Evaluation of anti-inflammatory activity of derivatives from aerial parts of Baccharis uncinella

Context: Species of Baccharis exhibit antibiotic, antiseptic, and wound-healing properties, and have been used in the traditional medicine of South America for the treatment of inflammation, headaches, diabetes, and hepatobiliary disorders. Objective: To investigate the anti-inflammatory activity of organic phases from EtOH extract of the aerial parts of Baccharis uncinella DC (Asteraceae). Materials and methods: The crude EtOH extract from the aerial parts of B. uncinella was subjected to partition procedures and the corresponding CH(2)Cl(2) and EtOAc phases were subjected to several chromatographic separation procedures. Thus, these phases and their purified compounds were assayed for evaluation of anti-inflammatory activity. Results: The CH(2)Cl(2) phase from EtOH extract from B. uncinella contained two triterpenoids (oleanolic and ursolic acids) and one flavonoid (pectolinaringenin), whereas the respective EtOAc phase showed to be composed mainly by two phenylpropanoid derivatives (caffeic and ferulic acids). The CH(2)Cl(2) and EtOAc phases as well as their isolated compounds exhibited anti-inflammatory effects against inflammatory reactions induced by phospholipase A2 (from Crotalus durissus terrificus venom) and by carrageenan. Discussion and conclusion: The results suggested that the components obtained from partition phases of EtOH extract of B. uncinella could represent lead molecules for the development of anti-inflammatory agents. Additionally, the results confirmed the use of Baccharis genus in the traditional medicine of South America for the treatment of inflammation and other heath disorders. To date, the present work describes for the first time the anti-inflammatory effects of compounds isolated from B. uncinella.

A Educação Positiva aplicada à Técnica de Dança Clássica do 3ºAno B da Escola de Dança do Conservatório Nacional

Relatório Final de Estágio apresentado à Escola Superior de Dança, com vista à obtenção do grau de Mestre em Ensino de Dança.

On the origin of the ultradeep East Barents Sea basin

Very large subsidence, with up to 20 km thick sediment layers, is observed in the East Barents Sea basin. Subsidence started in early Paleozoic, accelerated in Permo-Triassic times, finished during the middle Cretaceous, and was followed by moderate uplift in Cenozoic times. The observed gravity signal suggests that the East Barents Sea is at present in isostatic balance and indicates that a mass excess is required in the lithosphere to produce the observed large subsidence. Several origins have been proposed for the mass excess. We use 1-D thermokinematic modeling and 2-D isostatic density models of continental lithosphere to evaluate these competing hypotheses. The crustal density in 2-D thermokinematic models resulting from pressure-, temperature-, and composition-dependent phase change models is computed along transects crossing the East Barents Sea. The results indicate the following. (1) Extension can only explain the observed subsidence provided that a 10 km thick serpentinized mantle lens beneath the basin center is present. We conclude that this is unlikely given that this highly serpentinized layer should be formed below a sedimentary basin with more than 10 km of sediments and crust at least 10 km thick. (2) Phase changes in a compositionally homogeneous crust do not provide enough mass excess to explain the present-day basin geometry. (3) Phase change induced densification of a preexisting lower crustal gabbroic body, interpreted as a mafic magmatic underplate, can explain the basin geometry and observed gravity anomalies. The following model is proposed for the formation of the East Barents Sea basin: (1) Devonian rifting and extension related magmatism resulted in moderate thinning of the crust and a mafic underplate below the central basin area explaining initial late Paleozoic subsidence. (2) East-west shortening during the Permian and Triassic resulted in densification of the previously emplaced mafic underplated body and enhanced subsidence dramatically, explaining the present-day deep basin geometry.

