Simulation of interface dynamics across pore discontinuities

We study the dynamics of a water-oil meniscus moving from a smaller to a larger pore. The process is characterised by an abrupt change in the configuration, yielding a sudden energy release. A theoretic study for static conditions provides analytical solutions of the surface energy content of the system. Although the configuration after the sudden energy release is energetically more convenient, an energy barrier must be overcome before the process can happen spontaneously. The energy barrier depends on the system geometry and on the flow parameters. The analytical results are compared to numerical simulations that solve the full Navier-Stokes equation in the pore space and employ the Volume Of Fluid (VOF) method to track the evolution of the interface. First, the numerical simulations of a quasi-static process are validated by comparison with the analytical solutions for a static meniscus, then numerical simulations with varying injection velocity are used to investigate dynamic effects on the configuration change. During the sudden energy jump the system exhibits an oscillatory behaviour. Extension to more complex geometries might elucidate the mechanisms leading to a dynamic capillary pressure and to bifurcations in final distributions of fluid phases in porous

The use of heterogeneous chemistry for the characterization of functional groups at the gas/particle interface of soot and TiO(2) nanoparticles

Six gases (N((CH3)3), NH2OH, CF3COOH, HCl, NO2, O3) were selected to probe the surface of seven combustion aerosol (amorphous carbon, flame soot) and three types of TiO2 nanoparticles using heterogeneous, that is gas-surface reactions. The gas uptake to saturation of the probes was measured under molecular flow conditions in a Knudsen flow reactor and expressed as a density of surface functional groups on a particular aerosol, namely acidic (carboxylic) and basic (conjugated oxides such as pyrones, N-heterocycles) sites, carbonyl (R1-C(O)-R2) and oxidizable (olefinic, -OH) groups. The limit of detection was generally well below 1% of a formal monolayer of adsorbed probe gas. With few exceptions most investigated aerosol samples interacted with all probe gases which points to the coexistence of different functional groups on the same aerosol surface such as acidic and basic groups. Generally, the carbonaceous particles displayed significant differences in surface group density: Printex 60 amorphous carbon had the lowest density of surface functional groups throughout, whereas Diesel soot recovered from a Diesel particulate filter had the largest. The presence of basic oxides on carbonaceous aerosol particles was inferred from the ratio of uptakes of CF3COOH and HCl owing to the larger stability of the acetate compared to the chloride counterion in the resulting pyrylium salt. Both soots generated from a rich and a lean hexane diffusion flame had a large density of oxidizable groups similar to amorphous carbon FS 101. TiO2 15 had the lowest density of functional groups among the three studied TiO2 nanoparticles for all probe gases despite the smallest size of its primary particles. The used technique enabled the measurement of the uptake probability of the probe gases on the various supported aerosol samples. The initial uptake probability, g0, of the probe gas onto the supported nanoparticles differed significantly among the various investigated aerosol samples but was roughly correlated with the density of surface groups, as expected. [Authors]

Interface de recuperación para catálogos en línea con salidas ordenadas por probable relevancia

Se presenta el desarrollo de una interface de recuperación de información para catálogos en línea de acceso público (plataforma CDS/ISIS), basada en el concepto de similaridad para generar los resultados de una búsqueda ordenados por posible relevancia. Se expresan los fundamentos teóricos involucrados, para luego detallar la forma en que se efectuó su aplicación tecnológica, explícita a nivel de programación. Para finalizar se esbozan los problemas de implementación según el entorno.

Modeling storm events to investigate the influence of the stream¿catchment interface zone on stream biogeochemistry

We formulate a new mixing model to explore hydrological and chemical conditions under which the interface between the stream and catchment interface (SCI) influences the release of reactive solutes into stream water during storms. Physically, the SCI corresponds to the hyporheic/riparian sediments. In the new model this interface is coupled through a bidirectional water exchange to the conventional two components mixing model. Simulations show that the influence of the SCI on stream solute dynamics during storms is detectable when the runoff event is dominated by the infiltrated groundwater component that flows through the SCI before entering the stream and when the flux of solutes released from SCI sediments is similar to, or higher than, the solute flux carried by the groundwater. Dissolved organic carbon (DOC) and nitrate data from two small Mediterranean streams obtained during storms are compared to results from simulations using the new model to discern the circumstances under which the SCI is likely to control the dynamics of reactive solutes in streams. The simulations and the comparisons with empirical data suggest that the new mixing model may be especially appropriate for streams in which the periodic, or persistent, abrupt changes in the level of riparian groundwater exert hydrologic control on flux of biologically reactive fluxes between the riparian/hyporheic compartment and the stream water.

