A comparison of conservative upwind difference schemes for the Euler equations

Numerical results are presented and compared for three conservative upwind difference schemes for the Euler equations when applied to two standard test problems. This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of different averaging of the flow variables. Two of the schemes are also shown to be equivalent in their implementation, while being different in construction and having different approximate Jacobians. (C) 2006 Elsevier Ltd. All rights reserved.

Conservative upwind difference schemes for the Euler equations for real gas flows in a duct

In a recent paper [P. Glaister, Conservative upwind difference schemes for compressible flows in a Duct, Comput. Math. Appl. 56 (2008) 1787–1796] numerical schemes based on a conservative linearisation are presented for the Euler equations governing compressible flows of an ideal gas in a duct of variable cross-section, and in [P. Glaister, Conservative upwind difference schemes for compressible flows of a real gas, Comput. Math. Appl. 48 (2004) 469–480] schemes based on this philosophy are presented for real gas flows with slab symmetry. In this paper we seek to extend these ideas to encompass compressible flows of real gases in a duct. This will incorporate the handling of additional terms arising out of the variable geometry and the non-ideal nature of the gas.

Observational and energetics constraints on the non-conservation of potential/Conservative Temperature and implications for ocean modelling

This paper seeks to elucidate the fundamental differences between the nonconservation of potential temperature and that of Conservative Temperature, in order to better understand the relative merits of each quantity for use as the heat variable in numerical ocean models. The main result is that potential temperature is found to behave similarly to entropy, in the sense that its nonconservation primarily reflects production/destruction by surface heat and freshwater fluxes; in contrast, the nonconservation of Conservative Temperature is found to reflect primarily the overall compressible work of expansion/contraction. This paper then shows how this can be exploited to constrain the nonconservation of potential temperature and entropy from observed surface heat fluxes, and the nonconservation of Conservative Temperature from published estimates of the mechanical energy budgets of ocean numerical models. Finally, the paper shows how to modify the evolution equation for potential temperature so that it is exactly equivalent to using an exactly conservative evolution equation for Conservative Temperature, as was recently recommended by IOC et al. (2010). This result should in principle allow ocean modellers to test the equivalence between the two formulations, and to indirectly investigate to what extent the budget of derived nonconservative quantities such as buoyancy and entropy can be expected to be accurately represented in ocean models.

Outcome Analysis of Immediate and Delayed Conservative Breast Surgery Reconstruction With Mastopexy and Reduction Mammaplasty Techniques

Background: Bilateral mammaplasty or mastopexy is frequently used for oncoplastic objectives. However, little information has been available regarding outcome following immediate and delayed reconstruction. Method: Patients were divided into Group I (immediate reconstruction) and Group II (delayed reconstruction). Retrospective review was performed to compare complications, length of hospital stay, revision surgeries, and satisfaction. The associations between the complications with potential risk factors (timing, age, body mass index, smoking, and comorbid medical conditions) were analyzed. Results: There were a total of 144 patients with a mean follow-up of 47 months. Of the 106 patients in Group I, complications occurred in 24 (22.6%), skin necrosis was observed in 7.5%, fat necrosis in 5.6%, and 6.6% patients developed local recurrence. Mean period of hospitalization was 1.89 days. Of the 38 patients of the Group II, complications occurred in 12 (31.5%), skin necrosis was observed in 7 (18.4%), fat necrosis in 4 (10.5%), and 5.2% patients developed local recurrence. Mean period of hospitalization was 1.35 days. Increased length of hospital stay greater than 1 day (P < 0.001) and the number of revision surgeries (P = 0.043) were associated with the timing of the reconstruction. In univariate analysis, no difference between groups was found with respect to complication incidence (P = 0.275); however, after adjusting for other risk factors, the probability of complications tend to be higher for Group II (OR = 2.65; 95% confidence interval - 1.01-7.00; P = 0.049). Conclusions: On the basis of the results of our study, the probability of complications tends to be higher for delayed reconstructions, and it is demonstrated that obesity and smoking are risk factors for complications. Ultimately, these data may facilitate the provision of individualized risk information for shared medical decision-making.

Immediate conservative breast surgery reconstruction with perforator flaps: New challenges in the era of partial mastectomy reconstruction?

Introduction: Although the use of local flaps in conservative breast surgery (CBS) reconstruction is a reliable technique, little information has been available regarding outcome following the use of perforator flaps. The purpose of this study is to analyze the feasibility, surgical planning and outcome following CBS reconstruction with intercostal artery perforator (ICAP) flap. Patients/methods: Thirteen patients underwent CBS reconstructions with an ICAP flap. These flaps were raised from adjacent tissue located on the lateral and thoracic region and based on perforators originating from the costal and muscular segment of the intercostal vessels. The technique was indicated in patients with small/moderate volume breasts. Results: Mean time of follow-up was 32 months. Flap complications were evaluated and information on patient satisfaction were collected. 61.5 percent had tumors located in the lower-outer quadrants and 69.2 percent had tumors measuring 2 cm or less (T1). Complications occurred in 3 patients (23%), including wound dehiscence in 2 patients and fat necrosis in one. All cases were treated by conservative approach with a good result. No flap loss or wound infection were reported. 90 percent were either satisfied or very satisfied with their result. Conclusion: The ICAP flap is a reliable technique for immediate CBS reconstruction. The technique is advantageous because it does not require the use of muscle transfer, with minimum donor site morbidity. Success depends on patient selection, coordinated planning with the oncological surgeon and careful intra-operative management. (C) 2011 Elsevier Ltd. All rights reserved.

Conservative force fields in non-Gaussian statistics

In this Letter, we determine the kappa-distribution function for a gas in the presence of an external field of force described by a potential U(r). In the case of a dilute gas, we show that the kappa-power law distribution including the potential energy factor term can rigorously be deduced in the framework of kinetic theory with basis on the Vlasov equation. Such a result is significant as a preliminary to the discussion on the role of long range interactions in the Kaniadakis thermostatistics and the underlying kinetic theory. (C) 2008 Elsevier B.V. All rights reserved.

Conservative ensembles for nonequilibrium lattice-gas systems

We show how to set up a constant particle ensemble for the steady state of nonequilibrium lattice-gas systems which originally are defined on a constant rate ensemble. We focus on nonequilibrium systems in which particles are created and annihilated on the sites of a lattice and described by a master equation. We consider also the case in which a quantity other than the number of particle is conserved. The conservative ensembles can be useful in the study of phase transitions and critical phenomena particularly discontinuous phase transitions.

The “Lunatic Fringe” -- Barry Goldwater and the Conservative Revolution of the 1960s --

How did conservatives, who had become effectively ostracized by their party following the Great Depression and the societal reforms of the New Deal, regain leverage within the GOP during the 1960s? My hypothesis is two-fold. First, I contend that a small group of conservative activists led by F. Clifton White, in spite of a dearth of resources and manpower, managed to infiltrate Republican infrastructure and “hijack” the delegate- selection process. The distinctly conservative and recalcitrant disposition of the Goldwater delegates demonstrates that these activists succeeded. Second, I argue that in addition to temporarily overpowering the national convention in 1964, conservatives thereafter retained control of the party insofar as subsequent GOP candidates were obliged to garner the support of conservative pockets of the country in order to win the presidential nomination. The resulting rightward shift of the Republican Party following the 1960s is a direct corollary of the conservative takeover outlined in this study.