Relevant bibliographies by topics / Lattice agreement

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Lattice agreement'

Author: Grafiati
Published: 15 March 2025

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Journal articles on the topic "Lattice agreement"

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Attiya, Hagit, Maurice Herlihy, and Ophir Rachman. "Atomic snapshots using lattice agreement." Distributed Computing 8, no. 3 (March 1995): 121–32. http://dx.doi.org/10.1007/bf02242714.

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Lycett-Brown, Daniel, Ilya Karlin, and Kai H. Luo. "Droplet Collision Simulation by a Multi-Speed Lattice Boltzmann Method." Communications in Computational Physics 9, no. 5 (May 2011): 1219–34. http://dx.doi.org/10.4208/cicp.311009.091110s.

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AbstractRealization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices. The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers. Results are found to be in a good agreement with experimental findings.
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Li, Ning, and Ya-Jie Wu. "Mass spectra of Ds meson from Nf = 2 twisted mass lattice QCD." Modern Physics Letters A 30, no. 11 (April 2, 2015): 1550060. http://dx.doi.org/10.1142/s0217732315500601.

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In this paper, we study the mass spectra of Ds mesons, such as Ds, [Formula: see text] and Ds1. In the simulation, we use Nf = 2 twisted mass lattice QCD gauge configurations generated by the European Twisted Mass Collaboration (ETMC). The simulation is performed on lattices with lattice spacings a = 0.067 fm and lattice size 323×64, and a = 0.085 fm and lattice size 243×48, respectively. Our numerical results for the mass spectra of Ds mesons reached impressive agreement with the experimental data.
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AKTEKIN, N., Ş. ERKOÇ, and M. KALAY. "THE TEST OF THE FINITE-SIZE SCALING RELATIONS FOR THE FIVE-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON." International Journal of Modern Physics C 10, no. 07 (October 1999): 1237–45. http://dx.doi.org/10.1142/s0129183199001005.

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The five-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4≤L≤16. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical temperature are computed to be 2.52(7) and 1.25(11) using 6≤L≤12, respectively, which are in very good agreement with the Monte Carlo results and with the theoretical predictions of 5/2 and 5/4. The critical temperature for the infinite lattice is found to be 8.779(8) using 8≤L≤16 which is also in very good agreement with the recent precise results.
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Kia, Behnam, Sarvenaz Kia, John F. Lindner, Sudeshna Sinha, and William L. Ditto. "Coupling Reduces Noise: Applying Dynamical Coupling to Reduce Local White Additive Noise." International Journal of Bifurcation and Chaos 25, no. 03 (March 2015): 1550040. http://dx.doi.org/10.1142/s0218127415500406.

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We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices and assume noise is white and additive. Noise from different lattice nodes can diffuse across the lattice and lower the noise level of individual nodes. We develop a theoretical model that explains this observed noise evolution and show how the coupled dynamics can naturally function as an averaging filter. Our numerical simulations are in excellent agreement with the model predictions.
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MA, J. P. "A STUDY OF GLUON PROPAGATOR ON COARSE LATTICE." Modern Physics Letters A 15, no. 04 (February 10, 2000): 229–44. http://dx.doi.org/10.1142/s0217732300000220.

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We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume from (2.40 fm )4 to (4.0 fm )4. We find that the rotation invariance is approximately restored in the q2-range, indicated by the fact that the propagator is a smooth function of the continuum momentum q2. We try to fit our results by two different ways, in the first one we interpret the calculated gluon propagators as a function of the continuum momentum, while in the second we interpret the propagators as a function of the lattice momentum. In both cases we use models which are the same in continuum limit. A qualitative agreement between two fittings is found.
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KALAY, M., and Z. MERDAN. "THE FINITE-SIZE SCALING STUDY OF THE SPECIFIC HEAT AND THE BINDER PARAMETER FOR THE FIVE-DIMENSIONAL ISING MODEL." Modern Physics Letters B 21, no. 28 (December 10, 2007): 1923–31. http://dx.doi.org/10.1142/s0217984907014279.

