This thesis is concerned with the new formulation of a finite-volume lattice Boltzmann equation method and its implementation on unstructured meshes. The finite-volume discretization with a cell-centered tessellation is employed. The new formulation effectively adopts a total variation diminishing concept. The formulation is analyzed for the modified partial differential equation and the apparent viscosity of the model. Further, the high-order extension of the present formulation is laid out. Parallel simulations of a variety of two-dimensional benchmark flows are carried out to validate the formulation. In Chapter 1, the important notions of the kinetic theory and the most celebrated equation in the kinetic theory, ‘the Boltzmann equation’ are given. The historical developments and the theory of a discrete form of Boltzmann equation are briefly discussed. Various off-lattice schemes are introduced. Various methodologies adopted in the past for the solution of the lattice Boltzmann equation on finite-volume discretization are reviewed. The basic objectives of this thesis are stated. In Chapter2,the basic formulations of lattice Boltzmann equation method with a rational behind different boundary condition implementations are discussed. The benchmark flows are studied for various flow phenomenon with the parallel code developed in-house. In particular, the new benchmark solution is given for the flow induced inside a rectangular, deep cavity. In Chapter 3, the need for off-lattice schemes and a general introduction to the finite-volume approach and unstructured mesh technology are given. A new mathematical formulation of the off-lattice finite-volume lattice Boltzmann equation procedure on a cell-centered, arbitrary triangular tessellation is laid out. This formulation employs the total variation diminishing procedure to treat the advection terms. The implementation of the boundary condition is given with an outline of the numerical implementation. The Chapman-Enskog (CE) expansion is performed to derive the conservation equations and an expression for the apparent viscosity from the finite-volume lattice Boltzmann equation formulation in Chapter 4. Further, the numerical investigations are performed to analyze the apparent viscosity variation with respect to the grid resolution. In Chapter 5, an extensive validation of the newly formulated finite-volume scheme is presented. The benchmark flows considered are of increasing complexity and are namely (1) Posieuille flow, (2) unsteady Couette flow, (3) lid-driven cavity flow, (4) flow past a backward step and (5) steady flow past a circular cylinder. Further, a sensitivity study to the various limiter functions has also been carried out. The main objective of Chapter6is to enhance the order of accuracy of spatio-temporal calculations in the newly presented finite-volume lattice Boltzmann equation formulation. Further, efficient implementation of the formulation for parallel processing is carried out. An appropriate decomposition of the computational domain is performed using a graph partitioning tool. The order-of-accuracy has been verified by simulating a flow past a curved surface. The extended formulation is employed to study more complex unsteady flows past circular cylinders. In Chapter 7, the main conclusions of this thesis are summarized. Possible issues to be examined for further improvements in the formulation are identified. Further, the potential applications of the present formulation are discussed.

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Serial Editions: Another Book of Books for the Chapman is a collection of chapbooks whose titles include First Cold Morning, River Music, Vow, Intimate Interactions of a Corollary ( w/ braille translations), My Soul From Yesterday & Another Abecedarian for the World. You may or might not get a postcard in the mail announcing its distribution, then, one chapbook at a time, as in serial comics, slowly collecting, only later to receive them all, collected in a single book object..

The task of this diploma thesis is the Lattice Boltzmann method (LBM). LBM is a mesoscopic method describing the particle motion in a fluid by the Boltzmann equation, where the distribution function is involved. The Chapman-Enskog expansion shows the connection with the macroscopic Navier-Stokes equations of conservation laws. In this process the Hermite polynoms are used. The Lattice Boltzmann equation is derived by the discretisation of velocity, space and time which is concluding to the numerical algorithm. This algorithm is applied at two problems of fluid flow: the two-dimensional square cavity and a flow arround obstacles. In both cases were the results of velocities compared to results calculated by finite volume method (FVM). The relative errors are in order of multiple 1 %.