Secretory IgA and intestinal epithelial cells at the interface between homeostasis regulation and protection against infection

RESUME DESTINE A UN LARGE PUBLICL'intestin est le siège d'intenses agressions de la part de l'ensemble des aliments ingérés, de bactéries agressives dites pathogènes mais également de bactéries dites commensales peuplant naturellement les surfaces intestinales muqueuses. Pour faire face, notre organisme arbore de nombreux niveaux de protections tant physiques, chimiques, mécaniques mais aussi immunitaires. La présence d'un type particulier de cellules, les cellules épithéliales (IEC) assurant une protection physique, ainsi que la production d'anticorps spécialisés par le système immunitaire appelés immunoglobulines sécrétoires A (SlgA) servent conjointement de première ligne de défense contre ces agressions externes. Néanmoins, comment le dialogue s'articule entre ces deux partenaires reste incomplet.Nous avons donc décidé de mimer ces interactions en modélisant les surfaces muqueuses par une monocouche de cellules différenciées en laboratoire. Des souches bactériennes isolées de l'intestin humain seules ou associées à des SlgA non-spécifiques ont été mises au contact de ce modèle cellulaire nous permettant de conclure quant à la présence effective d'une modulation du dialogue bactérie/lEC impliquant une activation de la réponse cellulaire vers un état de tolérance mutuelle. De façon surprenante, nous avons par ailleurs mis en évidence un type d'interaction nouveau entre ces anticorps et ces bactéries. Une étude biochimique nous a permis de détailler un nouveau rôle des SlgA médié par les sucres présents à leur surface dans le maintien d'une relation pacifique avec les commensaux perpétuellement présents, relations qualifiées d'homésostase intestinale.Le rôle protecteur des SlgA a par ailleurs été abordé pour avoir une meilleure appréhension de leur impact au niveau cellulaire lors d'infection par Shigella flexneri, bactérie causant la Shigellose, diarrhée sanglante responsable de la mort de plus d'un million de personnes chaque année. Basée sur le même modèle cellulaire, cette étude nous a permis de démontrer une nouvelle entrée de ce pathogène directement via les IEC. La présence d'anticorps spécifiques à la surface des bactéries restreint leur champs d'action contre les cibles intracellulaires identifiées que sont les filaments soutenant le squelette de la cellule, les fibres d'actine ainsi que les jonctions serrées, réseaux de protéines clés des interactions entre cellules. Cette ouverture au niveau cellulaire apporte un nouvel élan quant à la compréhension du rôle protecteur des SlgA lors d'attaques de l'intestin, protection semblant dépendante d'une agrégation des bactéries.Pour finir, nous avons mis en évidence la détection directe par les cellules de la présence d'anticorps libres dans l'intestin ajoutant une nouvelle réplique dans le dialogue complexe entre ces deux piliers de l'équilibre intestinal que sont les SlgA et les cellules épithéliales.RESUMELa muqueuse intestinale est dotée d'un réseau complexe de protections physico-chimiques, mécaniques ou immunologiques. Associées à un système immunitaire omniprésent, les cellules épithéliales intestinales {IEC) bordant la lumière intestinale ont la double tâche de protéger l'intérieur de l'organisme stérile contre l'invasion et la dissémination d'agents pathogènes, et de maintenir une relation pacifique avec la flore intestinale, rôles également joués par les immunoglobulines sécrétoires A (SlgA), anticorps les plus abondamment présents à la surface des muqueuses. Tant les IEC que les SlgA sont ainsi décrites comme convergeant vers le même objectif ; néanmoins, les rouages de leurs interactions restent largement inconnus.Pour répondre à cette question, des monocouches épithéliales reconstituées in vitro ont été incubées avec des souches commensales telles que des Lactobacillus ou des Bifodobacteria, seules ou complexées avec des SlgA non-spécifiques, nous permettant de décrypter l'influence des SlgA sur la détection des bactéries par les IEC, favorisant l'adhésion bactérienne et la cohésion cellulaire, augmentant l'activation de la voie NF-κΒ ainsi que la sécrétion de la cytokine thymic stromal lymphopoietin contrairement à celle de médiateurs pro-inflammatoires qui reste inchangée. Par ailleurs, une interaction Fab-indépendante est suggérée dans l'interaction SlgA/bactéries. Comme une interaction de faible affinité a été décrite comme prenant naturellement place au niveau de l'intestin, nous avons donc disséqué les mécanismes sous- jacents en utilisant un large spectre de bactérie associés à des protéines soit recombinantes soit isolées à partir de colostrum, mettant en évidence un rôle crucial des N-glycanes présents sur la pièce sécrétoire et soulignant une nouvelle propriété des SlgA dans l'homéostase intestinale.Intrinsèquement liés aux caractéristiques des SlgA, nous nous sommes également focalisés sur leur rôle protecteur lors d'infection par l'enteropathogène Shigella flexneri reproduites in vitro sur des monocouches polarisées. Nous avons tout d'abord démontré une nouvelle porte d'entrée pour ce pathogène directement via les IEC. L'agrégation des bactéries par les SlgA confère aux cellules une meilleure résistance à l'infection, retardant croissance bactérienne et entrée cellulaire, affectant par ailleurs leur capacité à cibler le cytosquelette et les jonctions serrées. La formation de tels cargos détectés de façon biaisée par les IEC apparaît comme une explication plausible au maintien de la cohésion cellulaire médiée par les SlgA.Enfin, le retrotransport des SlgA à travers les IEC a été abordé soulignant une participation active de ces cellules dans la détection de l'environnement