The dissertation explores a framework for numerically simulating the deformation of the liquid metal wall's free surface in Z-pinch fusion devices. This research is conducted in the context of utilizing liquid metals as plasma-facing components in fusion reactors. In the Z-pinch fusion process, electric current travels through a plasma column and enters into a pool of liquid metal. The current flowing through the liquid metal generates Lorentz force, which deforms the free surface of the liquid metal. Modeling this phenomenon is essential as it offers insights into the feasibility of using liquid metal as an electrode wall in such fusion devices. The conventional magneto-hydrodynamic (MHD) formulation aims at modeling the situation where an external magnetic field is applied to flows involving electrically conducting liquids, with the initial magnetic field is known and then evolved over time through magnetic induction equation. However, in Z-pinch fusion devices, the electric current is directly injected into a conducting liquid. In these situations, an analytical expression for the magnetic field generated by the applied current is not readily available, necessitating numerical calculations. Moreover, the deformation of the liquid metal surface changes the geometry of the current path over time and the resulting magnetic field. By directly solving the Maxwell equations in combination with Navier-Stokes equations, it becomes possible to predict the magnetic field even when the fluid is in motion. In this dissertation, a numerical framework utilizing the Maxwell-Navier-Stokes system is explored to successfully capture the deformation of the liquid metal's free surface due to applied electric current. / Doctor of Philosophy / In this dissertation, a method is described that uses a computer to simulate how the initially stable, flat surface of liquid metal deforms when subjected to electrical currents in Z-pinch fusion devices, a specific type of nuclear fusion technology. Z-pinch fusion devices generate plasma, a hot fluid-like substance, through the nuclear fusion process, triggered and maintained by strong pulsated current. There's a growing interest in using liquid metal as the first layer of material to isolate the hot plasma from the rest of the nuclear fusion reactor body, rather than solid materials, due to its unique benefits. However, the Z-pinch fusion process, by introducing electric currents through the liquid metal layer, induces a Lorentz force that consequently deforms the surface of the liquid metal. Developing a tool to predict this deformation is vital as it aids in evaluating the potential of using liquid metal as a plasma-facing layer over solid materials in these fusion devices. The simulation tools presented in this dissertation are able to successfully captures the dynamics of how the liquid metal surface deforms under the impact of electrical currents.

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Trois modules seront développés: Le module de détection a produit une analyse des problématiques figurations con, à savoir un ensemble de domaines où soit quelques nouveaux DDL ou des changements locaux dans les contraintes sont obligatoires. Le module de traitement permettra à la défi nition des mécanismes pour aider la décision sur modi cations. Le module de prédiction dire le degré de déformation en pré-analyser les caractéristiques des configurations de NURBS. / Three modules will be developed: The detection module has produced an analysis of problematic con figurations, i.e. a set of areas where either some new DOFs or some local changes in the constraints are mandatory. The treatment module will enable the defi nition of mechanisms to help the decision on modi cations. The prediction module will tell the degree of deformation by pre-analyzing the features of NURBS configurations.