La miniaturisation de plus en plus poussée (micro et nano) des systèmes mécanique connaît un important développement depuis une dizaine d'années. Leur conception et réalisation nécessite une connaissance approfondie des écoulements micro-fluidiques. Dans le domaine énergétique, le rendement d'un moteur thermique se dégrade sérieusement lors d'une réduction d'échelle. En effet, les pertes de chaleur pariétales peuvent devenir aussi importantes que l'énergie libérée. Une voie prometteuse consiste à utiliser les ondes de choc / détonation pour accélérer la libération d'énergie. Dans ce cas, la détonation peut être assimilée à une onde de choc inerte, couplée à une zone de réaction, caractérisée par la présence d'instabilités longitudinales et transverses, soumettant ainsi le front de choc à de violentes accélérations / décélérations. L'objectif de la thèse est de mieux appréhender la structure moyenne de la zone de réaction qui s'étend du choc jusqu'à la surface sonique. Sur le plan de la modélisation numérique, les équations de Navier-Stokes compressibles, multi-espèces, réactives sont résolues au sein du solveur CHOC-WAVES développé au CORIA, avec une thermodynamique variables et des coefficients de transport dépendant des espèces. La condition de Chapman-Jouguet généralisée a été élaborée et confirmée par les résultats de simulations numériques dans le cas d'une détonation multidimensionnelle stable. En particulier, il a été montré que les instabilités transverses s'atténuaient avec la réduction d'échelle. A cet effet, un scénario a été proposé pour expliquer le déficit de la vitesse du front de détonation, en se basant sur la structure de la poche subsonique aval, en corrélation avec l'épanouissement de la couche limite. Ce schéma partage de fortes similitudes avec la macro-détonation, tout en gardant des différences. En particulier, il a été montré que la forte vorticité, produite au niveau de la singularité de Prandtl-Meyer, souvent négligée dans les modèles de macro-détonation, diffusait au sein de la poche subsonique. Ces résultats tout à fait originaux ont permis une avancée significative dans la compréhension du mécanisme de propagation des fronts de détonation stables et confinées.

The main objective of this thesis is to study the fundamental behaviour of multi-component gas mixture flows in micro/nano-channels undergoing catalytic chemical reactions on the walls. This work is primarily focused on nano-scale reacting flows seen in related applications; especially, miniaturized energy sources such as micro-fuel cells and batteries. At these geometries, the order of the characteristic length is close to the mean free path of the flowing gas, making the flow highly rarefied. As a result, non-equilibrium conditions prevail even the bulk flow and therefore, continuum assumptions are not held anymore. Hence, discrete methods should be adopted to simulate molecular movements and interactions described by the Boltzmann equation. The Direct Simulation Monte Carlo (DSMC) method was employed for the present research due to its natural ability for simulating a broad range of rarefied gas flows, and its flexibility to incorporate surface chemical reactions. In the first step, fluid dynamics and the heat transfer of H₂/N₂ and H₂/N₂/CO₂ gas mixture slip flows in a plain micro-channel are simulated. The obtained results are compared to the corresponding data achieved from Navier-Stokes equations with slip/jump boundary conditions. Generally, very good agreements are observed between the two methods. It proves the ability of DSMC in replicating the fluid properties of multi-component gas mixtures even when high mass discrepancies exist among the species. Based on this comparison, the proper parameters are set for the prepared DSMC code, and the appropriate intermolecular collision model is identified. It is also found that stream variables should be calculated more accurately at flow boundaries in order to simulate the intense upstream diffusion emerging at low velocity flows frequently seen in micro/nano-applications. Therefore, in the second step, a novel pressure boundary condition is introduced for gas mixture flows by substituting the commonly used Maxwell velocity distribution with the Chapman-Enskog distribution function. It is shown that this new method yields better results for lower velocity and higher rarefaction level cases. In the last step, a new method is proposed for coupling the flow field simulated by DSMC and surface reactions modelled by the species conservation ODE system derived from the reaction mechanism. First, a lean H₂/air slip flow subjected to oxidation on platinum coated walls in a flat micro-channel 4μm in height is simulated as a verification test case. The results obtained are validated against the solutions of the Navier-Stokes equations with slip/jump boundary conditions and very good conformity is achieved. Next, several cases undergoing the same reaction with Reynolds numbers ranging from 0.2 to 3.6 and Knudsen numbers ranging from 0.025 to 0.375, are simulated using the verified code to investigate the effects of the channel height ranging from 0.5μm to 2μm , the inlet mass flow rate ranging from 5 kg/m².s to 25 kg/m².s, the inlet temperature ranging from 300K to 700K, the wall temperature ranging from 300K to 1000K, and the fuel/air equivalence ratio ranging from 0.28 to 1.5. Some of the findings are as follows: (1) increasing the surface temperature from 600K to 1000K and/or the inlet temperature from 300K to 700K results in negligible enhancement of the conversion rate, (2) the optimum value of the equivalence ratio is on the fuel lean side (around 0.5), (3) the efficiency of the reactor is higher for smaller channel heights, and (4) increasing the inlet mass flux elevates the reaction rate especially for the smaller channels; this effect is not linear and is more magnified for lower mass fluxes.