Le contact Gondwana - péri-Gondwana dans le Zanskar oriental (Ladakh-Himalaya)

A l'Est du fleuve Zanskar (Ladakh), la zone de suture de l'Indus sépare les nappes de la bordure nord-indienne du Gondwana (Haut-Himalaya, nappes du Zanskar, cristallin de Tso Morari) des éléments péri·gondwaniens du Trans-himalaya. Des recherches géologiques entreprises entre l'Indus el la Tsarap ont montré que: - la molasse autochlone du Ladakh est surmontée par un édifice de flysch et molasses tertiaires, rétrocharrié vers le NordEst et coiffé par les conglomérats post· éocène moyen du Stok Kangri et une formation eontinentale de molasse rouge; - - la zone de suture comprend deux unités. principales : a) au Nord et au Nord-Ouest, l'unité volcano-sédimentaire de Dras-Nindam avec des conglomérats et flysch crétacés, des brèches massives à radiolarHes et roches vertes; cette unité est accompagnée d'un mélange coloré à roches ultra-basiques, blocs exoti(Iues divers et une méga lentille de brèche carbonatée polygénique à grands Foraminifères (Nummulites ?) ; b) au Sud, l'unité de la Markha, un flysch à lentilles de calcaires plus ou moins marmoréens datée de la base du Jurassique moyen et que nons corrélons avec le Oysch de Lamayuru ; - l'unité complexe de Nimaling représente la terminaison occidentale du crist allin de Rupshn (Tso MOI'ari) ; il comprend un socle gneissique, des roches vert.es et une couverture de schistes quartzitiques, quartzites el dolomies. Cet ensemble est intrudé pal' un granite porphyrique et il est surmonté, en contact tectonique, par une épaisse série métamorphique de calcschistes, shales et grès de faciès schistes lustrés, d'âge inconnu; dans ce tte série, on note au moins trois phases de fortes déformaljons superposées (linéations replissées) ; le long de la vallée de la Markha, le style st.ructural évoque, avec des plis isoclinaux de 2" phase à axes verticaux, une « zone de racine" et pourrait également témoigner de mouvements horizontaux importants; - l'édifice des napp es du Zanskar a été subdivisé en trois unités; il surmonte vers le Nord-Est les schistes lustrés du groupe de Langtang et vient buter vers le Sud-Ouest, le long d'un aceident chevauchant, contre la nappe de Zangla (Haut Himalaya). Les séries sédimentaires (Trias - Crétacé supérieur) sont d'affinité téthysienne. De nouvelles datations sont apportées et nous mettons en évidence, directement à l'Est du fleuve Zanskar, la présence de Crétacé sous faciès calcaires multicolores à microfaune planctique ; transgressif sur les grès de Giumal, ce faciès calcaire déhut.e déjà dans l'Alhien supérieur, c'est-à-dire nellement plus tôt que dans les régions plus orientales de l 'Himalaya; - les nappes du Haut Himalaya comprennent du Nord-Est vers le Sud-Ouest la nappe de Zangla qui chevauche par l'intermédiaire d'une semelle de « Panjal Traps » des témoins écaillés de Paléozoïque inférieur, puis la nappe de cristallin. La nappe de Zangla correspond à l'unité qui, à l 'Ouest du Zanskar supporte la klippe ophiolitique de Spongtang.

Intravascular ultrasound underestimates vessel dimensions.

The information gathered with intravascular ultrasound (IVUS) are of great value in endovascular techniques. The aim of this study was to evaluate the reliability of IVUS when measuring vessel dimensions by comparison with an established reference method. The left carotid artery was exposed in 4 pigs (45-55 kg) and two piezoelectric crystals were sutured on the adventitia in the same cross-sectional plane. The distance between them was measured either by IVUS and by sonomicrometers. The mean distance between the two crystals calculated by the sonomicrometer was 4.7+/-0.4 mm (mean systolic distance was 4.9+/-0.2 mm, mean diastolic distance was 4.6+/-0.1 mm). The mean distance between the two targets calculated by IVUS was 4. 5+/-0.2 mm (mean systolic distance was 4.6+/-0.2 mm and mean diastolic 4.4+/-0.2 mm). Regression analysis of the two series of data shows a R(2)=0.9984. IVUS measurements are an average 5% smaller than sonomicrometer measurements (3.6% up to 8.3%) and the difference is statistically significant ( p <0.05). The underestimation of IVUS measurements will affect the accuracy, and probably the long-term outcome, of endovascular procedures.