Laser is an efficient and widely used heat source in metal processing suchas welding and additive manufacturing. It has some great advantages compared to the other conventional heat sources like electron beam and arc namely: ability of handling complicated joint geometries and producing large components. Laser beam welding encompasses many complex physical phenomena such asheat transfer, metal melting, flow and solidification, free surface deformation, evaporation and possibly vaporization. The aim of this research work istwo-fold: gain deeper process understanding and improve the model reliability. Deeper process understanding is sought on the effect of beam shaping on themelt pool. To achieve improved model reliability, a good support consists in using qualitative experimental data representing the process. Thus, 3D validation of the melt pool geometry is performed while it was usually 2D inprevious research works. Furthermore, a new calculation procedure for laser absorption is introduced. To conduct this research work, a Computational Fluid Dynamics approach is used. A solver, capable of tracking the deformation of the melt free surface, is developed in OpenFOAM. Concerning beam shaping, it is found that not only the melt pool size as previously known but also the melt flow pattern is modified through elongating the beam shape.This last result could not be revealed by former studies as the non-transparent media hinders optical observation. New in-process quantitative measurements performed by a project partner are used to test the model. Weaknesses of the former absorptivity models are highlighted, as well as the limitations of the proposed model. Finally, the results show that the proposed absorptivity model function of local surface conditions leads to much better agreement with experimental results compared to the former constant absorptivity model. The maximum discrepancy compared to the experimental measurement, which is observed for the melt pool depth, can indeed be reduced to about 10%. / Laser är en effektiv och allmänt använd värmekälla vid svetsning och additiv tillverkning. Den har några viktiga fördelar jämfört med andra konventionella värmekällor såsom elektronstråle och elektrisk ljusbåge, nämligen: den kan ofta användas till komplicerade svetsgeometrier, och den kan producera stora komponenter. Lasersvetsning involverar olika sammansatta fysikaliska fenomen såsom värmeöverföring, metallsmältning, flöde, stelning, ytdeformation, avdunstning och i vissa fall förångning. Syftet med mitt forskningsarbete är tvåfaldigt: att få en djupare processförståelse och att förbättra modellens tillförlitlighet. Fördjupad processförståelse eftersträvades för att förstå hur formen på laserstrålen påverkar svetssmältan. För att uppnå förbättrad modellsäkerhet behövs experimentella data av hög kvalitet som representerar processen. Således utfördes 3D-validering av smältgeometrin medan det vanligtvis var 2D i tidigare forskningsarbeten. Dessutom har en ny modell för laserabsorption föreslagits. I forskningen har numerisk strömningssimulering (Computational Fluid Dynamics) använts för att simulera processen och en numerisk lösare, som kan spåra deformationen av den rörliga smälta ytan, är utveckladi programvaran OpenFOAM. Beträffande laserstrålens utbredning visar resultaten att svetssmältans storlek och även svetssmältansflöde modifieras genom att laserstråleformen förlängs. Medan den förra är känd från tidigare experimentella studier upptäcktes den senare inte före denna studie eftersomdet icke-transparenta mediet hindrar optisk observation. Nya (in-process) kvantitativa mätningar utförda av en projektpartner har använts för att testa modellerna. Svagheter i den tidigare absorptionsmodellen framhävdes, liksom begränsningarna i den föreslagna modellen. Slutligen visade resultaten att den föreslagna modellen där laserabsorptionen är en funktion av lokala ytförhållanden ledde till en bättre overensstämmelse med mätningar jämfört med den tidigare modellen med konstant laserabsorbtion. Den maximala avvikelsen jämfört med experimentell mätning, som observerades med avseende på smältbassängsdjupet, kunde reduceras till cirka 10%. / <p>Till licentiatuppsats hör 2 inskickade artiklar, som inte visas nu.</p>