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The five-dimensional Ising model with nearest-neighbor pair interactions is simulated on the Creutz cellular automaton by using finite-size lattices with the linear dimensions L=4, 6, 8, 10, 12, 14, and 16. The temperature variations and the finite-size scaling plots of the specific heat and Binder parameter verify the theoretically-predicted expression near the infinite-lattice critical temperature. The approximate values for the critical temperature of the infinite-lattice, T c =8.8063, T c =8.7825 and T c =8.7572, are obtained from the intersection points of specific heat curves, Binder parameter curves and the straight line fit of specific heat maxima, respectively. These results are in agreement with the more precise value of T c =8.7787. The value obtained for the critical exponent of the specific heat, i.e. α=0.009, is also in agreement with α=0 predicted by the theory.
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Mataev, Muhkametkali, Moldir Abdraimova, and A. Atabay. "Synthesis and X-ray analysis of complex ferrite YbBiNaFe2O6,5." Chemical Bulletin of Kazakh National University, no. 2 (June 30, 2017): 14–17. http://dx.doi.org/10.15328/cb805.

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The complex oxide phase of the composition YbBiNaFe2O6,5 was synthesized by the high-temperature solid-phase reaction. X-ray diffraction analysis was used to study the structure for the first time; the type of syngony, unit cell parameters, X-ray diffraction and pycnometric densities were determined. X-ray diffraction was carried out by homology method from the initial fluorite structure δBi2O3. The method of least squares refined the parameters of the crystal lattice. The parameters of the orthorhombic lattice of complex mixed ferrite at the value of the number of formula units Z=4 are: a=5.2319, в=5.2186, с=7.5702 Å. The correctness of the results of the X-ray diffraction of complex mixed ferrite was confirmed by the good agreement between the experimental and calculated values of the inverse squares of the interplanar distances (104/d2). Satisfactory consistency of the values of the X-ray and pycnometric densities, ρrad = 8.335, ρpik = 8.328 g/cm3, proves the correctness of the results of the experiment. A comparative analysis of the interrelation between the parameters of the crystal lattice and the parameters of the crystal lattices of the initial oxide δBi2O3. The analysis shows the values of the parameters “a” and “c” are in satisfactory agreement with the parameters of the crystal lattice δBi2O3, the parameter “c” is distorted from the value of the parameter “a” on √2.
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Merdan, Ziya, Mehmet Bayirli, and Mustafa Kemal Ozturk. "The Finite-Size Scaling Study of the Specific Heat and the Binder Parameter of the Two-Dimensional Ising Model for the Fractals Obtained by Using the Model of Diffusion-Limited Aggregation." Zeitschrift für Naturforschung A 64, no. 12 (December 1, 2009): 849–54. http://dx.doi.org/10.1515/zna-2009-1212.

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The two-dimensional Ising model with nearest-neighbour pair interactions is simulated on the Creutz cellular automaton by using the finite-size lattices with the linear dimensions L = 80, 120, 160, and 200. The temperature variations and the finite-size scaling plots of the specific heat and the Binder parameter verify the theoretically predicted expression near the infinite lattice critical temperature. The approximate values for the critical temperature of the infinite lattice Tc = 2.287(6), Tc = 2.269(3), and Tc =2.271(1) are obtained from the intersection points of specific heat curves, Binder parameter curves, and the straight line fit of specific heat maxima, respectively. These results are in agreement with the theoretical value (Tc =2.269) within the error limits. The values obtained for the critical exponent of the specific heat, α = 0.04(25) and α = 0.03(1), are in agreement with α = 0 predicted by the theory. The values for the Binder parameter by using the finite-size lattices with the linear dimension L = 80, 120, 160, and 200 at Tc = 2.269(3) are calculated as gL(Tc) = −1.833(5), gL(Tc) = −1.834(3), gL(Tc) = −1.832(2), and gL(Tc) = −1.833(2), respectively. The value of the infinite lattice for the Binder parameter, gL(Tc) = −1.834(11), is obtained from the straight line fit of gL(Tc) = −1.833(5), gL(Tc) = −1.834(3), gL(Tc) = −1.832(2), and gL(Tc) = −1.833(2) versus L = 80, 120, 160, and 200, respectively
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Attiya, Hagit, and Arie Fouren. "Adaptive and Efficient Algorithms for Lattice Agreement and Renaming." SIAM Journal on Computing 31, no. 2 (January 2001): 642–64. http://dx.doi.org/10.1137/s0097539700366000.