Maximizing the Use of Roadway Weather Information Systems: Final Report, TR-404, 1998

This project was proposed as Phase I of a 2-phase program to evaluate the present use of weather information by Iowa Department of Transportation (IaDOT) personnel, recommend revised procedures, and then implement the resulting recommendations. Midway through Phase I (evaluation phase) the FORETELL project was funded. This project is a multi-state venture that engages the National Weather Service (NWS) and the Forecast Systems Laboratory of the National Oceanic and Atmospheric Administration and proposes to supplant the current weather information-generation and distribution system with an advanced system based on state-of-the-art technologies. The focus of the present project was therefore refined to consider use of weather data by IaDOT personnel, and the training programs needed to more effectively use these data. Results of the survey revealed that two major areas - training of personnel on use of data from whatever source and more precise information of frost formation - are not addressed in the FORETELL project. These aspects have been the focus of the present project.

Sport and alcohol: An emergency department study in Switzerland.

The aim of the present study was to empirically determine whether: (a) sport injuries were associated with alcohol consumption before the injury (acute intake) and with usual consumption patterns (chronic high intake and heavy intake on single occasions); (b) the risk of sport injuries related to alcohol consumption differs from that of other injuries; and (c) there are differences between the sexes and between types of sport. Data from 8694 patients attending the emergency department of Lausanne University Hospital between 1 January 2003 and 30 June 2004 were analysed. Of those patients, 4861 came to the hospital because of an injury and 885 patients were identified as having a sport injury (18.2%). Logistic regression was used to estimate the odds ratios of injury relating to alcohol consumption. With increasingly acute intake, the risk of sport and other injuries increased (sports injury and alcohol use in the 6 h before injury compared with no use: odds ratio=4.29, 7.46, and 14.75 for low, medium, and high alcohol use among women, and 2.81, 3.39, and 1.64 for low, medium, and high alcohol use among men). Alcohol consumption was associated with an increasingly higher risk of sport injuries compared with other injuries among women (consumption 6 h before injury: odds ratio=1.12, 1.23, and 1.56 for low, medium, and high alcohol use), but not men (odds ratio=1.17, 0.83, and 0.23 for low, medium, and high alcohol use). Regarding usual consumption patterns, those men and women injured while exercising were more often at-risk drinkers (men: 44%; women: 25%) compared with those injured during other activities (men: 37%; women: 13%). The results indicate that both men and women, but particularly women, should not practise sports after alcohol ingestion. The study raises questions as to whether sport should be generally promoted as an alternative to alcohol consumption in prevention programmes. Whereas some sports seem to be protective (e.g. endurance and fitness sport) for risky alcohol use, the majority are not. It is important to note, however, that we do not dismiss the beneficial effects of practising for an individual's health. The other positive aspect of practising, namely interacting socially with others, may come at the price of an increased alcohol use, particularly in a wet culture like Switzerland where any social contact is often accompanied by alcohol consumption.