Gas metal arc is a high-efficiency and widely used heat source for metal processing applied predominantly in welding and additive manufacturing. In this study, it was applied to welding. It offers high productivity, low production and investment cost, as well as suffers from some drawbacks such as humping or undercut when welding large parts that are curved and impose changing the orientation of the welding torch along the joint path. Deeper process understanding was therefore sought to mitigate these drawbacks. The difficulty is then the non-lineardependence of the process to the welding parameters and material properties. Besides, visual observation of this process is also difficult. For instance, the elevated temperature and the intense radiative emission from the electric arc, smoke, spatter, as well as the non-transparency of the processed alloy can hinder in-process observation or limit it. Process simulation provides a complementary means to reach process knowledge. It was thus the approach used in this study. For this, a thermo-fluid melt pool model that can predict melting and solidification, track free surface deformation, metal transfer, and coalescence with the melt pool was developed. Two main research questions were identified and addressed.The first one led to studying the effect of the substrate orientation during multilayer welding of a V-groove joint with INVAR and gas metal arc. It was foundthat the force balance in the melt pool changes significantly when the workpieceorientation is changed, resulting in distinct melt flow patterns, melt pool and bead geometries, and in some conditions defect initiation such as humping, undercut, and lack of fusion. As a result, multi-layer welding with flat substrate and downhill welding of a 20◦ inclined substrate are recommended with these process conditions. On the contrary, welding of a side inclined substrate and uphill welding of a 20◦ inclined substrate are not recommended. The second question gave rise to the comparative investigation of the three electromagnetic force models commonly used when modelling a melt pool produced by an electric arc. The underlying modelling assumptions were retrieved and investigated. It was found that each of these three models predicts a different melt flow pattern, different heat convection, melt pool shape, free surface oscillation, and interaction with the transferred metal drops, and thus result in different bead geometry. All these models can be adjusted to predict the penetration depth, however, only the most complete of them is recommended for developing a predictive melt pool model. For this, it is proposed as a future work to improve this model through predicting an electromagnetic force that takes also into account the local deformation of the free surface. / Gasmetallbåge är en effektiv och allmänt använd värmekälla vid svetsning och additiv tillverkning. I denna studie tillämpas den på svetsning. Den erbjuder hög produktivitet, låg kostnad vid inköp och användning, såväl som vissa nackdelarsom ojämn "bucklig" svetssträng och smältdiken vid svetsning av stora komponenter som är krökta och medför att svetsbrännarens orientering ändras utmed fogen. Bättre processförståelse eftersträvas därför för att mildra dessa nackdelar. En utmaning är processens icke-linjära beroende av svetsparametrarna och materialegenskaperna. Dessutom är experimentell optisk övervakning svår. Till exempel kan den höga temperaturen och den intensiva elektromagnetiska strålningen från ljusbågen, rök, sprut, såväl som legeringens ogenomskinlighet, förhindra observation under processen eller begränsa den. Processimulering erbjuder en komplementär metod för att nå processkunskap. Det är alltså detta tillvägagångssätt som används i denna studie. För detta har en modell av värme och materialflödena i smältan utvecklats som kan prediktera smältning och stelning, spåra smältytans deformation, metallflöde och koalescens med smältan.Två huvudsakliga forskningsfrågor har identifierats och adresserats. Den första studerade gravitationens påverkan vid flersträngs-, gasmetallbågsvetsning av V-fogar i INVAR. Olika svetslägen har visat sig ha en betydande påverkan på kraftbalanserna i svetssmältan vilket resulterar i distinkta smältflöden, smält- och svetsförbandgeometrier, och under vissa förhållanden svetsdefekter såsom ojämn "bucklig" svetssträng, smältdiken och bindfel. Som ett resultat rekommenderas horisontellt och 20◦ fallande läge vid flersträngssvetsning, medan 20◦ stigande och sidolutande inte rekommenderas. Den andra frågan undersökte inverkan av de tre huvudsakliga modellerna för den elektromagnetiska kraften som idag används vid svetssimuleringar. För modelleringen har antaganden lagts fram och undersökts. Det visade sig att de tre modellerna predikterar olika flödesmönster i smältan, olika värmekonvektion, smältgeometri, ytvågor och interaktion med de överförda metalldropparna, och därmed också predikterar olika svetsstränggeometrier. Alla tre modeller kan justeras för att prediktera svetspenetrationen, men endast den mest kompletta av dessa rekommenderas för sant prediktiv modellering. Det föreslås också att ytterligare förbättra den mest kompletta modellen så att det elektromagnetiska kraftfältet följer deformationen av den fria smältytan. / <p>Submitted papers or manuscripts have been excluded from the fulltext file. </p>