In this thesis I explore the global circulation and cross-cultural encounters of women advocacy travelers in the early twentieth century. I focus on Carrie Chapman Catt, Margaret Hodge, Mildred McFaden, and Madeleine Z. Doty, who journeyed around the world in order to advocate for women’s rights and peace. Catt traveled on behalf of the International Woman Suffrage Alliance (IWSA) to South Africa, the Middle East, and Asia in 1911-12, Hodge promoted women’s suffrage around the British dominions, and McFaden and other members of the American Woman’s Republic brought a resolution linking peace and women’s suffrage to the IWSA congress in Budapest in 1913. Doty made several journeys from the U.S. to Germany and Russia, as a dissident antiwar journalist during the First World War. Using their travel writings, I explore these women travelers, their encounters with women from other countries and cultures, and their ideas about internationalism and inclusion in the worldwide movement for women’s rights.

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Stanley Chapman n’est pas un traducteur ni même un écrivain très connu. Le volume de ses écrits originaux, qui sont d’ailleurs difficiles voire impossibles à trouver, et des traductions à son actif reste mince. Peut-être serait-il même passé complètement inaperçu, sauf bien sûr chez ses compères du Collège de ’Pataphysique, de l’Oulipo et de l’Outrapo, s’il n’avait pas traduit deux romans phares de l’écrivain français Boris Vian: L’Écume des jours et L’Arrache-coeur. La prose singulière de Vian l’aurait-elle incité à passer à l’acte d’écriture qui trouve justement sa source et se déploie dans l’acte du traduire ? Par ailleurs, les affinités intellectuelles que partageaient Vian et Chapman pourraient-elles aussi être en cause dans cette expérience du traduire ? Henri Meschonnic et Antoine Berman nous informent que la critique de la traduction a le pouvoir de révéler le rapport intime entre la pensée, l’écriture et la traduction. À partir de la « poétique du traduire » de Meschonnic et de « l’analytique de la traduction » de Berman, ce mémoire interroge en quoi Heartsnatcher, la traduction anglaise de L’Arrache-coeur, peut être considérée comme un acte de « traduire-écrire ». Étayée des notions de rythme et de signifiance, notre critique identifie les stratégies qui émergent de cette activité de création qu’est la traduction et par le fait même, révèle la manière particulière dont Stanley Chapman est parvenu à traduire L’Arrache-coeur. / Stanley Chapman is not a well known translator or writer. The sum of his original works, which are difficult – when not impossible – to find, and of his translations is modest. He would probably have gone completely unnoticed by the literary establishment – beyond the literary circle of the Collège de ’Pataphysique, the Oulipo and the Outrapo – had he not translated two of the French writer Boris Vian's most famous novels : L'Écume des jours (Froth on the Daydream) and L’Arrache-coeur (Heartsnatcher). Has Vian's singular prose incited Chapman to the act of writing, an activity which springs from, and unfolds in, the act of translating ? Moreover, could the intellectual affinities Vian and Chapman shared have also been a factor in this translating experience ? According to Henri Meschonnic and Antoine Berman, a translation criticism reveals the close interaction of thought, writing and translating. Using Meschonnic's « poetics of translation » and Berman's « translation analysis », this memoir will endeavour to determine how Heartsnatcher, the English translation of L’Arrache-coeur, can be considered an act of « translating-writing ». Taking into account such concepts as rhythm and significance (signifiance), our criticism will identify the crucial strategies that arise from this act of creation that is translation, and in so doing, will reveal the particular manner in which Stanley Chapman translated L’Arrache-coeur.