Academic literature on the topic 'BGK term'

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Journal articles on the topic "BGK term"

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BERTHELIN, F., N. J. MAUSER, and F. POUPAUD. "HIGH-FIELD LIMIT FROM A KINETIC EQUATION TO MULTIDIMENSIONAL SCALAR CONSERVATION LAWS." Journal of Hyperbolic Differential Equations 04, no. 01 (2007): 123–45. http://dx.doi.org/10.1142/s0219891607001094.

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We study the relaxation of kinetic BGK models involving a high-field term within the transport operator. They lead us to multidimensional scalar conservation laws with a flux-function which is perturbed with respect to classical relaxation. The proof of the relaxation limit makes modified Maxwellians to appear. We consider "pseudo distribution functions" which can take negative values and we introduce appropriate admissible states. This is a first step towards adapting this analysis to quantum kinetic BGK models.
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Shi-de, Feng, Ren Rong-cai, Cui Xiao-peng, and Ji Zhong-zhen. "Corrections to the collision term in the BGK Boltzmann equation." Chinese Physics 10, no. 12 (2001): 1106–9. http://dx.doi.org/10.1088/1009-1963/10/12/304.

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DU, RUI, and BAOCHANG SHI. "A NOVEL SCHEME FOR FORCE TERM IN THE LATTICE BGK MODEL." International Journal of Modern Physics C 17, no. 07 (2006): 945–58. http://dx.doi.org/10.1142/s0129183106009461.

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In this paper a novel scheme of the lattice BGK (LBGK) model with a force term has been proposed. Unlike the existing models, an appropriate term was added in the evolutionary equation. Through the Chapman–Enskog (C–E) procedure the Navier–Stokes (N–S) equations with a force term can be recovered with the kinetic viscosity. Three discrete methods of the added term have been discussed in detail. It can be proved that some existing models are the special cases of the model in this paper. We have taken the numerical simulation of the generalized Poiseuille flow driven by a constant force in a cha
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Majorana, Armando. "A BGK model for charge transport in graphene." Communications in Applied and Industrial Mathematics 10, no. 1 (2019): 153–61. http://dx.doi.org/10.1515/caim-2019-0018.

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Abstract The classical Boltzmann equation describes well temporal behaviour of a rarefied perfect gas. Modified kinetic equations have been proposed for studying the dynamics of different type of gases. An important example is the transport equation, which describes the charged particles flow, in the semi-classical regime, in electronic devices. In order to reduce the difficulties in solving the Boltzmann equation, simple expressions of a collision operator have been proposed to replace the standard Boltzmann integral term. These new equations are called kinetic models. The most popular and wi
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LI, Q., Y. L. HE, Y. WANG, and G. H. TANG. "AN IMPROVED THERMAL LATTICE BOLTZMANN MODEL FOR FLOWS WITHOUT VISCOUS HEAT DISSIPATION AND COMPRESSION WORK." International Journal of Modern Physics C 19, no. 01 (2008): 125–50. http://dx.doi.org/10.1142/s0129183108011978.

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An improved lattice Boltzmann model is proposed for thermal flows in which the viscous heat dissipation and compression work by the pressure can be neglected. In the improved model, the whole complicated gradient term in the internal energy density distribution function model is correctly discarded by modifying the velocity moments' condition. The corresponding macroscopic energy equation is exactly derived through Chapman–Enskog expansion. In particular, based on the improved thermal model, a double-distribution-function lattice BGK model is developed for two-dimensional Boussinesq flow, whic
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Chen, Yu, Shulong Teng, Takauki Shukuwa, and Hirotada Ohashi. "Lattice-Boltzmann Simulation of Two-Phase Fluid Flows." International Journal of Modern Physics C 09, no. 08 (1998): 1383–91. http://dx.doi.org/10.1142/s0129183198001254.

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A model with a volumetric stress tensor added to the Navier–Stokes Equation is used to study two-phase fluid flows. The implementation of such an interface model into the lattice-Boltzmann equation is derived from the continuous Boltzmann BGK equation with an external force term, by using the discrete coordinate method. Numerical simulations are carried out for phase separation and "dam breaking" phenomena.
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PHILIPPI, PAULO CESAR, LUIZ ADOLFO HEGELE, RODRIGO SURMAS, DIOGO NARDELLI SIEBERT, and LUÍS ORLANDO EMERICH DOS SANTOS. "FROM THE BOLTZMANN TO THE LATTICE-BOLTZMANN EQUATION: BEYOND BGK COLLISION MODELS." International Journal of Modern Physics C 18, no. 04 (2007): 556–65. http://dx.doi.org/10.1142/s0129183107010796.

