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Dissertations / Theses on the topic 'Schéma de Splitting'

Author: Grafiati
Published: 30 November 2024
Last updated: 31 July 2025

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1

Bensaid, Bilel. "Analyse et développement de nouveaux optimiseurs en Machine Learning." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0218.

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Ces dernières années, l’intelligence artificielle (IA) est confrontée à deux défis majeurs (parmi d’autres), à savoir l’explicabilité et la frugalité, dans un contexte d’intégration de l’IA dans des systèmes critiques ou embarqués et de raréfaction des ressources. Le défi est d’autant plus conséquent que les modèles proposés apparaissent commes des boîtes noires étant donné le nombre faramineux d’hyperparamètres à régler (véritable savoir-faire) pour les faire fonctionner. Parmi ces paramètres, l’optimiseur ainsi que les réglages qui lui sont associés ont un rôle critique dans la bonne mise en
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2

Tang, Kunkun. "Combining Discrete Equations Method and Upwind Downwind-Controlled Splitting for Non-Reacting and Reacting Two-Fluid Computations." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00819824.

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Lors que nous examinons numériquement des phénomènes multiphasiques suite à un accidentgrave dans le réacteur nucléaire, la dimension caractéristique des zones multi-fluides(non-réactifs et réactifs) s'avère beaucoup plus petite que celle du bâtiment réacteur, cequi fait la Simulation Numérique Directe de la configuration à peine réalisable. Autrement,nous proposons de considérer la zone de mélange multiphasique comme une interface infinimentfine. Puis, le solveur de Riemann réactif est inséré dans la Méthode des ÉquationsDiscrètes Réactives (RDEM) pour calculer le front de combustion à grande
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3

Demange, Jérémie. "Schémas numériques d'advection et de propagation d'ondes de gravité dans les modèles de circulation océanique." Thesis, Grenoble, 2014. http://www.theses.fr/2014GRENM096/document.

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Les modèles numériques d'océans régionaux tridimensionnels sont basés sur la résolution des équations primitives et utilisent pour la plupart des méthodes de résolution eulérienne de type différences finies sur des grilles décalées. Ces modèles doivent représenter fidèlement les transports et transferts d'énergie. L'amélioration de ces modèles numériques exige donc (i) l'identification des processus prépondérants, notamment en terme de dissipation, dans ces transferts et (ii) la construction de méthodes numériques respectant un certain nombre d'équilibres. La première partie du travail se conc
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4

Caro, Florian. "Modélisation et simulation numérique des transitions de phase liquide vapeur." Phd thesis, Ecole Polytechnique X, 2004. http://pastel.archives-ouvertes.fr/pastel-00000993.

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Ce travail de thèse est consacré à la modélisation et à la simulation numérique des transitions de phase liquide-vapeur. L'étude effectuée se découpe en deux randes parties: une première où on étudie les phénomènes de transition de phase avec une loi d'état de type Van Der Waals (perte de monotonie de la loi d'état) et une deuxième partie où on choisit une approche alternative avec deux loi d'états. La première partie consiste à étudier les critères visqueux classiques de sélection des solutions du système d'équations utilisé lorsque la loi d'état n'est pas monotone. Les critères classiques ne
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5

Kularathna, Shyamini. "Splitting solution scheme for material point method." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/274140.

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Material point method (MPM) is a numerical tool which was originally used for modelling large deformations of solid mechanics problems. Due to the particle based spatial discretiza- tion, MPM is naturally capable of handling large mass movements together with topological changes. Further, the Lagrangian particles in MPM allow an easy implementation of history dependent materials. So far, however, research on MPM has been mostly restricted to explicit dynamic formu- lations with linear approximation functions. This is because of the simplicity and the low computational cost of such explicit alg
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6

Wood, William Alfred. "Multi-dimensional Upwind Fluctuation Splitting Scheme with Mesh Adaption for Hypersonic Viscous Flow." Diss., Virginia Tech, 2001. http://hdl.handle.net/10919/29772.