Des efforts de recherche considérables ont été déployés afin d'améliorer les résultats de traitement de cancers pulmonaires. L'étude de la déformation de l'anatomie du patient causée par la ventilation pulmonaire est au coeur du processus de planification de traitement radio-oncologique. À l'aide d'images de tomodensitométrie quadridimensionnelles (4DCT), une simulation dosimétrique peut être calculée sur les 10 ensembles d'images du 4DCT. Une méthode doit être employée afin de recombiner la dose de radiation calculée sur les 10 anatomies représentant une phase du cycle respiratoire. L'utilisation de recalage déformable d'images (DIR), une méthode de traitement d'images numériques, génère neuf champs vectoriels de déformation permettant de rapporter neuf ensembles d'images sur un ensemble de référence correspondant habituellement à la phase d'expiration profonde du cycle respiratoire. L'objectif de ce projet est d'établir une méthode de génération de champs de déformation à l'aide de la DIR conjointement à une méthode de validation de leur précision. Pour y parvenir, une méthode de segmentation automatique basée sur la déformation surfacique de surface à été créée. Cet algorithme permet d'obtenir un champ de déformation surfacique qui décrit le mouvement de l'enveloppe pulmonaire. Une interpolation volumétrique est ensuite appliquée dans le volume pulmonaire afin d'approximer la déformation interne des poumons. Finalement, une représentation en graphe de la vascularisation interne du poumon a été développée afin de permettre la validation du champ de déformation. Chez 15 patients, une erreur de recouvrement volumique de 7.6 ± 2.5[%] / 6.8 ± 2.1[%] et une différence relative des volumes de 6.8 ± 2.4 [%] / 5.9 ± 1.9 [%] ont été calculées pour le poumon gauche et droit respectivement. Une distance symétrique moyenne 0.8 ± 0.2 [mm] / 0.8 ± 0.2 [mm], une distance symétrique moyenne quadratique de 1.2 ± 0.2 [mm] / 1.3 ± 0.3 [mm] et une distance symétrique maximale 7.7 ± 2.4 [mm] / 10.2 ± 5.2 [mm] ont aussi été calculées pour le poumon gauche et droit respectivement. Finalement, 320 ± 51 bifurcations ont été détectées dans le poumons droit d'un patient, soit 92 ± 10 et 228 ± 45 bifurcations dans la portion supérieure et inférieure respectivement. Nous avons été en mesure d'obtenir des champs de déformation nécessaires pour la recombinaison de dose lors de la planification de traitement radio-oncologique à l'aide de la méthode de déformation hiérarchique des surfaces. Nous avons été en mesure de détecter les bifurcations de la vascularisation pour la validation de ces champs de déformation. / Purpose: To allow a reliable deformable image registration (DIR) method for dose calculation in radiation therapy and to investigate an automatic vessel bifurcations detection algorithm for DIR assessment to improve lung cancer radiation treatment. Methods: 15 4DCT datasets are acquired and deep exhale respiratory phases are exported to Varian treatment planning system (TPS) Eclipse^{\text{TM}} for contouring. Voxelized contours are smoothed by a Gaussian filter and then transformed into a surface mesh representation. Such mesh is adapted by rigid and elastic deformations based on hierarchical surface deformation to match each subsequent lung volumes. The segmentation efficiency is assessed by comparing the segmented lung contour and the TPS contour considering two volume metrics, defined as Volumetric Overlap Error (VOE) [%] and Relative Volume Difference (RVD) [%] and three surface metrics, defined as Average Symmetric Surface Distance (ASSD) [mm], Root Mean Square Symmetric Surface Distance (RMSSD) [mm] and Maximum Symmetric Surface Distance (MSSD) [mm]. Vesselness filter was applied within the segmented lung volumes to identify blood vessels and airways. Segmented blood vessels and airways were skeletonised using a hierarchical curve-skeleton algorithm based on a generalized potential field approach. A graph representation of the computed skeleton was generated to assign one of three labels to each node: the termination node, the continuation node or the branching node. Results: The volume metrics obtained are a VOE of 7.6 ± 2.5[%] / 6.8 ± 2.1[%] and a RVD of 6.8 ± 2.4 [%] / 5.9 ± 1.9 [%] respectively for left and right lung. The surface metrics computed are an ASSD of 0.8 ± 0.2 [mm] / 0.8 ± 0.2 [mm], a RMSSD of 1.2 ± 0.2 [mm] / 1.3 ± 0.3 [mm] and a MSSD of 7.7 ± 2.4 [mm] / 10.2 ± 5.2 [mm] respectively for left and right lung. 320 ± 51 bifurcations were detected in the right lung of a patient for the 10 breathing phases. 92 ± 10 bifurcations were found in the upper half of the lung and 228 ± 45 bifurcations were found in the lower half of the lung. Discrepancies between ten vessel trees were mainly ascribed to the segmentation methode. Conclusions: This study shows that the morphological segmentation algorithm can provide an automatic method to capture an organ motion from 4DCT scans and translate it into a volume deformation grid needed by DIR method for dose distribution combination. We also established an automatic method for DIR assessment using the morphological information of the patient anatomy. This approach allows a description of the lung’s internal structure movement, which is needed to validate the DIR deformation fields.