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In this work, we present a derivation for the lattice-Boltzmann equation directly from the linearized Boltzmann equation, combining the following main features: multiple relaxation times and thermodynamic consistency in the description of non isothermal compressible flows. The method presented here is based on the discretization of increasingly order kinetic models of the Boltzmann equation. Following a Gross-Jackson procedure, the linearized collision term is developed in Hermite polynomial tensors and the resulting infinite series is diagonalized after a chosen integer N, establishing the or
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Singh, Shiwani, Ganesh Subramanian, and Santosh Ansumali. "A lattice Boltzmann method for dilute polymer solutions." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1944 (2011): 2301–10. http://dx.doi.org/10.1098/rsta.2011.0069.

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We present a lattice Boltzmann approach for the simulation of non-Newtonian fluids. The method is illustrated for the specific case of dilute polymer solutions. With the appropriate local equilibrium distribution, phase-space dynamics on a lattice, driven by a Bhatnagar–Gross–Krook (BGK) relaxation term, leads to a solution of the Fokker–Planck equation governing the probability density of polymer configurations. Results for the bulk rheological characteristics for steady and start-up shear flow are presented, and compare favourably with those obtained using Brownian dynamics simulations. The
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Xing, Liming, Haifei Liu, Yu Ding, and Wei Huang. "Numerical Modeling of Wave-Current Flow around Cylinders Using an Enhanced Equilibrium Bhatnagar-Gross-Krook Scheme." Mathematical Problems in Engineering 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/8516879.

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Flow around cylinders is a classic issue of fluid mechanics and it has great significance in engineering fields. In this study, a two-dimensional hydrodynamic lattice Boltzmann numerical model is proposed, coupling wave radiation stress, bed shear stress, and wind shear stress, which is able to simulate wave propagation of flow around cylinders. It is based on shallow water equations and a weight factor is applied for the force term. An enhanced equilibrium Bhatnagar-Gross-Krook (BGK) scheme is developed to treat the wave radiation stress term in collision step. This model is tested and verifi
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Vanderhoydonc, Ynte, and Wim Vanroose. "Constrained Runs Algorithm as a Lifting Operator for the One-Dimensional in Space Boltzmann Equation with BGK Collision Term." Multiscale Modeling & Simulation 14, no. 4 (2016): 1488–512. http://dx.doi.org/10.1137/140983549.

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Dissertations / Theses on the topic "BGK term"

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Champmartin, Aude. "Modélisation et étude numérique d'écoulements diphasiques : Modélisation d’un écoulement homogène équilibré : Modélisation des collisions entre gouttelettes à l’aide d’un modèle simplifié de type BGK." Thesis, Cachan, Ecole normale supérieure, 2011. http://www.theses.fr/2011DENS0007/document.

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Cette thèse décrit la modélisation et la simulation de systèmes à deux phases composées de particules évoluant dans un gaz. Les deux phases interagissent entre elles et le type de modèle à considérer dépend directement du type de simulations envisagées. Dans une première partie, les deux phases sont considérées comme des fluides, elles sont décrites à l’aide d’un modèle de mélange avec une relation de dérive (permettant de suivre une vitesse relative entre les deux phases et de prendre en compte deux vitesses) et sont supposées à l’équilibre en température et pression. Cette partie du manuscri
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Pilař, Tomáš. "Řízení pohledávek firmy BAK, a.s." Master's thesis, Vysoká škola ekonomická v Praze, 2008. http://www.nusl.cz/ntk/nusl-17211.

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This thesis deals with the management of the receivables of BAK,Inc. In the theoretical part are characterized receivables from the perspective of legal, accounting and tax. Further is described the management of receivables and this description is based on the elements of management of receivables, ie analysis of customers, terms of trade, recovery of receivables and, finally, monitoring the status and trends of the receivables. The core of this work is the description of the specific receivables management system in BAK, Inc., which is divided into two fundamental dimensions, namely the prev
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Champmartin, Aude. "Modélisation et étude numérique d'écoulements diphasiques : Modélisation d'un écoulement homogène équilibré : Modélisation des collisions entre gouttelettes à l'aide d'un modèle simplifié de type BGK." Phd thesis, École normale supérieure de Cachan - ENS Cachan, 2011. http://tel.archives-ouvertes.fr/tel-00598571.