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A multi-dimensional upwind fluctuation splitting scheme is developed and implemented for two-dimensional and axisymmetric formulations of the Navier-Stokes equations on unstructured meshes. Key features of the scheme are the compact stencil, full upwinding, and non-linear discretization which allow for second-order accuracy with enforced positivity. Throughout, the fluctuation splitting scheme is compared to a current state-of-the-art finite volume approach, a second-order, dual mesh upwind flux difference splitting scheme (DMFDSFV), and is shown to produce more accurate results using fewer co
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7

Ravikumar, Devaki. "2D Compressible Viscous Flow Computations Using Acoustic Flux Vector Splitting (AFVS) Scheme." Thesis, Indian Institute of Science, 2001. https://etd.iisc.ac.in/handle/2005/277.

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The present work deals with the extension of Acoustic Flux Vector Splitting (AFVS) scheme for the Compressible Viscous flow computations. Accurate viscous flow computations require much finer grids with adequate clustering of grid points in certain regions. Viscous flow computations are performed on unstructured triangulated grids. Solving Navier-Stokes equations involves the inviscid Euler part and the viscous part. The inviscid part of the fluxes are computed using the Acoustic Flux Vector Splitting scheme and the viscous part which is diffusive in nature does not require upwinding and is ta
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8

Ravikumar, Devaki. "2D Compressible Viscous Flow Computations Using Acoustic Flux Vector Splitting (AFVS) Scheme." Thesis, Indian Institute of Science, 2001. http://hdl.handle.net/2005/277.

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The present work deals with the extension of Acoustic Flux Vector Splitting (AFVS) scheme for the Compressible Viscous flow computations. Accurate viscous flow computations require much finer grids with adequate clustering of grid points in certain regions. Viscous flow computations are performed on unstructured triangulated grids. Solving Navier-Stokes equations involves the inviscid Euler part and the viscous part. The inviscid part of the fluxes are computed using the Acoustic Flux Vector Splitting scheme and the viscous part which is diffusive in nature does not require upwinding and is ta
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9

Laborde, Maxime. "Systèmes de particules en interaction, approche par flot de gradient dans l'espace de Wasserstein." Thesis, Paris Sciences et Lettres (ComUE), 2016. http://www.theses.fr/2016PSLED014/document.

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Depuis l’article fondateur de Jordan, Kinderlehrer et Otto en 1998, il est bien connu qu’une large classe d’équations paraboliques peuvent être vues comme des flots de gradient dans l’espace de Wasserstein. Le but de cette thèse est d’étendre cette théorie à certaines équations et systèmes qui n’ont pas exactement une structure de flot de gradient. Les interactions étudiées sont de différentes natures. Le premier chapitre traite des systèmes avec des interactions non locales dans la dérive. Nous étudions ensuite des systèmes de diffusions croisées s’appliquant aux modèles de congestion pour pl
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10

Stauffert, Maxime. "Simulation numérique d'écoulements compressibles complexes par des méthodes de type Lagrange-projection : applications aux équations de Saint-Venant." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLV045/document.

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On étudie dans le cadre de la thèse une famille de schémas numériques permettant de résoudre les équations de Saint-Venant. Ces schémas utilisent une décomposition d'opérateur de type Lagrange-projection afin de séparer les ondes de gravité et les ondes de transport. Un traitement implicite du système acoustique (relié aux ondes de gravité) permet aux schémas de rester stable avec de grands pas de temps. La correction des flux de pression rend possible l'obtention d'une solution approchée précise quel que soit le régime d'écoulement vis-à-vis du nombre de Froude. Une attention toute particuliè
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11

Krinshnamurthy, R. "Kinetic Flux Vector Splitting Method On Moving Grids (KFMG) For Unsteady Aerodynamics And Aeroelasticity." Thesis, Indian Institute of Science, 2001. https://etd.iisc.ac.in/handle/2005/288.

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Analysis of unsteady flows is a very challenging topic of research. A decade ago, potential flow equations were used to predict unsteady pressures on oscillating bodies. Recognising the fact that nonlinear aerodynamics is essential to analyse unsteady flows accurately, particularly in transonic and supersonic flows, different Euler formulations operating on moving grids have emerged recently as important CFD tools for unsteady aerodynamics. Numerical solution of Euler equations on moving grids based on upwind schemes such as the ones due to van Leer and Roe have been developed for the purpose
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12

Krinshnamurthy, R. "Kinetic Flux Vector Splitting Method On Moving Grids (KFMG) For Unsteady Aerodynamics And Aeroelasticity." Thesis, Indian Institute of Science, 2001. http://hdl.handle.net/2005/288.