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Dissertations / Theses on the topic "Lattice agreement"

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Souza, Luciano Freitas de. "Achieving accountability, reconfiguration, randomness, and secret leadership in byzantine fault tolerant distributed systems." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. http://www.theses.fr/2024IPPAT043.

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Cette thèse explore trois problèmes fondamentaux en informatique distribuée. La première contribution porte sur les systèmes repartis responsables et reconfigurables qui détectent et répondent aux défaillances des composants. Un cadre pour l’implémentation de services répliqués responsables et reconfigurables, en tirant parti de l’abstraction de l’accord de treillis est présente. L’implémentation asynchrone garantit que toute violation de la cohérence est suivie par une preuve indéniable de mauvaise conduite, permettant une reconfiguration transparente du système. La deuxième contribution aborde l’ élection de leader dans des environnements partiellement synchrones. Le Tirage au Sort Homomorphe, le premier protocole SSLE pour les blockchains partiellement synchrones est introduite. En utilisant le Chiffrement Totalement Homomorphe à Seuil (ThFHE), ce protocole prend en charge diverses distributions d’enjeu et une exécution hors chaîne efficace, résolvant les problèmes d’instabilité du réseau. De plus, une abstraction de Permutation de Leader Secrète (SLP) pour assurer des leaders non répétitifs dans certaines blockchains, améliorant les performances et la terminaison du consensus est proposée. Enfin, la thèse explore la génération de nombres aléatoires dans les systèmes distribués, en se concentrant sur la primitive de la pièce commune. Reconnaissant son impossibilité dans des environnements asynchrones sujets aux pannes, deux versions assouplies sont introduites : la pièce commune approximative et la pièce commune de Monte Carlo. Ces abstractions fournissent des solutions efficaces et évolutives, tolérant jusqu’ à un tiers de processus byzantins sans nécessiter de setup de confiance ou d’infrastructure à clé publique. En appliquant notre protocole de pièce commune de Monte Carlo dans l’accord binaire byzantin, j’obtiens une complexité de communication améliorée, établissant une nouvelle référence. Toutes ces contributions font progresser la robustesse, l’efficacité et la fiabilité des systèmes repartis, en fournissant de nouvelles méthodes pour gérer la responsabilité, l’élection de leader et la génération de nombres aléatoires dans les systèmes sans synchronie
This thesis explores three fundamental problems in distributed computing. The first contribution focuses on accountable and reconfigurable distributed systems that detect and respond to component failures. A framework for implementing accountable and reconfigurable replicated services, leveraging the lattice agreement abstraction is presented. The asynchronous implementation ensures any consistency violation is followed by undeniable evidence of misbehavior, enabling seamless system reconfiguration. The second contribution addresses leader election in partially synchronous environments. Homomorphic Sortition, the first SSLE protocol for partially synchronous blockchains is introduced. Using Threshold Fully Homomorphic Encryption (ThFHE), this protocol supports diverse stake distributions and efficient off-chain execution, addressing network instability issues. Additionally, a Secret Leader Permutation (SLP) abstraction to ensure non-repeating leaders in certain blockchains, improving performance and consensus termination is proposed. Finally, the thesis explores randomness generation in distributed systems, focusing on the common coin primitive. Recognizing its impossibility in asynchronous, fault-prone environments, two relaxed versions are introduced: the approximate common coin and the Monte Carlo common coin. These abstractions provide efficient, scalable solutions tolerating up to one-third Byzantine processes without requiring trusted setup or public key infrastructure. Applying our Monte Carlo common coin protocol in binary Byzantine agreement achieves improved communication complexity, setting a new standard. All these contributions advance the robustness, efficiency, and reliability of distributed systems, providing new methods to handle accountability, leader election, and randomness generation in the lack of synchrony
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Lippold, Georg. "Encryption schemes and key exchange protocols in the certificateless setting." Thesis, Queensland University of Technology, 2010. https://eprints.qut.edu.au/41697/1/Georg_Lippold_Thesis.pdf.