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Cette thèse décrit la modélisation et la simulation de systèmes à deux phases composées de particules évoluant dans un gaz. Les deux phases interagissent entre elles et le type de modèle à considérer dépend directement du type de simulations envisagées. Dans une première partie, les deux phases sont considérées comme des fluides, elles sont décrites à l'aide d'un modèle de mélange avec une relation de dérive (permettant de suivre une vitesse relative entre les deux phases et de prendre en compte deux vitesses) et sont supposées à l'équilibre en température et pression. Cette partie du manuscri
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Tan, Yin-Yen, and 陳韻圓. "Effects of Short-term Applying Chicken Manure-Derived Biochar on the Yields and Copper and Zinc Uptake of Bok Choy(Brassica rapa L.)." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/97060813829581830289.

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碩士<br>國立臺灣大學<br>農業化學研究所<br>104<br>Poultry farming produces a large amount of litter, which has caused waste management challenges in Taiwan. A potential strategy to effectively deal with poultry litter is to produce poultry-litter biochar, which may provide environmental and economic benefits including the improvement of soil fertility and quality, the increase of crop productivity, sorbent for organic and inorganic contaminants, and the increase of soil carbon sequestration effect. However, the effects of short-term applying chicken manure-derived biochar on the yields, the amount of crops up
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Schmelev, Sofia. "BKV-Infektion bei nierentransplantierten Patienten - eine retrospektive Analyse vor und nach Etablierung eines Screeningverfahrens." Doctoral thesis, 2021. http://hdl.handle.net/21.11130/00-1735-0000-0005-1564-3.

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Books on the topic "BGK term"

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Reingardt, Isabel. Das Schriftformerfordernis nach [Paragraph] 550 BGB. PL Academic Research, 2013.

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Ulmer, Peter. AGB-Recht: Kommentar zu den [Paragraphen] 305-310 BGB und zum Unterlassungsklagengesetz. Otto Schmidt, 2006.

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Kjv Comp Ref Team COL Yel/blk. Zondervan, 2004.

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VOB: Verdingungsordnung fur Bauleistungen : Teil A und B : mit den EWG-Richtlinien von 1973, BGB [Paragraphen] 631-651 : Verdingungsordnung fur Leistungen, ... und Bautragerverordnung (Beck-Texte im dtv). 9th ed. Deutscher Taschenbuch Verlag, 1988.

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Hendrik, Dr, Haag. 15 Germany. Oxford University Press, 2018. http://dx.doi.org/10.1093/law/9780198808589.003.0015.

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This chapter examines statutory and contractual set-off in Germany prior to insolvency proceedings and how such proceedings affect the prerequisites relating to set-off. It begins with a discussion of set-off between solvent parties, focusing on the statutory right of set-off under the German civil code ‘BGB’, contractual right of set-off, exclusions of set-off, set-off restriction in general terms and conditions, and limitations of a set-off claim. It then considers set-off against insolvent parties, taking into account the relevant provisions of the German Insolvency Statute ‘InsO’, acquisit
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Dr, Werner Ulrich, and Pastor Walter 1939-, eds. VOB: Verdingungsordnung für Bauleistungen : Teil A und B : mit den EWG-Richtlinien von 1973, BGB [Paragraphen] 631-651 : Verdingungsordnung für Leistungen, ausgenommen Bauleistungen, Teil A und B (VOL), AGB-Gesetz : Verordnung über die Honorare für Leistungen der Architekten und der Ingenieure (HOAI) : Makler- und Bauträgerverordnung. 9th ed. Deutscher Taschenbuch Verlag, 1988.

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Book chapters on the topic "BGK term"

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Broda, Sabine, and Luís Damas. "On Principal Types of BCK-λ-Terms." In Logic, Language, Information and Computation. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-73445-1_9.

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McIsaac, C. V., and D. G. Keefer. "Reactor Building Source Term Measurements." In ACS Symposium Series. American Chemical Society, 1986. http://dx.doi.org/10.1021/bk-1986-0293.ch009.

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Klein, Richard M., and Timothy D. Perkins. "Long-Term Fates of Declining Forests." In ACS Symposium Series. American Chemical Society, 1992. http://dx.doi.org/10.1021/bk-1992-0483.ch019.

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Kerr, N., T. Jennings, and E. Méthé. "Long-Term Stability of Cellulosic Textiles." In ACS Symposium Series. American Chemical Society, 1989. http://dx.doi.org/10.1021/bk-1989-0410.ch010.

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Van Voris, P., D. A. Cataldo, C. E. Cowan, et al. "Long-Term Controlled Release of Herbicides." In ACS Symposium Series. American Chemical Society, 1988. http://dx.doi.org/10.1021/bk-1988-0371.ch018.