extérieur, les impliquant possiblement dans l'activation d'un état muqueux stable.Conjointement, ces résultats indiquent que les SlgA représentent l'un des éléments-clés à la surface de la muqueuse et soulignent la complexité du dialogue établi avec l'épithélium en vue du maintien d'un fragile équilibre intestinal.ABSTRACTThe intestinal mucosa is endowed with a complex protective network melting physiochemical, mechanical and immunological features. Beyond the ubiquitous intestinal immune system, intestinal epithelial cells (IEC) lying the mucosal surfaces have also the dual task to protect the sterile core against invasion and dissemination of pathogens, and maintain a peaceful relationship with commensal microorganisms, aims also achieved by the presence of high amounts of secretory immunoglobulins A (SlgA), the most abundant immunoglobulin present at mucosal surfaces. Both IEC and SlgA are thus described to converge toward the same goal but how their interplay is orchestrated is largely unknown.To address this question, in vitro reconstituted IEC monolayers were first apically incubated with commensal bacteria such as Lactobacillus or Bifodobacteria strains either alone or in complexes with non-specific SlgA. Favoring the bacterial adhesion and cellular cohesion, SlgA impacts on the cellular sensing of bacteria, increasing NF-κΒ activation, and leading to cytokine releases restricted to the thymic stromal lymphopoietin and unaffected expression of pro-inflammatory mediators. Of main interest, bacterial recognition by SlgA suggested a Fab-independent interaction. As this low affinity, called natural coating occurs in the intestine, we further dissected the underlying mechanisms using a larger spectrum of commensal strains associated with recombinant as well as colostrum-derived proteins and pinpointed a crucial role of N-glycans of the secretory component, emphasizing an underestimated role of carbohydrates and another properties of SlgA in mediating intestinal homeostasis.As mucosal protection is also anchored in SlgA and IEC features, we focused on the cellular role of SlgA. Using IEC apical infection by the enteropathogen Shigella flexneri, we have first demonstrated a new gate of entry for this pathogen directly via IEC. Specific SlgA bacterial aggregation conferred to the cells a better resistance to infection, delaying bacterial growth and cellular entry, affecting their ability to damage both the cytoskeleton and the tight junctions. Formation of such big cargos differentially detected by IEC appears as a plausible explanation sustaining at the cellular level the antibody-mediated mucosal protection.Finally, SlgA retrotransport across IEC has been tackled stressing an active IEC sensing of the external environment possibly involved in the steady-state mucosal activation.All together, these results indicate that SlgA represents one of the pivotal elements at mucosal surfaces highlighting the complexity of the dialogue established with the epithelium sustaining the fragile intestinal balance.The Intestinal mucosa is endowed with a complex protective network melting physiochemical, mechanical and immunological features. Beyond the ubiquitous intestinal immune system, intestinal epithelial cells (IEC) lying the mucosal surfaces have also the dual task to protect the sterile core against invasion and dissemination of pathogens, and maintain a peaceful relationship with commensal microorganisms, aims also achieved by the presence of high amounts of secretory immunoglobulins A (SlgA), the most abundant immunoglobulin present at mucosal surfaces. Both IEC and SlgA are thus described to converge toward the same goal but how their interplay is orchestrated is largely unknown.To address this question, in vitro reconstituted IEC monolayers were first apically incubated with commensal bacteria such as Lactobacillus or Bifodobacteria strains either alone or in complexes with non-specific SlgA. Favoring the bacterial adhesion and cellular cohesion, SlgA impacts on the cellular sensing of bacteria, increasing NF-κΒ activation, and leading to cytokine releases restricted to the thymic stromal lymphopoietin and unaffected expression of pro-inflammatory mediators. Of main interest, bacterial recognition by SlgA suggested a Fab-independent interaction. As this low affinity, called natural coating occurs in the intestine, we further dissected the underlying mechanisms using a larger spectrum of commensal strains associated with recombinant as well as colostrum-derived proteins and pinpointed a crucial role of N-glycans of the secretory component, emphasizing an underestimated role of carbohydrates and another properties of SlgA in mediating intestinal homeostasis.As mucosal protection is also anchored in SlgA and IEC features, we focused on the cellular role of SlgA. Using IEC apical infection by the enteropathogen Shigella flexneri, we have first demonstrated a new gate of entry for this pathogen directly via IEC. Specific SlgA bacterial aggregation conferred to the cells a better resistance to infection, delaying bacterial growth and cellular entry, affecting their ability to damage both the cytoskeleton and the tight junctions. Formation of such big cargos differentially detected by IEC appears as a plausible explanation sustaining at the cellular level the antibody-mediated mucosal protection.Finally, SlgA retrotransport across IEC has been tackled stressing an active IEC sensing of the external environment possibly involved in the steady-state mucosal activation.All together, these results indicate that SlgA represents one of the pivotal elements at mucosal surfaces highlighting the complexity of the dialogue established with the epithelium sustaining the fragile intestinal balance.

