Journal articles on the topic 'Discrete Boltzmann equation'
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Simonis, Stephan, Martin Frank, and Mathias J. Krause. "On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2175 (2020): 20190400. http://dx.doi.org/10.1098/rsta.2019.0400.
Full textQU, KUN, CHANG SHU, and JINSHENG CAI. "DEVELOPING LBM-BASED FLUX SOLVER AND ITS APPLICATIONS IN MULTI-DIMENSION SIMULATIONS." International Journal of Modern Physics: Conference Series 19 (January 2012): 90–99. http://dx.doi.org/10.1142/s2010194512008628.
Full textHekmat, Mohamad Hamed, and Masoud Mirzaei. "Development of Discrete Adjoint Approach Based on the Lattice Boltzmann Method." Advances in Mechanical Engineering 6 (January 1, 2014): 230854. http://dx.doi.org/10.1155/2014/230854.
Full textBernhoff, Niclas. "Boundary Layers and Shock Profiles for the Broadwell Model." International Journal of Differential Equations 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/5801728.
Full textBanoo, K., F. Assad, and M. S. Lundstrom. "Formulation of the Boltzmann Equation as a Multi-Mode Drift-Diffusion Equation." VLSI Design 8, no. 1-4 (1998): 539–44. http://dx.doi.org/10.1155/1998/59373.
Full textMARTYS, NICOS S. "ENERGY CONSERVING DISCRETE BOLTZMANN EQUATION FOR NONIDEAL SYSTEMS." International Journal of Modern Physics C 10, no. 07 (1999): 1367–82. http://dx.doi.org/10.1142/s0129183199001121.
Full textBELLOUQUID, A. "A DIFFUSIVE LIMIT FOR NONLINEAR DISCRETE VELOCITY MODELS." Mathematical Models and Methods in Applied Sciences 13, no. 01 (2003): 35–58. http://dx.doi.org/10.1142/s0218202503002374.
Full textHe, Xiaoyi, Xiaowen Shan, and Gary D. Doolen. "Discrete Boltzmann equation model for nonideal gases." Physical Review E 57, no. 1 (1998): R13—R16. http://dx.doi.org/10.1103/physreve.57.r13.
Full textANDALLAH, LAEK S., and HANS BABOVSKY. "A DISCRETE BOLTZMANN EQUATION BASED ON HEXAGONS." Mathematical Models and Methods in Applied Sciences 13, no. 11 (2003): 1537–63. http://dx.doi.org/10.1142/s0218202503003021.
Full textMakai, Mihály. "Discrete Symmetries of the Linear Boltzmann equation." Transport Theory and Statistical Physics 15, no. 3 (1986): 249–73. http://dx.doi.org/10.1080/00411458608210452.
Full textCabannes, H. "The discrete model of the Boltzmann equation." Transport Theory and Statistical Physics 16, no. 4-6 (1987): 809–36. http://dx.doi.org/10.1080/00411458708204316.
Full textFu, S. C., R. M. C. So, and W. W. F. Leung. "A Discrete Flux Scheme for Aerodynamic and Hydrodynamic Flows." Communications in Computational Physics 9, no. 5 (2011): 1257–83. http://dx.doi.org/10.4208/cicp.311009.241110s.
Full textNANBU, K. "MODEL KINETIC EQUATION FOR THE DISTRIBUTION OF DISCRETIZED INTERNAL ENERGY." Mathematical Models and Methods in Applied Sciences 04, no. 05 (1994): 669–75. http://dx.doi.org/10.1142/s0218202594000376.
Full textVedenyapin, Victor V., Sergey Z. Adzhiev, and Vladlena V. Kazantseva. "Entropy in the Sense of Boltzmann and Poincare, Boltzmann Extremals, and the Hamilton-Jacobi Method in Non-Hamiltonian Context." Contemporary Mathematics. Fundamental Directions 64, no. 1 (2018): 37–59. http://dx.doi.org/10.22363/2413-3639-2018-64-1-37-59.
Full textWANG, Y., Y. L. HE, Q. LI, G. H. TANG, and W. Q. TAO. "LATTICE BOLTZMANN MODEL FOR SIMULATING VISCOUS COMPRESSIBLE FLOWS." International Journal of Modern Physics C 21, no. 03 (2010): 383–407. http://dx.doi.org/10.1142/s0129183110015178.
Full textVedenyapin, V. V., and S. A. Amosov. "Discrete models of the boltzmann equation for mixtures." Differential Equations 36, no. 7 (2000): 1027–32. http://dx.doi.org/10.1007/bf02754504.
Full textKoller, W., and F. Schürrer. "PNAPPROXIMATION OF THE NONLINEAR SEMI-DISCRETE BOLTZMANN EQUATION." Transport Theory and Statistical Physics 30, no. 4-6 (2001): 471–89. http://dx.doi.org/10.1081/tt-100105933.
