that can eliminate background noise that is problematic in detecting very low levels of mercury in samples. Both sensors use mercury coordinating species based upon thymine groups that are capable on binding mercury ions selectively over other metal ions that may be present in mercury containing samples. The two sensors differ greatly in the mechanism for the generation of long lived luminescence. One is based on phosphorescent 2-phenylpyridine iridium complexes and the other is based upon fluorene sensitized europium complexes. The two sensors both show the ability to detect mercury ions at 10-6 molar levels and it is believed that the detection level should be even lower when time resolved emission spectroscopy is used. The iridium sensor shows a quenching of phosphorescence in the presence of mercury and the europium sensor shows an increase in the long lived luminescence but a decrease in fluorescence in the presence of mercury ions

The hepatitis C virus 3′-untranslated region or a poly(A) tract promote efficient translation subsequent to the initiation phase

Enhancement of eukaryotic messenger RNA (mRNA) translation initiation by the 3′ poly(A) tail is mediated through interaction of poly(A)-binding protein with eukaryotic initiation factor (eIF) 4G, bridging the 5′ terminal cap structure. In contrast to cellular mRNA, translation of the uncapped, non-polyadenylated hepatitis C virus (HCV) genome occurs independently of eIF4G and a role for 3′-untranslated sequences in modifying HCV gene expression is controversial. Utilizing cell-based and in vitro translation assays, we show that the HCV 3′-untranslated region (UTR) or a 3′ poly(A) tract of sufficient length interchangeably stimulate translation dependent upon the HCV internal ribosomal entry site (IRES). However, in contrast to cap-dependent translation, the rate of initiation at the HCV IRES was unaffected by 3′-untranslated sequences. Analysis of post-initiation events revealed that the 3′ poly(A) tract and HCV 3′-UTR improve translation efficiency by enabling termination and possibly ribosome recycling for successive rounds of translation

Implicit flux-split schemes for the Euler equations

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76617/1/AIAA-25152-491.pd

Uranium Monosulfide. The Ferromagnetic Transition. The Heat Capacity and Thermodynamic Properties from 1.5° to 350°K

The heat capacity of uranium monosulfide was measured from 1.5° to 22°K by an isothermal (isoperibol) method and from 6° to 350°K by an adiabatic technique. The ferromagnetic transition at 180.1°K has a characteristic lambda shape and associated magnetic ordering entropy and enthalpy increments of 1.62 ± 0.2 cal °K−1mole−1 and 231 ± 20 cal mole−1, respectively, over the temperature range 0° to 230°K. The correlation of the thermal data with magnetic studies is discussed. The heat capacity below 9°K is represented by Cp  =  5.588 × 10−3T + 2.627 × 10−4T3 / 2 + 6.752 × 10−5T3cal°K−1mole−1Cp=5.588×10−3T+2.627×10−4T3∕2+6.752×10−5T3cal°K−1mole−1, in which the successive terms represent conduction electronic, magnetic, and lattice contributions. Values of the entropy [S°], enthaply function [(H° − H°0) / T][(H°−H°0)∕T], and Gibbs‐energy function [(G° − H°0) / T][(G°−H°0)∕T] are 18.64 ± 0.005, 8.94 ± 0.002, and − 9.70 ± 0.02 cal °K−1 mole−1, respectively, at 298.15°K. The Gibbs energy of formation at 298.15°K is − 72.9 ± 3.5 kcal mole−1.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/70623/2/JCPSA6-48-1-155-1.pd

Reliability of the running vertical jump test in female team sport athletes

Injury rates to the lower limb have increased over the past 40 years, coinciding with increases in female sport participation rates. Sport specific tests such as the running vertical jump (RVJ) are utilised for injury risk profiling, however the test-retest reliability is unknown. Objectives: The aim of this study was to investigate the test-retest reliability of the thorax, pelvis and lower limb joint angular kinematics and kinetics for the RVJ test in female team sport athletes. Design: Three-dimensional motion capture with force plate integration was utilised as participants performed five trials on each limb on three separate days. Setting: Testing occurred in a biomechanics laboratory. Participants: Thirty-four females (Australian Rules Football = 15, Netball = 12, Soccer = 7) participated in this study. Main Outcome Measures: Intraclass correlation coefficients (ICC), effect sizes and typical errors (TE) of segment and joint angular kinematics and kinetics were calculated. Results: Poor to excellent reliability (ICC = −0.12 – 0.92), small to large effect sizes (0.00–0.90) and TE (0.02–289.24) were observed across segment and joint angular kinematics and kinetics. Conclusions: The RVJ test is recommended when analysing ground reaction forces and joint angular kinematics in female team sport athletes