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Zhou, Marvellous, Collins Kimbeng, Serge Edme, Anna Hale, Ryan Viator, and Gillian Eggleston. "Sustainability of Low Starch Concentrations in Sugarcane through Short-Term Optimized Amylase and Long-Term Breeding Strategies." In ACS Symposium Series. American Chemical Society, 2010. http://dx.doi.org/10.1021/bk-2010-1058.ch014.

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Adams, Stephen R. "Introduction to Agrochemical Patent Term Extensions in Europe." In ACS Symposium Series. American Chemical Society, 2020. http://dx.doi.org/10.1021/bk-2020-1362.ch008.

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Ahilan, Sangaralingam, Mingfu Guan, and Nigel Wright. "Evaluating the hydraulic and hydro-morphodynamic performance of blue–green infrastructure over event and long-term timescales." In Blue–Green Cities. ICE Publishing, 2020. http://dx.doi.org/10.1680/bgc.64195.051.

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Williams, Gary M. "Liver Cell Short-Term Tests for Food-Borne Carcinogens." In ACS Symposium Series. American Chemical Society, 1992. http://dx.doi.org/10.1021/bk-1992-0484.ch007.

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Miller, Edward G., Reed P. Gibbins, Samuel E. Taylor, Jame E. McIntosh, and Bhimanagouda S. Patil. "Long-Term Screening Study on the Potential Toxicity of Limonoids." In ACS Symposium Series. American Chemical Society, 2006. http://dx.doi.org/10.1021/bk-2006-0936.ch006.

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Conference papers on the topic "BGK term"

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Aguinaga, Sylvain, Olivier Simonin, Jacques Bore´e, and Vincent Herbert. "A Simplified Particle-Turbulence Interaction PDF Model: Application to Deposition Modelling in Turbulent Boundary Layer." In ASME 2009 Fluids Engineering Division Summer Meeting. ASMEDC, 2009. http://dx.doi.org/10.1115/fedsm2009-78128.

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This paper presents a new PDF model for turbulent fluid-particles interactions in the near wall region. Such models have already been presented by Swailes &amp; Reeks [1] or more recently by Van Dijk &amp; Swailes [2]. The PDF approach allows calculating directly the spatial evolution of the wall normal particles velocity distribution. As shown by Swailes &amp; Reeks [1] this approach as many advantages. First, all the statistical moments used (concentration, mean velocity, fluctuating velocities) are contained in the PDF. Thus all the equations for those moments are coupled together within th
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Silva, Ernane, Cesar J. Deschamps, and Marcos Rojas-Cárdenas. "Mass Flow Rate Measurements Through Metallic Microtubes in the Slip and Transition Regimes." In ASME 2015 13th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2015 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/icnmm2015-48054.

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The exchange of momentum and energy in gas flows through microchannels is significantly influenced by the gas-surface interaction. At this scale often the gas is rarefied and therefore non-equilibrium effects in the fluid flow can arise in a layer which extends for a distance equivalent to the mean free path from the walls. Typical examples of non-equilibrium phenomena for rarefied gas flows are slip at the wall, thermal transpiration and temperature jump at the wall. The aim of the present study is to experimentally investigate the non-equilibrium effects present in an isothermal pressure ind
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Zhang, Ying, and Mallik Tatipamula. "A Comprehensive Long-Term Evaluation on BGP Performance." In ICC 2011 - 2011 IEEE International Conference on Communications. IEEE, 2011. http://dx.doi.org/10.1109/icc.2011.5962883.

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Michalowska, Krystyna, Ewa Glowienka, and Beata Hejmanowska. "Remote Sensing Methods in the Study of the Impact of Long-Term Process of Sulphur Mining on Environmental Changes of the Carpathian Foreland." In 2017 Baltic Geodetic Congress (BGC Geomatics). IEEE, 2017. http://dx.doi.org/10.1109/bgc.geomatics.2017.80.

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Bodini, Olivier, and Bernhardt Gittenberger. "On the asymptotic number of BCK(2)-terms." In 2014 Proceedings of the Eleventh Workshop on Analytic Algorithmics and Combinatorics (ANALCO). Society for Industrial and Applied Mathematics, 2013. http://dx.doi.org/10.1137/1.9781611973204.3.

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Lee, Ouk Sub, No Hoon Myoung, and Dong Hyeok Kim. "Reliability Evaluation of BGA Solder Joints by Using Thermal Fatigue Models." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80651.