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The contributions of this thesis fall into three areas of certificateless cryptography. The first area is encryption, where we propose new constructions for both identity-based and certificateless cryptography. We construct an n-out-of- n group encryption scheme for identity-based cryptography that does not require any special means to generate the keys of the trusted authorities that are participating. We also introduce a new security definition for chosen ciphertext secure multi-key encryption. We prove that our construction is secure as long as at least one authority is uncompromised, and show that the existing constructions for chosen ciphertext security from identity-based encryption also hold in the group encryption case. We then consider certificateless encryption as the special case of 2-out-of-2 group encryption and give constructions for highly efficient certificateless schemes in the standard model. Among these is the first construction of a lattice-based certificateless encryption scheme. Our next contribution is a highly efficient certificateless key encapsulation mechanism (KEM), that we prove secure in the standard model. We introduce a new way of proving the security of certificateless schemes based that are based on identity-based schemes. We leave the identity-based part of the proof intact, and just extend it to cover the part that is introduced by the certificateless scheme. We show that our construction is more efficient than any instanciation of generic constructions for certificateless key encapsulation in the standard model. The third area where the thesis contributes to the advancement of certificateless cryptography is key agreement. Swanson showed that many certificateless key agreement schemes are insecure if considered in a reasonable security model. We propose the first provably secure certificateless key agreement schemes in the strongest model for certificateless key agreement. We extend Swanson's definition for certificateless key agreement and give more power to the adversary. Our new schemes are secure as long as each party has at least one uncompromised secret. Our first construction is in the random oracle model and gives the adversary slightly more capabilities than our second construction in the standard model. Interestingly, our standard model construction is as efficient as the random oracle model construction.
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Books on the topic "Lattice agreement"

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New Free Trade Agreements in the Asia-Pacific: Towards Lattice Regionalism? Palgrave Macmillan, 2006.

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Book chapters on the topic "Lattice agreement"

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Attiya, Hagit, Maurice Herlihy, and Ophir Rachman. "Efficient atomic snapshots using lattice agreement." In Distributed Algorithms, 35–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/3-540-56188-9_3.

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Wang, Jinhua, Ting Chen, Yanyan Liu, Yu Zhou, and XinFeng Dong. "Efficient Two-Party Authentication Key Agreement Protocol Using Reconciliation Mechanism from Lattice." In Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 32–47. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30623-5_3.

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Gupta, Daya Sagar. "A Mutual Authentication and Key Agreement Protocol for Smart Grid Environment Using Lattice." In Algorithms for Intelligent Systems, 239–48. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-6893-7_22.

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Singh, Ajeet, Appala Naidu Tentu, and K. Gangadhara Rao. "PQS-AKA: Post-Quantum Secure Lightweight Authenticated Lattice-Based Key Agreement for IoT Communications." In Lecture Notes in Networks and Systems, 503–14. Singapore: Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-97-5703-9_42.

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Attiya, Hagit, Sweta Kumari, Archit Somani, and Jennifer L. Welch. "Store-Collect in the Presence of Continuous Churn with Application to Snapshots and Lattice Agreement." In Lecture Notes in Computer Science, 1–15. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-64348-5_1.

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Cole, Richard, and Peter Becker. "Agreement Contexts in Formal Concept Analysis." In Concept Lattices, 172–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24651-0_16.

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Rüttgers, Mario, Seong-Ryong Koh, Jenia Jitsev, Wolfgang Schröder, and Andreas Lintermann. "Prediction of Acoustic Fields Using a Lattice-Boltzmann Method and Deep Learning." In Lecture Notes in Computer Science, 81–101. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59851-8_6.

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Abstract Using traditional computational fluid dynamics and aeroacoustics methods, the accurate simulation of aeroacoustic sources requires high compute resources to resolve all necessary physical phenomena. In contrast, once trained, artificial neural networks such as deep encoder-decoder convolutional networks allow to predict aeroacoustics at lower cost and, depending on the quality of the employed network, also at high accuracy. The architecture for such a neural network is developed to predict the sound pressure level in a 2D square domain. It is trained by numerical results from up to 20,000 GPU-based lattice-Boltzmann simulations that include randomly distributed rectangular and circular objects, and monopole sources. Types of boundary conditions, the monopole locations, and cell distances for objects and monopoles serve as input to the network. Parameters are studied to tune the predictions and to increase their accuracy. The complexity of the setup is successively increased along three cases and the impact of the number of feature maps, the type of loss function, and the number of training data on the prediction accuracy is investigated. An optimal choice of the parameters leads to network-predicted results that are in good agreement with the simulated findings. This is corroborated by negligible differences of the sound pressure level between the simulated and the network-predicted results along characteristic lines and by small mean errors.
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Dent, Christopher M. "New FTAs in the Asia-Pacific: Towards Lattice Regionalism?" In New Free Trade Agreements in the Asia-Pacific, 203–59. London: Palgrave Macmillan UK, 2006. http://dx.doi.org/10.1057/9780230627918_4.