Furosemide stimulation of parathormone in humans: role of the calcium-sensing receptor and the renin-angiotensin system

Les interactions entre les systèmes de régulation du sodium et du calcium sont encore mal comprises et leur importance clinique mérite d'être étudiée plus en détail. Les études chez l'animal ont montré qu'il existe des relations entre le taux plasmatique d'hormone parathyroïdienne (PTH) et l'aldostérone ou l'activité de la rénine. Par ailleurs, il a été démontré chez l'animal et chez l'homme que le taux sanguin de PTH augmente rapidement après une injection de furosémide, un diurétique de l'anse ce qui fait penser qu'il existe un lien entre l'effet du furosémide sur le rein et la sécrétion de PTH. Toutefois, à ce jour, le(s) mécanisme(s) impliqués dans ce lien reste(nt) encore inconnu(s). Des résultats plus récents suggèrent que l'effet du furosemide est amoindri par l'administration préalable d'un calcimimétique agissant au niveau du récepteur sensible au calcium (calcium sensing receptor). Pour explorer chez l'homme, les mécanismes possibles du lien entre PTH et effet du furosemide sur le rein, nous avons planifié une étude randomisée croisée contre placebo réalisée chez 18 volontaires sains masculins. Le but principal était d'investiguer le rôle du système rénine-angiotensine et des calcium sensing receptors. L'étude s'est donc réalisée en 2 phases pour chaque sujet. Les participants ont ainsi reçu soit du cinacalcet (60mg) soit un placebo dans une première phase et le placebo ou du cinacalcet dans la 2° phase. Dans chaque phase d'évaluation, une injection de 20 mg de furosemide a été administrée par voie intraveineuse à l'équilibre soit 3 heures après la prise du placebo ou du cinacalcet. Des échantillons de plasma ont été prélevés toutes les 15 minutes pendant 1 heure puis toutes les heures pour le dosage de PTH intacte, calcium, sodium, potassium, magnésium, phosphate, activité de la rénine plasmatique et aldostérone jusqu'à 6h après l'injection de furosémide. L'excrétion urinaire de ces mêmes électrolytes a été mesurée aux mêmes intervalles.

CFD Modelling of Direct Contact Condensation in Suppression Pools by Applying Condensation Models of Separated Flow

The condensation rate has to be high in the safety pressure suppression pool systems of Boiling Water Reactors (BWR) in order to fulfill their safety function. The phenomena due to such a high direct contact condensation (DCC) rate turn out to be very challenging to be analysed either with experiments or numerical simulations. In this thesis, the suppression pool experiments carried out in the POOLEX facility of Lappeenranta University of Technology were simulated. Two different condensation modes were modelled by using the 2-phase CFD codes NEPTUNE CFD and TransAT. The DCC models applied were the typical ones to be used for separated flows in channels, and their applicability to the rapidly condensing flow in the condensation pool context had not been tested earlier. A low Reynolds number case was the first to be simulated. The POOLEX experiment STB-31 was operated near the conditions between the ’quasi-steady oscillatory interface condensation’ mode and the ’condensation within the blowdown pipe’ mode. The condensation models of Lakehal et al. and Coste & Lavi´eville predicted the condensation rate quite accurately, while the other tested ones overestimated it. It was possible to get the direct phase change solution to settle near to the measured values, but a very high resolution of calculation grid was needed. Secondly, a high Reynolds number case corresponding to the ’chugging’ mode was simulated. The POOLEX experiment STB-28 was chosen, because various standard and highspeed video samples of bubbles were recorded during it. In order to extract numerical information from the video material, a pattern recognition procedure was programmed. The bubble size distributions and the frequencies of chugging were calculated with this procedure. With the statistical data of the bubble sizes and temporal data of the bubble/jet appearance, it was possible to compare the condensation rates between the experiment and the CFD simulations. In the chugging simulations, a spherically curvilinear calculation grid at the blowdown pipe exit improved the convergence and decreased the required cell count. The compressible flow solver with complete steam-tables was beneficial for the numerical success of the simulations. The Hughes-Duffey model and, to some extent, the Coste & Lavi´eville model produced realistic chugging behavior. The initial level of the steam/water interface was an important factor to determine the initiation of the chugging. If the interface was initialized with a water level high enough inside the blowdown pipe, the vigorous penetration of a water plug into the pool created a turbulent wake which invoked the chugging that was self-sustaining. A 3D simulation with a suitable DCC model produced qualitatively very realistic shapes of the chugging bubbles and jets. The comparative FFT analysis of the bubble size data and the pool bottom pressure data gave useful information to distinguish the eigenmodes of chugging, bubbling, and pool structure oscillations.