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Analysis of unsteady flows is a very challenging topic of research. A decade ago, potential flow equations were used to predict unsteady pressures on oscillating bodies. Recognising the fact that nonlinear aerodynamics is essential to analyse unsteady flows accurately, particularly in transonic and supersonic flows, different Euler formulations operating on moving grids have emerged recently as important CFD tools for unsteady aerodynamics. Numerical solution of Euler equations on moving grids based on upwind schemes such as the ones due to van Leer and Roe have been developed for the purpose
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13

Jobic, Yann. "Numerical approach by kinetic methods of transport phenomena in heterogeneous media." Thesis, Aix-Marseille, 2016. http://www.theses.fr/2016AIXM4723/document.

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Les phénomènes de transport en milieux poreux sont étudiés depuis près de deux siècles, cependant les travaux concernant les milieux fortement poreux sont encore relativement peu nombreux. Les modèles couramment utilisés pour les poreux classiques (lits de grains par exemple) sont peu applicables pour les milieux fortement poreux (les mousses par exemple), un certain nombre d’études ont été entreprises pour combler ce manque. Néanmoins, les résultats expérimentaux et numériques caractérisant les pertes de charge dans les mousses sont fortement dispersés. Du fait des progrès de l’imagerie 3D, u
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14

Jouannelle, Olivier. "Une étude comparative entre des schémas numériques 2D et splitting pour des e. D. P hyperboliques non linéaires bidimensionnelles dans le cadre des fonctions généralisées." Antilles-Guyane, 2010. https://hal.archives-ouvertes.fr/tel-01487366.

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Nous nous intéressons à la recherche et au calcul numérique de solutions faibles (au sens des fonctions généralisées) de l'équation de transport non liné̕̕̕̕aire~ ~M&t (x,y,t) +a(x,y,t)-ax(x,y,t) +b(x,y,t)fiij(x,y,t) °pour t > 0 complétée de la condition initiale: u(x,y,O) = Uo(x,y) où les fonctions {(x,y,t) --;. A(x,y,tn et {(x, y, t) --;. B(x, y, tn appartiennent a Loo(R2 x R+) (mais peuvent etre discontinues), les fonctions f et g sont lisses et monotones, la fonction ((x,y) --;. Uo(x,yn appartient a Loo(R2). Des rappels sur les fonctions generalisees nous permettent d'introduire leu
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15

Larat, Adam. "Conception et Analyse de Schémas Distribuant le Résidu d'Ordre Très Élevé. Application à la Mécanique des Fluides." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2009. http://tel.archives-ouvertes.fr/tel-00502429.

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La simulation numérique est aujourd'hui un outils majeur dans la conception des objets aérodynamiques, que ce soit dans l'aéronautique, l'automobile, l'industrie navale, etc... Un des défis majeurs pour repousser les limites des codes de simulation est d'améliorer leur précision, tout en utilisant une quantité fixe de ressources (puissance et/ou temps de calcul). Cet objectif peut être atteint par deux approches différentes, soit en construisant une discrétisation fournissant sur un maillage donné une solution d'ordre très élevé, soit en construisant un schéma compact et massivement parallélis
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16

Kunadian, Illayathambi. "NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL." UKnowledge, 2004. http://uknowledge.uky.edu/gradschool_theses/324.

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Ultra-fast laser heating of nano-films is investigated using 3-D Dual Phase Lag heat transport equation with laser heating at different locations on the metal film. The energy absorption rate, which is used to model femtosecond laser heating, is modified to accommodate for three-dimensional laser heating. A numerical solution based on an explicit finite-difference method is employed to solve the DPL equation. The stability criterion for selecting a time step size is obtained using von Neumann eigenmode analysis, and grid function convergence tests are performed. DPL results are compared with c
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17

Bauzet, Caroline. "Etude d'équations aux dérivées partielles stochastiques." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3007/document.