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van Staden, Wynand, and Martin S. Olivier. "Using Purpose Lattices to Facilitate Customisation of Privacy Agreements." In Trust, Privacy and Security in Digital Business, 201–9. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-74409-2_22.

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Sugiyama, G., and B. J. Alder. "Ground-state properties of metallic lithium." In Quantum Monte Carlo, 64. Oxford University PressNew York, NY, 2007. http://dx.doi.org/10.1093/oso/9780195310108.003.0067.

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Abstract As reported in this paper, both variational and fixed-node diffusion QMC calculations were used to determine electronic properties for bulk lithium. The calculations were carried out for cubic supercells containing lithium nuclei at fixed sites in body-centered cubic and face-centered cubic lattice structures with up to 108 atoms. The trial functions for importance sampling were constructed in two forms: one with Gaussian plane-wave functions and the other with more complex augmented plane-wave functions. Slightly lower energies were obtained in variational QMC for the Gaussian form, and equivalent results were obtained in fixed-node diffusion Q1,1C for the two forms. Simple spherical trial functions gave significantly higher energies for compressed systems. Energies, pair distribution functions, and electron densities were investigated for crystal densities ranging from about 0.25 to 90 times the densities at normal pressures. The variation of cohesive energy with density was found in reasonable agreement with experimental results in calculations using the larger numbers of atoms in the supercell. The lattice constants were also in good agreement for these cases. In general, this paper showed that fixed-node diffusion calculations were feasible for metallic systems and could be competitive with alternative methods.
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Conference papers on the topic "Lattice agreement"

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Ashok, Shreyas, and Juergen Rauleder. "Towards Real-Time Coupled Ship-Rotorcraft Interactional Simulations using GPU-Accelerated Lattice-Boltzmann Method." In Vertical Flight Society 80th Annual Forum & Technology Display, 1–21. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1346.

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Many traditional ship-rotorcraft interactional simulation approaches, including those used for pilot training, use a one-way coupling between aerodynamics and flight dynamics. In a one-way coupled method, the standalone ship airwake is superimposed on the rotor, modifying its inflow. However, because the rotor wake does not alter the ship airwake in such a simulation, one-way coupling may not capture all relevant phenomena, such as dynamic ground and wall effects; two-way fully-coupled simulations may be needed. In this study, one- and two-way coupled realtime and near-real-time simulation models of the ship-rotorcraft problem were developed using a GPU-accelerated Lattice-Boltzmann Method (LBM) flow field solver. Comparing flow fields and rotor hub loads, the two-way coupled simulations showed good agreement with new ship-rotor experimental data from Georgia Tech. Real-time full-scale rotorcraft ship approach maneuvers of a notional UH-60A landing on the NATO Generic Destroyer were conducted using a flight controller, and the results showed significant differences in flight control inputs between one- and two-way coupling methods. On the other hand, the presence of ship motion was found to have little effect on the control inputs. The study proved the feasibility of real-time fully-coupled ship-rotorcraft flow field simulations, achieving real-time performance on a single GPU node, and it paves the way for fully-coupled LBM pilot-in-the-loop flight simulation trials.
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Falerio, Jose M., Sriram Rajamani, Kaushik Rajan, G. Ramalingam, and Kapil Vaswani. "Generalized lattice agreement." In the 2012 ACM symposium. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2332432.2332458.

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Di Luna, Giuseppe Antonio, Emmanuelle Anceaume, and Leonardo Querzoni. "Byzantine Generalized Lattice Agreement." In 2020 IEEE International Parallel and Distributed Processing Symposium (IPDPS). IEEE, 2020. http://dx.doi.org/10.1109/ipdps47924.2020.00075.