Pulssitettu laserablaatio mikrofluidisten kanavistojen sarjatuotantomenetelmänä

Puolijohteiden yleistyttyä vuodesta 1948 alkaen, ovat elektroniset laitteet pienentyneet jatkuvasti tehojen kuitenkin kasvaessa. Kasvaneet tehotiheydet kuitenkin vaikeuttavat laitesuunnittelua, sillä puoljohdekomponenttien suorituskyvylle ja eliniälle on oleellista lämpötilojen ja lämpötilavaihteluiden minimointi. Perinteisen ilmajäähdytyksen lähestyessä rajojaan niin kokonaistehon kuin järkevän energiatehokkuudenkin suhteen, on parhaaksi seuraavaksi teknologiaksi ennustettu kaksifaasijäähdytystä, jonka suorituskyky ja energiatehokkuus ovat vaaditulla tasolla. Kaksifaasijäähdytyksen optimaaliselle toiminnalle tärkeää on hyvin suunniteltu ja tarkasti valmistettu lämmönsiirtopinta, jota kutsutaan mikrokanavistoksi. Pulssitettu laserkaiverrus on edistynyt valmistustekniikka, jonka tarkkuus ja luotettavuus sopisivat mikrokanavistojen valmistamiseen. Laserkaiverruksella saavutettavat lopputulokset vaihtelevat kuitenkin materiaalista riippuen ja kupari – jota käytetään yleisesti lämmönjohteena – on eräs huonoimmin lasertyöstöön reagoivista materiaaleista ja siksi on oleellista selvittää laser-kaiverruksen toimivuutta kuparisten mikrokanavistojen valmistuksessa. Pulssitetun laser-kaiverruksen eri variaatioista nanosekunti-luokan pulssinpituuksilla toimivat laitteet ovat jatkuvan tuotannon kannalta paras vaihtoehto niiden hyvän tuottavuuden, saatavuuden sekä kohtuullisen alkuinvestoinnin vuoksi. Käytännön kaiverruskokeiden perusteella selvisi, että menetelmä on laatunsa ja tarkkuutensa puolesta sopiva varsinaiseen tuotantoon. Kaiverruksen tehokkuus kuparia työstettäessä on kuitenkin ennakoituakin heikompi ja niin valmistus- kuin suunnitelu-prosessikin vaativat vielä jatkotutkimusta ja -kehitystä.

Organizational commitment and perceived relatedness as correlates of the intention to continue officiating in track and field

