对流扩散方程的一种新型特征差分方法

利用在网格内恰当选取特征线上插值点的技巧,提出了一种新型的求解对流扩散方程的特征差分方法,并给出了稳定性与收敛性分析.该方法避免了数值扩散的产生,同时具有O(τ h~2)阶的收敛阶.数值实验表明,该方法是一个高效、稳定和收敛的数值方法.     

Particle migrations in laminar mixing of a suspension with a clean fluid

Zusammenfassung Die laminare Mischung von zwei Flüssigkeitsströmen wird untersucht, von denen der eine Suspensionsteilchen mitführt, während der andere ursprünglich rein ist. Berücksichtigt wird der Schlupf, sowie die in der Scherströmung auftretende Querkraft auf die Teilchen. Störungslösungen werden für den Anfang der Mischzone, sowie für die weit stromabwärts liegenden Gebiete angegeben; diese beschreiben das Geschwindigkeitsfeld beider Phasen, den Phasenschlupf, sowie die Teilchenkonzentration.     

非线性多值算子扰动的映射定理

本文讨论非线性多值算子的非紧扰动的映射定理，并给出非线性泛函方程ｚ∈Ｔ（ｘ）＋Ｆ（ｘ）可解性的最新结果，其中Ｔ是多值算子且（Ｔ＋１/ｎＩ）^－１是１－集压缩，而Ｆ是１－集压缩或γ－凝聚．所得的结果改善了［５，８，１２］中的主要结果     

Dark energy: A brief review

The problem of dark energy is briefly reviewed in both theoretical and observational aspects. In the theoretical aspect, dark energy scenarios are classified into symmetry, anthropie principle, tuning mechanism, modified gravity, quantum cosmology, holographic principle, back-reaction and phenomenologieal types. In the observational aspect, we introduce cosmic probes, dark energy related projects, observational constraints on theoretical models and model independent reconstructions.     

Manifold structures on abstract regular polytopes

Summary Abstract regular polytopes are complexes which generalize the classical regular polytopes. This paper discusses the topology of abstract regular polytopes whose vertex-figures are spherical and whose facets are topologically distinct from balls. The case of toroidal facets is particularly interesting and was studied earlier by Coxeter, Shephard and Grünbaum. Ann-dimensional manifold is associated with many abstract (n + 1)-polytopes. This is decomposed inton-dimensional manifolds-with-boundary (such as solid tori). For some polytopes with few faces the topological type or certain topological invariants of these manifolds are determined. For 4-polytopes with toroidal facets the manifolds include the 3-sphereS ³, connected sums of handlesS ¹ × S ² , euclidean and spherical space forms, and other examples with non-trivial fundamental group.     

Extremal clique coverings of complementary graphs

Letcc(G) (resp. cp(G)) be the least number of complete subgraphs needed to cover (resp. partition) the edges of a graphG. We present bounds on max {cc(G)+cc(Ḡ)}, max {cp(G)+cp(Ḡ)}, max {cc(G)cc(Ḡ)} and max {cp(G)cp(Ḡ)} where the maxima are taken over all graphsG onn vertices and Ḡ is the complement ofG inK _n . Several related open problems are also given.     

Two-dimensional modeling and simulation for dynamic sheathexpansion during plasma immersion ion implantation

A pseudo two-dimensional (2-D) analytical model and a 2-D plasma simulator PDP2 code have been utilized to characterize ion-matrix sheath and dynamic sheath expansion during the plasma immersion ion implantation process. The pseudo 2-D model is very simple by involving two geometry factors and yields an acceptable accuracy under the current process conditions. Good agreement between the pseudo 2-D model and PDP2 simulation was observed     

Characteristics of radiation induced light in optical fibres for portal imaging application

The purpose of this paper is to characterize the radiation induced light in optical fibres to optimise the design of a new Cherenkov detector for portal imaging application in radiation therapy. Experiments were performed using a single optical fibre to evaluate the angle dependence, spectrum and temporal properties of the radiation induced light in the optical fibre in comparison with that of Cherenkov radiation. A theoretical model was also developed to compare with experiments. It has been found that radiation-induced light output from the optical fibre under megavoltage (MV) x-ray irradiation is significantly (about 45 times) higher than that under 100 kVp x-ray irradiation for the same dose rate at the fibre. The angular-dependence, spectrum and temporal properties of the radiation induced light in the optical fibre under MV x-ray irradiation match that of Cherenkov radiation. Different angular dependence and spectrum results from that of previous studies on radiation induced light in optical fibres have also been found. The result of the theoretical model agrees with the angle-dependence measurements.     

Ion and electron energies in gated field emitter failures

In previous work (1992), the authors studied the characteristics of gated field emitter failures and developed a theory to explain failure initiation. During a failure, the voltage between the emitter tip and gate (spaced 1 μm apart) was found to drop from -140 V to ≈-10 V. The current density was found to be ~10¹² A/m² during the failure, and plumes of ions and electrons were injected into vacuum. The ratio of ion current to electron current was found to be 10%. Those results indicated that the failures were similar to cathodic vacuum arcs. In the present study the energies of the ions and electrons are measured using a retarding potential energy analyzer. The results show that there are ions with energies as high as 80 eV and electrons with energies of 6 eV. The high-energy ions confirm that emitter failures are cathodic vacuum arcs     

Gate field emitter failures: experiment and theory

Intrinsic failures of gated field emitters have been studied. The gate-emitter voltage drops from typical values of 140 V to 10-70 V in less than 10 ns at the onset of a failure. Measurements with an electrostatic probe indicate that plumes of ions and electrons are ejected into vacuum. The measured ion current to the probe is typically 10% of the electron current. The voltage during the event and the ion-to-electron current ratio measured at the probe are characteristic of a cathodic vacuum arc plasma. For series resistors less than 1 kΩ, the arc is continuous, while the series resistors greater than 10 kΩ, the arc is intermittent. Initiation of the failure based on ion-space charge enhancement of the emitter electric field is modeled with the plasma simulation code PDS1. These structures provide a controlled geometry for studying arcs of micron size dimension