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Di Luna, Giuseppe Antonio, Emmanuelle Anceaume, Silvia Bonomi, and Leonardo Querzoni. "Synchronous Byzantine Lattice Agreement in O(log(f) Rounds." In 2020 IEEE 40th International Conference on Distributed Computing Systems (ICDCS). IEEE, 2020. http://dx.doi.org/10.1109/icdcs47774.2020.00056.

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Attiya, Hagit, and Arie Fouren. "Adaptive wait-free algorithms for lattice agreement and renaming (extended abstract)." In the seventeenth annual ACM symposium. New York, New York, USA: ACM Press, 1998. http://dx.doi.org/10.1145/277697.277749.

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Sun, Jinjuan, Jianying Gong, Guojun Li, and Tieyu Gao. "Lattice Boltzmann Simulation of Frost Formation Process." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17700.

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Compared with the conventional mathematical and physical models, the lattice Boltzmann (LB) method is an effective method to simulate the heat and mass transfer in porous media. Frost crystallization aggregation is a very complex process involving inconsistency of frost structures, crystal size distributions, the complex transient shapes, and other numerous influential factors. Assuming the frost is a special porous medium consists of ice crystals and humid air, a mesoscopic model is established to predict the behavior of frost formation based on the lattice Boltzmann equation. The moving boundary condition is adopted in the two-dimensional nine-speed (D2Q9) lattices. The influences of the cold flat surfaces temperature on frost formation process are investigated. The variation laws of frost density and frost layer height are obtained and discussed. Simulation results by the LB model are in agreement with the experiment data from the references.
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Le Targat, Rodolphe, Rafal Gartman, Luca Lorini, Bartlomiej Nagorny, Mikhail Gurov, Pierre Lemonde, Michal Zawada, and Jerome Lodewyck. "Comparison of two Strontium optical lattice clocks in agreement at the 10−16 level." In 2012 IEEE International Frequency Control Symposium (FCS). IEEE, 2012. http://dx.doi.org/10.1109/fcs.2012.6243652.

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Attiya, Hagit, Sweta Kumari, Archit Somani, and Jennifer L. Welch. "Brief Announcement: Collect in the Presence of Continuous Churn with Application to Snapshots and Lattice Agreement." In PODC '20: ACM Symposium on Principles of Distributed Computing. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3382734.3405709.

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Le Targat, Rodolphe, Luca Lorini, Mikhail Gurov, Michal Zawada, Rafal Gartman, Bartlomiej Nagorny, Pierre Lemonde, and Jerome Lodewyck. "Comparison of two Strontium optical lattice clocks in agreement at the 10−16 level." In 2012 European Frequency and Time Forum (EFTF). IEEE, 2012. http://dx.doi.org/10.1109/eftf.2012.6502324.

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Bo¨hle, Martin, and Richard Becker. "Verification of a Lattice-Boltzmann Method by Using Analytical Flow Solutions of Standard Flow Problems." In ASME 2009 Fluids Engineering Division Summer Meeting. ASMEDC, 2009. http://dx.doi.org/10.1115/fedsm2009-78342.

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Within the last ten years Lattice Boltzmann solvers have become very popular. They are used for flows inside complex geometries and around bodies like cars, for example. Lattice Boltzmann codes are easy to program because no complex linear equation systems must be solved. Furthermore it is easy to implement different kind of flow models, for example models for multiphase flows. The present paper points out the advantages of Lattice Boltmann methods by comparing results of the Lattice Boltzmann method with analytical and standard CFD results. Under standard CFD the application of a commercial CFD-code is meant. Two standard flows are considered. The first flow under consideration is the laminar boundary layer flow. For example, skin friction values calculated by both a standard CFD-code (FLUENT is applied) and a Lattice Boltzmann code are compared. For the laminar boundary layer flow an analytical solution is available. In the present paper all three results (analytical solution, FLUENT solution, Lattice Boltzmann solution) are compared and discussed. It is demonstrated that the results are in good agreement. Additionally, the 2D-flow around a cylinder for Reynold number 35 is considered. It is also demonstrated that the Lattice Boltzmann results are in good agreement with the results calculated by the application of FLUENT.
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