The objectives of the present study were to explore three components of organizational commitment (affective [AC], normative [NC] and continuance [CC] commitment; Allen & Meyer, 1991), perceived relatedness (Oeci & Ryan, 1985; 2002), and behavioural intention (Ajzen, 2002) within the context of volunteer track and field officiating. The objectives were examined in a 2-phase study. Ouring phase 1, experts (N = 10) with domain familiarity assessed the item content relevance and representation of modified organizational commitment (OC; Meyer, Allen & Smith, 1993) and perceived relatedness (La Guardia, Oeci, Ryan & Couchman, 2000) items. Fourteen of 26 (p < .05) items were relevant (Aiken's coefficient V) and NC (M = 3.88, SO = .64), CC (M = 3.63, SD = .52), and relatedness (M = 4.00, SD = .93) items had mean item content-representation ratings of either "good" or "very good" while AC (M = 2.50, SD = 0.58) was rated "fair". Participants in phase 2 (N = 80) responded to items measuring demographic variables, perceptions of OC to Athletics Canada, perceived relatedness to other track and field officials, and a measure of intention (yiu, Au & Tang, 2001) to continue officiating. Internal consistency reliability estimates (Cronbach's (1951) coefficient alpha) were as follows: (a) AC = .78, (b) CC = .85, (c) NC = .80 (d) perceived relatedness = .70 and, (e) intention = .92 in the present sample. Results suggest that the track and field officials felt only minimally committed to Athletics Canada (AC M = 3.90, SD = 1.23; NC M = 2.47, SD = 1.25; CC M = 3.32; SD = 1.34) and that their relationships with other track and field officials were strongly endorsed (M = 5.86, SD = 0.74). Bivariate correlations (Pearson r) indicated that perceived relatedness to other track and field officials demonstrated the strongest relationship with intention to continue officiating (r = .346, p < .05), while dimensions of OC were not significantly related to intention (all p's > .05). Together perceived relatedness (j3 = .339, p = .004), affective commitment (j3 = -.1 53, p = .308), normative commitment (j3 = -.024, p = .864) and continuance commitment (j3 = .186, P = .287) contribute to the prediction of intention to continued officiating (K = .139). These relationships remained unaffected by the inclusion of demographic (j3age = -.02; P years with Athletics Canada = -.13; bothp's > .05) or alternative commitment (j3sport = -.19; P role = .15; Pathletes = .20; all p' s > .05) considerations. Three open-ended questions elicited qualitative responses regarding participants' reasons for officiating. Responses reflecting initial reasons for officiating formed these higher order themes: convenience, helping reasons, extension of role, and intrinsic reasons. Responses reflecting reasons for continuing to officiate formed these higher order themes: track and field, to help, and personal benefits. Responses reflecting changes that would influence continued involvement were: political, organizational/structural, and personal. These results corroborate the findings of previous investigations which state that the reasons underpinning volunteer motivations change over time (Cuskelly et al., 2002). Overall, the results of this study suggest that track and field officials feel minimal commitment to the organization of Athletics Canada but a stronger bond with their fellow officials. Moreover, the degree to which track and field officials feel meaningfully connected to one another appears to exert a positive influence on their intentions to continue officiating. As such, it is suggested that in order to promote continued involvement, Athletics Canada increases its focus on fostering environments promoting positive interactions among officials.

Structural effects of neutral lipids on the divalent cation-induced interactions of phosphatidylserine - containing bilayers

As Ca2+ and phosphatidylserine (PS) are known to induce the adhesion of bilayer vesicles and form collapsed multibilayer structures in vitro, it was the aim of this study to examine how that interaction and the resultant structures might be modified by neutral lipid species. X-ray diffraction data from multilamellar systems suggest that phosphatidylcholine (PC) and diacylglycerol (DG) might be in the collapsed phase up to a concentration of -30 mole % and that above this concentration these neutral lipids may modify Ca2+-induced bilayer interactions. Using large unilamellar vesicles and long incubations in excess Ca2+ to ensure equilibration, similar preliminary results were again obtained with PC, and also with phosphatidylethanolamine (PE). A combination of X-ray diffraction, thin-layer chromatography, density gradient centrifugation and freeze-fracture electron microscopy, used in conjunction with an osmotic stress technique, showed that (i) -30 mole % PC can be accomodated in the Ca(DOPS)2 phase; and (ii) higher PC levels modify Ca2+-induced bilayer interactions resulting in single lamellar phases of larger dimension and reduced tendency for REV collapse. Importantly, the data suggest that PC is dehydrated during the rapid collapse process leading. to Ca(DOPS)2 formation and exists with this dehydrated phase. Similar results were obtained using PS isolated from bovine brain. Preliminary studies using two different phosphatidylethanolamine (PE) species indicated accomodation by Ca(DOPS)2 of -25-30 mole 0/0 PE and bulk phase separation, of species favouring a non-bilayer phase, at higher levels. Significantly, all PS/PE vesicles appear to undergo a complete Ca2+-induced collapse, even with contents of up to 90 mole % PE. These data suggest that PE may have an important role in fusion mechanisms in vivo. In sum the data lend both structural and stoichiometric evidence for th~ existence of laterally segregated neutral lipid molecules within the same bilayers as PS domains exposed to Ca2+.