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Cette thèse s’inscrit dans le domaine mathématique de l’analyse des équations aux dérivées partielles (EDP) non-linéaires stochastiques. Nous nous intéressons à des EDP paraboliques et hyperboliques que l’on perturbe stochastiquement au sens d’Itô. Il s’agit d’introduire l’aléatoire via l’ajout d’une intégrale stochastique (intégrale d’Itô) qui peut dépendre ou non de la solution, on parle alors de bruit multiplicatif ou additif. La présence de la variable de probabilité ne nous permet pas d’utiliser tous les outils classiques de l’analyse des EDP. Notre but est d’adapter les t
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18

Hameed, Khalid W. H. "Multiuser Multi Input Single Output (MU-MISO) Beamforming for 5G Wireless and Mobile Networks. A Road Map for Fast and Low Complexity User Selection, Beamforming Scheme Through a MU-MISO for 5G Wireless and Mobile Networks." Thesis, University of Bradford, 2019. http://hdl.handle.net/10454/18445.

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Multi-User Multi-Input Multi-Output (MU-MIMO) systems are considered to be the sustainable technologies of the current and future of the upcoming wireless and mobile networks generations. The perspectives of these technologies under several scenarios is the focus of the present thesis. The initial system model covers the MU-MIMO, especially in the massive form that is considered to be the promising ideas and pillars of the 5G network. It is observed that the optimal number of users should be served in the time-frequency resource even though the maximum limitation of the MU-MIMO is governed
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19

Nordliden, Petter, and Sjöbladh Linda Didrik. "Måste det alltid bråkas med bråk? : En systematisk litteraturstudie om stambråkets betydelse i matematikundervisningen." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-91687.

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Denna systematiska litteraturstudie syftar till att med hjälp av forskning identifiera avgörande faktorer för framgångsrika undervisningsstrategier av stambråk i grundskolans matematikundervisning. Studien baseras på elva vetenskapliga artiklar som bearbetats systematiskt med hjälp av innehållsanalys för att besvara forsknings-frågorna om vilka avgörande faktorer som forskningen visar för undervisningen av stambråk samt vilka framgångsrika undervisningsstrategier som finns. Forskningen visar att areamodellen som representationsform dominerar undervisningen av bråk vilket innebär att stambråk f
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20

Bauzet, Caroline. "Étude d'équations aux dérivées partielles stochastiques." Phd thesis, Université de Pau et des Pays de l'Adour, 2013. http://tel.archives-ouvertes.fr/tel-00845337.

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Cette thèse s'inscrit dans le domaine mathématique de l'analyse des équations aux dérivées partielles (EDP) non-linéaires stochastiques. Nous nous intéressons à des EDP paraboliques et hyperboliques que l'on perturbe stochastiquement au sens d'Itô. Il s'agit d'introduire l'aléatoire via l'ajout d'une intégrale stochastique (intégrale d'Itô) qui peut dépendre ou non de la solution, on parle alors de bruit multiplicatif ou additif. La présence de la variable de probabilité ne nous permet pas d'utiliser tous les outils classiques de l'analyse des EDP. Notre but est d'adapter les t
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21

Souza, Grazione de. "Modelagem computacional de escoamentos com duas e três fases em reservatórios petrolíferos heterogêneos." Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=711.

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Fundação Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro<br>Considera-se neste trabalho um modelo matemático para escoamentos com duas e três fases em reservatórios petrolíferos e a modelagem computacional do sistema de equações governantes para a sua solução numérica. Os fluidos são imiscíveis e incompressíveis e as heterogeneidades da rocha reservatório são modeladas estocasticamente. Além disso, é modelado o fenômeno de histerese para a fase óleo via funções de permeabilidades relativas. No caso de escoamentos trifásicos água-óleo-gás a escolha de expressões gerais para
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22

Lin, Yu-Cheng, and 林于程. "Z-scheme overall water splitting over K4Nb6O17 photocatalyst." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/77657577587157549572.