Totally implantable robot to treat chronic atrial fibrillation

Chronic atrial fibrillation affects millions of people worldwide. Its surgical treatment often fails to restore the transport function of the atrium. This study first introduces the concept of an atrial assist device (AAD) to restore the pump function of the atrium. The AAD is developed to be totally implantable in the human body with a transcutaneous energy transfer system to recharge the implanted battery. The ADD consists of a motorless pump based on artificial muscle technology, positioned on the external surface of the atrium to compress it and restore its muscular activity. A bench model reproduces the function of a fibrillating atrium to assess the circulatory support that this pump can provide. Atripump (Nanopowers SA, Switzerland) is a dome-shaped silicone-coated nitinol actuator 5 mm high, sutured on the external surface of the atrium. A pacemaker-like control unit drives the actuator that compresses the atrium, providing the mechanical support to the blood circulation. Electrical characteristics: the system is composed of one actuator that needs a minimal tension of 15 V and has a maximum current of 1.5 A with a 50% duty cycle. The implantable rechargeable battery is made of a cell having the following specifications: nominal tension of a cell: 4.1 V, tension after 90% of discharge: 3.5 V, nominal capacity of a cell: 163 mA h. The bench model consists of an open circuit made of latex bladder 60 mm in diameter filled with water. The bladder is connected to a vertically positioned tube that is filled to different levels, reproducing changes in cardiac preload. The Atripump is placed on the outer surface of the bladder. Pressure, volume and temperature changes were recorded. The contraction rate was 1 Hz with a power supply of 12 V, 400 mA for 200 ms. Preload ranged from 15 to 21 cm H(2)O. Maximal silicone membrane temperature was 55 degrees C and maximal temperature of the liquid environment was 35 degrees C. The pump produced a maximal work of 16 x 10(-3) J. Maximal volume pumped was 492 ml min(-1). This artificial muscle pump is compact, follows the Starling law and reproduces the hemodynamic performances of a normal atrium. It could represent a new tool to restore the atrial kick in persistent atrial fibrillation.

Mobile Robot Local Predictive Control under Perception Constraints

This research extends a previously developed work concerning about the use of local model predictive control in mobile robots. Hence, experimental results are presented as a way to improve the methodology by considering aspects as trajectory accuracy and time performance. In this sense, the cost function and the prediction horizon are important aspects to be considered. The platformused is a differential driven robot with a free rotating wheel. The aim of the present work is to test the control method by measuring trajectory tracking accuracy and time performance. Moreover, strategies for the integration with perception system and path planning are also introduced. In this sense, monocular image data provide an occupancy grid where safety trajectories are computed by using goal attraction potential fields