Hydrogen adsorption in a copper ZSM5 zeolite: an inelastic neutron scattering study

Currently microporous oxidic materials including zeolites are attracting interest as potential hydrogen storage materials. Understanding how molecular hydrogen interacts with these materials is important in the rational development of hydrogen storage materials and is also challenging theoretically. In this paper, we present an incoherent inelastic neutron scattering (INS) study of the adsorption of molecular hydrogen and hydrogen deuteride (HD) in a copper substituted ZSM5 zeolite varying the hydrogen dosage and temperature. We have demonstrated how inelastic neutron scattering can help us understand the interaction of H-2 molecules with a binding site in a particular microporous material, Cu ZSM5, and by implication of other similar materials. The H-2 molecule is bound as a single species lying parallel with the surface. As H-2 dosing increases, lateral interactions between the adsorbed H-2 molecules become apparent. With rising temperature of measurement up to 70 K (the limit of our experiments), H-2 molecules remain bound to the surface equivalent to a liquid or solid H-2 phase. The implication is that hydrogen is bound rather strongly in Cu ZSM5. Using the simple model for the anisotropic interaction to calculate the energy levels splitting, we found that the measured rotational constant of the hydrogen molecule is reduced as a consequence of adsorption by the Cu ZSM5. From the decrease in total signal intensity with increasing temperature, we were able to observe the conversion of para-hydrogen into ortho-hydrogen at paramagnetic centres and so determine the fraction of paramagnetic sites occupied by hydrogen molecules, ca. 60%. (c) 2006 Elsevier B.V. All rights reserved.

A geometric mass-preserving redistancing scheme for the level set function

In this paper we describe and evaluate a geometric mass-preserving redistancing procedure for the level set function on general structured grids. The proposed algorithm is adapted from a recent finite element-based method and preserves the mass by means of a localized mass correction. A salient feature of the scheme is the absence of adjustable parameters. The algorithm is tested in two and three spatial dimensions and compared with the widely used partial differential equation (PDE)-based redistancing method using structured Cartesian grids. Through the use of quantitative error measures of interest in level set methods, we show that the overall performance of the proposed geometric procedure is better than PDE-based reinitialization schemes, since it is more robust with comparable accuracy. We also show that the algorithm is well-suited for the highly stretched curvilinear grids used in CFD simulations. Copyright (C) 2010 John Wiley & Sons, Ltd.

An improved finite element space for discontinuous pressures

We consider incompressible Stokes flow with an internal interface at which the pressure is discontinuous, as happens for example in problems involving surface tension. We assume that the mesh does not follow the interface, which makes classical interpolation spaces to yield suboptimal convergence rates (typically, the interpolation error in the L(2)(Omega)-norm is of order h(1/2)). We propose a modification of the P(1)-conforming space that accommodates discontinuities at the interface without introducing additional degrees of freedom or modifying the sparsity pattern of the linear system. The unknowns are the pressure values at the vertices of the mesh and the basis functions are computed locally at each element, so that the implementation of the proposed space into existing codes is straightforward. With this modification, numerical tests show that the interpolation order improves to O(h(3/2)). The new pressure space is implemented for the stable P(1)(+)/P(1) mini-element discretization, and for the stabilized equal-order P(1)/P(1) discretization. Assessment is carried out for Poiseuille flow with a forcing surface and for a static bubble. In all cases the proposed pressure space leads to improved convergence orders and to more accurate results than the standard P(1) space. In addition, two Navier-Stokes simulations with moving interfaces (Rayleigh-Taylor instability and merging bubbles) are reported to show that the proposed space is robust enough to carry out realistic simulations. (c) 2009 Elsevier B.V. All rights reserved.