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碩士<br>國立東華大學<br>材料科學與工程學系<br>101<br>In this study, we combine H2 evolution photocatalyst with O2 evolution photocatalyst, and use an aqueous NaI solution as I-/IO3- shuttle redox mediator in Z-scheme photocatalysis system for water splitting. We use solid state reaction to prepare H2 evolution photocatalyst, K4Nb6O17, and loading Rh as cocatalyst to improve hydrogen production. When the amount of loading Rh up to 1.5wt%, we get H2 evolution rate about 24mmol h-1 g-1 was higher than K4Nb6O17(337μmoleg-1h-1) as prepared. Then, we use exfoliation method to prepare our nanosheets photocatalyst, NS
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23

Lo, Chen-Chia, and 羅鎮嘉. "Hydrogen production from water splitting by Z-scheme photocatalysis." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/71036578343583743358.

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碩士<br>國立臺灣大學<br>化學工程學研究所<br>97<br>The Z-scheme is a two-photocatalyst system for photocatalytic water splitting to produce hydrogen. The two-photocatalyst system is comprised of H2-catalyst and O2-catalyst to produce hydrogen and oxygen, respectively. Conventionally in Z-scheme, two catalysts are mixed in one reactor to perform photocatalytic water splitting, thus hydrogen and oxygen are produced as a mixture. Thus, the reverse reaction occurs to reduce the efficiency of water splitting. The cost of H2 separation is another drawback. Furthermore, a safety issue of H2-O2 explosion must be consi
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Chang, Chi-He, and 張致和. "A Recursive Frequency-Splitting Scheme for Broadcasting Hot Videos." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/77795543002996354329.

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碩士<br>國立中央大學<br>資訊工程研究所<br>88<br>One way to broadcast a popular/hot video is to let multiple users share a few channels. The stress on the scarce channels can be alleviated without sacrificing viewer waiting time. One common approach is to partition the video into fixed-length segments, which are broadcast on several channels periodically. Two representative approaches are the Fast Broadcasting scheme and the PAGODA scheme , which can broadcast a video using k channels by having new-coming viewers to wait no longer t
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Shangsi, Tsai, and 蔡尚熹. "A kinetic flux vector splitting scheme for the relativisitc gas dynamics." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/20766959622051213756.

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博士<br>國立臺灣大學<br>應用力學研究所<br>90<br>The relativistic kinetic flux vector splitting (KFVS) method is derived based on the special theory of relativity, the relativistic Boltzmann equation and the equilibrium, i.e., the Jüttner-Maxwell distribution function. The numerical first-order and the MUSCL-type second order schemes with van Leer limiters are developed in local rest frame and their counterparts in other inertial moving frames are obtained by Lorentz transformation, whose general transformation matrix is given in Appendix A and is formulated according to the one-dimensional Lorentz transforma
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Cheng, Hao-Yun, and 鄭皓云. "Preparation of Z-scheme Nanoheterostructures and Their Application in Photoelectrochemical Water Splitting." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/91170043068696279240.

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碩士<br>國立交通大學<br>材料科學與工程學系所<br>104<br>With the inherently high degree of complexity, semiconductor nanoheterostructures have exhibited superior synergistic properties that are difficult to acquire from their individual constituents. Particularly, great progress has been made in creating Z-scheme semiconductor-metal-semiconductor nanoheterostructures, in which the vectorial charge transfer scenario may increase the oxidizing and reducing powers for photoconversion applications. In this work, a ZnO nanorod-based Z-scheme nanoheterostrutcure system was proposed and realized for studying the photoe
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Chiang, Yung-Hsiang, and 江永翔. "Preparation of BiVO4 photocatalyst for Oxygen production by Z-scheme overall water splitting." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/33025750420041229724.

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碩士<br>國立東華大學<br>材料科學與工程學系<br>104<br>In this study , we use microwave–assisted to prepare O2 evolution photocatalyst, BiVO4. H2 evolution photocalyst use SSK4Nb6O17. The characterization of as-prepared BiVO4 was carried out by X-ray diffraction (XRD), Field Emission Scanning electron microscope (FE-SEM), ultraviolet-visible analyzer(UV-vis) and Surface Area & Mesopore Analyzer(BET) . In the process of photocatalyst synthesis, regulation of nitric acid concentration, temperature, and time as a different synthetic condition. Synthesis of time increases by the cubic morphology BiVO4 photocatalyst
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Su, Jian-Hau, and 蘇健豪. "Z-scheme overall water splitting over KNb3O8 photocatalyst and visble-light photocatalytic inactivation of E.coli." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/21707401187937046866.