Mobile robot experimental modeling and control strategies using sensor fusion

This research work deals with the problem of modeling and design of low level speed controller for the mobile robot PRIM. The main objective is to develop an effective educational, and research tool. On one hand, the interests in using the open mobile platform PRIM consist in integrating several highly related subjects to the automatic control theory in an educational context, by embracing the subjects of communications, signal processing, sensor fusion and hardware design, amongst others. On the other hand, the idea is to implement useful navigation strategies such that the robot can be served as a mobile multimedia information point. It is in this context, when navigation strategies are oriented to goal achievement, that a local model predictive control is attained. Hence, such studies are presented as a very interesting control strategy in order to develop the future capabilities of the system. In this context the research developed includes the visual information as a meaningful source that allows detecting the obstacle position coordinates as well as planning the free obstacle trajectory that should be reached by the robot

Formation of disclinations line near a free nematic interface

We have studied the nucleation and the physical properties of a -1/2 wedge disclination line near the free surface of a confined nematic liquid crystal. The position of the disclination line has been related to the material parameters (elastic constants, anchoring energy, and favored anchoring angle of the molecules at the free surface). The use of a planar model for the structure of the director field (whose predictions have been contrasted to those of a fully three-dimensional model) has allowed us to relate the experimentally observed position of the disclination line to the relevant properties of the liquid crystals. In particular, we have been able to observe the collapse of the disclination line due to a temperature-induced anchoring-angle transition, which has allowed us to rule out the presence of a real disclination line near the nematic/isotropic front in directional growth experiments.

Three essays on major trends in a slow clockspeed industry : the case of industrial automation

The motivation for this research initiated from the abrupt rise and fall of minicomputers which were initially used both for industrial automation and business applications due to their significantly lower cost than their predecessors, the mainframes. Later industrial automation developed its own vertically integrated hardware and software to address the application needs of uninterrupted operations, real-time control and resilience to harsh environmental conditions. This has led to the creation of an independent industry, namely industrial automation used in PLC, DCS, SCADA and robot control systems. This industry employs today over 200'000 people in a profitable slow clockspeed context in contrast to the two mainstream computing industries of information technology (IT) focused on business applications and telecommunications focused on communications networks and hand-held devices. Already in 1990s it was foreseen that IT and communication would merge into one Information and communication industry (ICT). The fundamental question of the thesis is: Could industrial automation leverage a common technology platform with the newly formed ICT industry? Computer systems dominated by complex instruction set computers (CISC) were challenged during 1990s with higher performance reduced instruction set computers (RISC). RISC started to evolve parallel to the constant advancement of Moore's law. These developments created the high performance and low energy consumption System-on-Chip architecture (SoC). Unlike to the CISC processors RISC processor architecture is a separate industry from the RISC chip manufacturing industry. It also has several hardware independent software platforms consisting of integrated operating system, development environment, user interface and application market which enables customers to have more choices due to hardware independent real time capable software applications. An architecture disruption merged and the smartphone and tablet market were formed with new rules and new key players in the ICT industry. Today there are more RISC computer systems running Linux (or other Unix variants) than any other computer system. The astonishing rise of SoC based technologies and related software platforms in smartphones created in unit terms the largest installed base ever seen in the history of computers and is now being further extended by tablets. An underlying additional element of this transition is the increasing role of open source technologies both in software and hardware. This has driven the microprocessor based personal computer industry with few dominating closed operating system platforms into a steep decline. A significant factor in this process has been the separation of processor architecture and processor chip production and operating systems and application development platforms merger into integrated software platforms with proprietary application markets. Furthermore the pay-by-click marketing has changed the way applications development is compensated: Three essays on major trends in a slow clockspeed industry: The case of industrial automation 2014 freeware, ad based or licensed - all at a lower price and used by a wider customer base than ever before. Moreover, the concept of software maintenance contract is very remote in the app world. However, as a slow clockspeed industry, industrial automation has remained intact during the disruptions based on SoC and related software platforms in the ICT industries. Industrial automation incumbents continue to supply systems based on vertically integrated systems consisting of proprietary software and proprietary mainly microprocessor based hardware. They enjoy admirable profitability levels on a very narrow customer base due to strong technology-enabled customer lock-in and customers' high risk leverage as their production is dependent on fault-free operation of the industrial automation systems. When will this balance of power be disrupted? The thesis suggests how industrial automation could join the mainstream ICT industry and create an information, communication and automation (ICAT) industry. Lately the Internet of Things (loT) and weightless networks, a new standard leveraging frequency channels earlier occupied by TV broadcasting, have gradually started to change the rigid world of Machine to Machine (M2M) interaction. It is foreseeable that enough momentum will be created that the industrial automation market will in due course face an architecture disruption empowered by these new trends. This thesis examines the current state of industrial automation subject to the competition between the incumbents firstly through a research on cost competitiveness efforts in captive outsourcing of engineering, research and development and secondly researching process re- engineering in the case of complex system global software support. Thirdly we investigate the industry actors', namely customers, incumbents and newcomers, views on the future direction of industrial automation and conclude with our assessments of the possible routes industrial automation could advance taking into account the looming rise of the Internet of Things (loT) and weightless networks. Industrial automation is an industry dominated by a handful of global players each of them focusing on maintaining their own proprietary solutions. The rise of de facto standards like IBM PC, Unix and Linux and SoC leveraged by IBM, Compaq, Dell, HP, ARM, Apple, Google, Samsung and others have created new markets of personal computers, smartphone and tablets and will eventually also impact industrial automation through game changing commoditization and related control point and business model changes. This trend will inevitably continue, but the transition to a commoditized industrial automation will not happen in the near future.