В работе рассматривается технология, включающая дуговую наплавку в инертном газе порошковой проволокой типа 50Х18 с последующей деформационной обкаткой. Разработан инструмент позволяющий реализовать деформационную обкатку шаром с регулируемой нагрузкой. Наплавленный слой имеет структуру метастабильного аустенита, который при нагружении преобразуется в твердый мартенсит. Измерения показывают, что технология приводит к увеличению твердости поверхности образца с 40 HRC до 54 HRC и снижению шероховатости с Ra 1,2 до Ra 0,4. Результаты позволяют рекомендовать технологию применительно к штокам и плунжерам гидроцилиндров. Магистерская диссертация включает в себя 71 страницу, 33 рисунка, 13 таблиц, 10 литературных источников. / The study shows a technology comprising MIG deposition of cored wire like 50Cr18 with the subsequent surface deformation. Specially developed device realizes adjustable ball rolling load. The structure of the weld includes a large share of metastable austenite, which transforms to hard martensite at loading. The measuring shows that the technology provides an increase of the sample’s surface hardness from 40 HRC to 54 HRC and decrease it’s roughness from Ra 1,2 to Ra 0,4. The results allow using the technology applying to hydraulic pistons. The master's thesis includes 71 pages, 33 figures, 13 tables, 10 literary sources.

L’interaction statique et dynamique entre une sonde locale et un film de liquide provoque la déformation de ce dernier. Ce phénomène a été décrit par des équations analytiques, qui ont été analysées et résolues numériquement. Les potentiels d’interaction sonde/liquide et liquide/substrat ont été déduits à partir de l’intégration des forces de dispersion. La différence de pression à travers l’interface air/liquide a été calculée avec une équation de Young-Laplace modifiée, qui prend en compte les effets de la gravité, de tension superficielle, ainsi que les potentiels d’interaction liquide/substrat et sonde/liquide. Pour le cas statique, l’équation modifiée de Young-Laplace en équilibre a été examinée. La théorie de la lubrification a été utilisé pour décrire l’évolution du film liquide, afin d’analyser le phénomène dynamique. Des simulations numériques de la forme de la surface d’équilibre et de l’évolution dynamique du film ont été réalisées. Des comportements stables et instables ont été discernés, et les résultats ont confirmé l’existence d’une distance de seuil, pour le cas statique, et d’une combinaison de paramètres d’oscillation, pour la situation dynamique, pour lesquelles le saut du liquide vers la sonde se produit. Une analyse théorique a confirmé l’existence de conditions critiques qui séparent les régimes de comportement. Ces conditions critiques indiquent le rôle des paramètres physiques et géométriques dans la stabilité du système. Pour le cas dynamique, les résultats préliminaires sont rapportés et une interprétation qualitative du phénomène est formulée. En outre, des expériences de spectroscopie AFM de force et amplitude ont été effectuées et comparées avec les résultats numériques. / The static and dynamic interaction between a local probe and a liquid film provokes the deformation of the latter. This phenomenon has been described by means of analytical equations, which had been analyzed and numerically solved. Probe/liquid and liquid/substrate interaction potentials have been deduced from the integration of the dispersion forces. The pressure difference across the air/liquid interface has been calculated with a modified Young-Laplace equation, which takes into account the effects of gravity, surface tension, the liquid film/substrate and the probe/liquid interaction potentials. For the static case, the equilibrium modified Young-Laplace equation has been considered. The lubrication theory has been used to describe the liquid film evolution, in order to analyze the dynamic phenomenon. Numerical simulations of the equilibrium surface shape and the dynamic evolution of the film have been performed. Stable and unstable behaviors had been discerned, and results confirmed the existence of a threshold distance, for the static case, and a combination of oscillation parameters, for the dynamic situation, for which the jump of the liquid to contact the probe occurs. A theoretical analysis confirmed the existence of critical conditions separating the behavior regimes. This critical conditions indicate the role of the physical and geometric parameters in the system stability. For the dynamic case, preliminary results are reported and a qualitative interpretation of the phenomenon is formulated. In addition, AFM force and amplitude spectroscopy experiments had been performed and compared with the numerical results.