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碩士<br>國立東華大學<br>材料科學與工程學系<br>101<br>The splitting of water into hydrogen and oxygen has been studied extensively, because of energy shortages in recent years. In the first part, this paper use the sol-gel and solid state sintering method to prepare potassium niobate (KNb3O8). We found the sol-gel method can use lower temperature to prepare potassium niobate(KNb3O8),and we can get higher hydrogen production activity. In the second part, we found potassium niobate (KNb3O8) has the highest bactericidal activity with 1wt% Ag by the photodeposition method. And the potassium niobate (KNb3O8) adds di
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Wang, Jyun-Ching, and 王俊清. "A RC-LDPC Coding Scheme Constructed Based on Extension and Splitting with Enhanced Decoding Scheduling." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/as8354.

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碩士<br>國立清華大學<br>通訊工程研究所<br>105<br>Incremental Redundancy Hybrid Automatic Repeat reQuest (IR-HARQ) is a popular scheme to achieve high throughput and be used in many communication systems. The rate-compatible codes are suitable for IR-HARQ and usually can be realized using puncturing, extension or splitting. However, all of them can not provide a satisfactory error performance over a wide range of code rates. In this thesis, the code construction scheme based on low density parity check (RC-LDPC) codes is proposed. In order to achieve a more flexible code construction over a wide range of co
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Yang, Jin-Xiomg, and 楊錦雄. "Synthesis of M/K4Nb6O17 nanosheet (M= Rh, Au,GO）for photocatalytic hydrogen evolution in a Z-scheme water splitting system." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/69711434712149885183.

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碩士<br>國立東華大學<br>材料科學與工程學系<br>104<br>In this study, we used solid state reaction to prepare K4Nb6O17. Then, we used exfoliation method to prepare the nanosheets photocatalyst, NS-K4Nb6O17(NSK). Au, Rh, Graphite oxide(GO) were loaded to NSK as cocatalyst. The photocatalysis activity for H2 evolution in a Z-scheme on M/K4Nb6O17 (M= Au, Rh, GO) photocatalyst is studied. Pt/WO3 was used as O2 evolution photocatalyst. And NaI solution was used as shuttle redox mediator. The light source was a 400W medium-pressure Halogen lamp. The reaction of Z-scheme photocatalysis overall water splitting system w
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31

Singh, Manish Kumar. "LU-SGS Implicit Scheme For A Mesh-Less Euler Solver." Thesis, 2010. https://etd.iisc.ac.in/handle/2005/2397.

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Least Square Kinetic Upwind Method (LSKUM) belongs to the class of mesh-less method that solves compressible Euler equations of gas dynamics. LSKUM is kinetic theory based upwind scheme that operates on any cloud of points. Euler equations are derived from Boltzmann equation (of kinetic theory of gases) after taking suitable moments. The basic update scheme is formulated at Boltzmann level and mapped to Euler level by suitable moments. Mesh-less solvers need only cloud of points to solve the governing equations. For a complex configuration, with such a solver, one can generate a separate cloud
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32

Singh, Manish Kumar. "LU-SGS Implicit Scheme For A Mesh-Less Euler Solver." Thesis, 2010. http://etd.iisc.ernet.in/handle/2005/2397.

Full text
Abstract:
Least Square Kinetic Upwind Method (LSKUM) belongs to the class of mesh-less method that solves compressible Euler equations of gas dynamics. LSKUM is kinetic theory based upwind scheme that operates on any cloud of points. Euler equations are derived from Boltzmann equation (of kinetic theory of gases) after taking suitable moments. The basic update scheme is formulated at Boltzmann level and mapped to Euler level by suitable moments. Mesh-less solvers need only cloud of points to solve the governing equations. For a complex configuration, with such a solver, one can generate a separate cloud
APA, Harvard, Vancouver, ISO, and other styles
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