Development of numerical methods for internal flows such as the flow in gas turbines or compressors has generally met with less success than that for external flows, due to the complexity of the flow pattern. Potential flow methods had been the major approach in cascade flow calculations until fairly recently, when solution of the Euler equations became practically feasible. The most widely use...

We discuss and prove a number of results for calculating characteristic cycles, or graded, enriched characteristic cycles. We concentrate particularly on results related to hypersurfaces.

We present a method to calculate nuclear matter properties in the superfluid phase. The method is based on the use of self-consistent off-shell nucleon propagators in the T-matrix equation. Such a complete treatment of the spectral function, is required below and around Tc due to a pseudogap formation in the spectral function. In the superfluid phase we introduce the anomalous self-energy in th...

In these lectures I shall attempt to survey some of the principal recent developments in computational aerodynamics. Prior to 1960 computational methods were hardly used in aerodynamic analysis, although they were already widely used for structural analysis. The NACA 6 series of airfoils had been developed during the forties, using hand computation to perform the Theodorsen method for conformal...

We are developing a computer code, ORBIT, specifically for beam dynamics calculations in highintensity rings. Our approach allows detailed simulation of realistic accelerator problems. ORBIT is a particle-incell tracking code that transports bunches of interacting particles through a series of nodes representing elements, effects, or diagnostics that occur in the accelerator lattice. At present...

in this paper, the effects of adding nanoparticles including tio2 to a fluid media for purpose of free convection heat transfer improvement were analyzed. the free convection was assumed to be in laminar flow regime and the solutions and calculations were all done by the integral method. water, as a newtonian fluid, was considered the base fluid (water) and all the thermo physical properties of...

nowadays nmr spectroscopy becomes a powerful tool in chemistry because of the nmr chemical shifts. hartree–fock theory and the gauge-including atomic orbital (giao) methods are used in the calculation of 29si nmr chemical shifts of various silicate species in the silicate solution as initial components for zeolite synthesis both in gas and solution phase. calculations have been performed at geo...

Interest in the study of Halicystis and of Valonia has been stimulated by discoveries of marked contrasts and striking similarities existing side by side. This is illustrated by new experiments with the alkali metals and alkaline earths. In Halicystis the apparent mobilities of K(+), Rb(+), Cs(+), and Li(+) (calculated by means of Henderson's equation from changes in P.D. produced by replacing ...

In particular, the ideal class group is generated by the prime ideals with norm not exceeding this bound. We will use the Minkowski bound to compute class groups of various quadratic fields. (The computation of class numbers, rather than class groups, can be obtained by analytic methods. If the class number is prime, then of course the class group is cyclic, but we don’t know the class group ri...