Yield and performance of sugarcane in on-farm interface with rubber in Brazil

Agroforestry systems are indicated as an alternative for sugarcane (Saccharum officinarum) cultivation in Piracicaba, SP, Brazil, however there are not many field experiments on plant performance under these conditions in the world. The objective of this work was to assess crop yield and partitioning in a sugarcane-rubber (Hevea brasiliensis) interface in on-farm conditions. The availability of irradiance for the crop along the interface was simulated and its effe ct over sugarcane dry matter production was tested. Crop yield was negatively affected by distance of the trees, but development and sucrose were not affected. Above ground dry matter increased from 16.6 to 51.5 t ha-1 from trees. Partitioning did not have a defined standard, as harvest index increased from 0.85 to 0.93, but specific leaf area was not significant along the transect, ranging from 13.48 to 15.73 m² kg-1. Light is the main factor of competition between the trees and the crop, but the relative importance of below ground interactions increases closer to the trees. Feasibility of the system depends on maturity of the trees and management strategies.

Creació d’un model de simulació pels propulsors del robot submarí Girona 500 mitjançant CFD

S’arriba a un acord entre el grup de recerca GREFEMA i ViCOROB per estudiar els propulsors de palesutilitzats fins a l’actualitat en el robot submarí Girona 500, de forma que el model creatserveixi d’eina per apoder estudiar qualsevol tipus de propulsor que es vulgui fer servir.Es crearà un model de simulació amb CFD d’ANSYS per tal de poder recrear qualsevol situació ambqualsevol model de propulsor que es vulgui emprar, estalviant en costos de compra o fabricació, a mésd’evitar un muntatge experimental que pot no ser del tot fiable.A partir de geometries de propulsors de pales comercials existents es realitzarà una simulació amb elprograma de dinàmica de fluids computacional (CFD) d’ANSYS.La informació proporcionada per l’eina de simulació es compararan amb els resultats obtinguts de formaempírica a les instal•lacions del Parc Científic i Tecnològic de la Universitat de Girona i amb el model teòric.D’aquesta forma, es comprovarà la bondat de la simulació i es validarà el model numèric utilitzat

Direct numerical simulations of interface dynamics to link capillary pressure and total surface energy

The flow of two immiscible fluids through a porous medium depends on the complex interplay between gravity, capillarity, and viscous forces. The interaction between these forces and the geometry of the medium gives rise to a variety of complex flow regimes that are difficult to describe using continuum models. Although a number of pore-scale models have been employed, a careful investigation of the macroscopic effects of pore-scale processes requires methods based on conservation principles in order to reduce the number of modeling assumptions. In this work we perform direct numerical simulations of drainage by solving Navier-Stokes equations in the pore space and employing the Volume Of Fluid (VOF) method to track the evolution of the fluid-fluid interface. After demonstrating that the method is able to deal with large viscosity contrasts and model the transition from stable flow to viscous fingering, we focus on the macroscopic capillary pressure and we compare different definitions of this quantity under quasi-static and dynamic conditions. We show that the difference between the intrinsic phase-average pressures, which is commonly used as definition of Darcy-scale capillary pressure, is subject to several limitations and it is not accurate in presence of viscous effects or trapping. In contrast, a definition based on the variation of the total surface energy provides an accurate estimate of the macroscopic capillary pressure. This definition, which links the capillary pressure to its physical origin, allows a better separation of viscous effects and does not depend on the presence of trapped fluid clusters.