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The use of Ball Grid Array (BGA) interconnects utilizing the BGA solder joint has grown rapidly because of its small volume and diversity of its application. Therefore, the continuous quantification and refinement of BGA solder joint in terms of its reliability are required. The creep and cyclically applied mechanical loads generally cause metal fatigue on the BGA solder joint which inevitably leads to an electrical discontinuity. In the field application, the BGA solder joints are known to experience mechanical loads during temperature changes caused by power up/down events as the result of t
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Nourmohammadzadeh, Mohammad, Mohammad Rahnama, Saeed Jafari, and Alirez Akhgar. "Simulation of Microchannel Flows Using Higher Order Lattice Boltzmann With an Effective Mean Free Path." In ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2011. http://dx.doi.org/10.1115/icnmm2011-58236.

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Microscale flow simulation is considered in this paper for a microchannel flow geometry. Higher order Lattice Boltzmann Model was used as the numerical method for flow simulation, in which an effective mean free path was used in relaxation time appeared in LBM. To accurately describe rarefied gas dynamics beyond the Navier-Stokes level, high-order LB models have been used. One reason the standard lattice BGK model fails to capture the nonlinear constitutive behavior is that it only retains velocity terms up to second order in the Hermite expansion of the equilibrium distribution function. This
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Rangi, Anshuka, Massimo Franceschetti, and Long Tran-Thanh. "Unifying the Stochastic and the Adversarial Bandits with Knapsack." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/459.

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This work investigates the adversarial Bandits with Knapsack (BwK) learning problem, where a player repeatedly chooses to perform an action, pays the corresponding cost of the action, and receives a reward associated with the action. The player is constrained by the maximum budget that can be spent to perform the actions, and the rewards and the costs of these actions are assigned by an adversary. This setting is studied in terms of expected regret, defined as the difference between the total expected rewards per unit cost corresponding the best fixed action and the total expected rewards per
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Graf, Reinhold, Wolfgang Filbert, Klaus-Ju¨rgen Brammer, and Wilhelm Bollingerfehr. "Disposal of Spent Fuel From German Nuclear Power Plants." In ASME 2009 12th International Conference on Environmental Remediation and Radioactive Waste Management. ASMEDC, 2009. http://dx.doi.org/10.1115/icem2009-16028.

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The “direct disposal of spent fuel” as a part of the current German reference concept was developed as an alternative to spent fuel reprocessing and vitrified HLW disposal. The technical facilities necessary for the implementation of this part of the reference concept, the so called POLLUX® concept, i.e. interim storage buildings for casks containing spent fuel, a pilot conditioning facility, and a special cask “POLLUX” for final disposal have been built. With view to a geological salt formation all handling procedures for the direct disposal of spent fuel were tested aboveground in full-scale
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Qian, Zhengfang, and Joe Tomase. "Analytical Solution for BGA Modules Under Thermal/Mechanical Loading." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62073.

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This paper presents an advanced approach to obtain analytical solutions for BGA-type package or module under both thermal loading and mechanical bending. The theoretical framework is based on two-dimensional theory of plate pure bending. Solder joint shear strain distribution has been derived analytically. Specifically, the joint strain has been correlated with measured board strain. The approach developed and analytical solutions obtained are very useful for rapid component qualification in terms of solder joint reliability.
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Reports on the topic "BGK term"

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Humphrey, Watts S., Timothy A. Chick, William Nichols, and Marsha Pomeroy-Huff. Team Software Process (TSP) Body of Knowledge (BOK). Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada634307.

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Biegelbauer, Peter, Christian Hartmann, Wolfgang Polt, Anna Wang, and Matthias Weber. Mission-Oriented Innovation Policies in Austria – a case study for the OECD. JOANNEUM RESEARCH Forschungsgesellschaft mbH, 2020. http://dx.doi.org/10.22163/fteval.2020.493.

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In recent years, mission-oriented approaches have received growing interest in science, technology and innovation (STI) policies against the background of two developments. First, while so-called “horizontal” or “generic” approaches to research, technology and innovation policies have largely been successful in improving the general innovation performance or the rate of innovation, there are perceived limitations in terms of insufficiently addressing the direction of technological change and innovation. Second, “grand societal challenges” emerged on policy agendas, such as climate change, secu
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Gas chromatograms from the following 7 North Slope wells: Aufeis Unit #1, Shaviovik Unit #1, Toolik Fed #1, Canning River Unit Blk A #1, West Kuparuk State 3-11-11, Drew Pt. #1, and OCS Y-0195-1 (Tern Island #1). Alaska Division of Geological & Geophysical Surveys, 1990. http://dx.doi.org/10.14509/19002.

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