Full textVedenyapin, V. V., I. V. Mingalev, and O. V. Mingalev. "ON DISCRETE MODELS OF THE QUANTUM BOLTZMANN EQUATION." Russian Academy of Sciences. Sbornik Mathematics 80, no. 2 (1995): 271–85. http://dx.doi.org/10.1070/sm1995v080n02abeh003525.
Full textPreziosi, L. "Thermal creep problems by the discrete Boltzmann equation." Transport Theory and Statistical Physics 21, no. 3 (1992): 183–209. http://dx.doi.org/10.1080/00411459208203920.
Full textShizuta, Yasushi, and Shuichi Kawashima. "The regular discrete models of the Boltzmann equation." Journal of Mathematics of Kyoto University 27, no. 1 (1987): 131–40. http://dx.doi.org/10.1215/kjm/1250520768.
Full textLee, Taehun, and Ching-Long Lin. "A Characteristic Galerkin Method for Discrete Boltzmann Equation." Journal of Computational Physics 171, no. 1 (2001): 336–56. http://dx.doi.org/10.1006/jcph.2001.6791.
Full textViggen, Erlend Magnus. "Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation." Communications in Computational Physics 13, no. 3 (2013): 671–84. http://dx.doi.org/10.4208/cicp.271011.020212s.
Full textMarcos, Aboubacar, and Ambroise Soglo. "Solutions of a Class of Degenerate Kinetic Equations Using Steepest Descent in Wasserstein Space." Journal of Mathematics 2020 (June 9, 2020): 1–30. http://dx.doi.org/10.1155/2020/7489532.
Full textRINGHOFER, CHRISTIAN. "DISSIPATIVE DISCRETIZATION METHODS FOR APPROXIMATIONS TO THE BOLTZMANN EQUATION." Mathematical Models and Methods in Applied Sciences 11, no. 01 (2001): 133–48. http://dx.doi.org/10.1142/s0218202501000799.
Full textChen, 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.
Full textSIEBERT, DIOGO NARDELLI, LUIZ ADOLFO HEGELE, RODRIGO SURMAS, LUÍS ORLANDO EMERICH DOS SANTOS, and PAULO CESAR PHILIPPI. "THERMAL LATTICE BOLTZMANN IN TWO DIMENSIONS." International Journal of Modern Physics C 18, no. 04 (2007): 546–55. http://dx.doi.org/10.1142/s0129183107010784.
Full textZhai, Qinglan, Song Zheng, and Lin Zheng. "A kinetic theory based thermal lattice Boltzmann equation model." International Journal of Modern Physics C 28, no. 04 (2017): 1750047. http://dx.doi.org/10.1142/s0129183117500474.
Full textShizuta, Yasushi, and Shuichi Kawashima. "The regularity of discrete models of the Boltzmann equation." Proceedings of the Japan Academy, Series A, Mathematical Sciences 61, no. 8 (1985): 252–54. http://dx.doi.org/10.3792/pjaa.61.252.
Full textGross, M., M. E. Cates, F. Varnik, and R. Adhikari. "Langevin theory of fluctuations in the discrete Boltzmann equation." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 03 (2011): P03030. http://dx.doi.org/10.1088/1742-5468/2011/03/p03030.
Full textAmossov, Stepan A. "Discrete kinetic models of relativistic Boltzmann equation for mixtures." Physica A: Statistical Mechanics and its Applications 301, no. 1-4 (2001): 330–40. http://dx.doi.org/10.1016/s0378-4371(01)00380-6.
Full textPłatkowski, T., and W. Waluś. "An efficient discrete-velocity method for the Boltzmann equation." Computer Physics Communications 121-122 (September 1999): 717. http://dx.doi.org/10.1016/s0010-4655(06)70120-5.
Full textLa Rocca, Michele, Andrea Montessori, Pietro Prestininzi, and Lakshmanan Elango. "Discrete Boltzmann Equation model of polydisperse shallow granular flows." International Journal of Multiphase Flow 113 (April 2019): 107–16. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2019.01.008.
Full textWagner, Wolfgang. "Approximation of the Boltzmann equation by discrete velocity models." Journal of Statistical Physics 78, no. 5-6 (1995): 1555–70. http://dx.doi.org/10.1007/bf02180142.
Full textKawashima, Shuichi. "Asymptotic stability of Maxwellians of the discrete Boltzmann equation." Transport Theory and Statistical Physics 16, no. 4-6 (1987): 781–93. http://dx.doi.org/10.1080/00411458708204314.
Full textMischler, Stéphane. "Convergence of Discrete-Velocity Schemes for the Boltzmann Equation." Archive for Rational Mechanics and Analysis 140, no. 1 (1997): 53–77. http://dx.doi.org/10.1007/s002050050060.
Full textPREMNATH, KANNAN N., and JOHN ABRAHAM. "DISCRETE LATTICE BGK BOLTZMANN EQUATION COMPUTATIONS OF TRANSIENT INCOMPRESSIBLE TURBULENT JETS." International Journal of Modern Physics C 15, no. 05 (2004): 699–719. http://dx.doi.org/10.1142/s0129183104006157.
Full textRen, Junjie, Ping Guo, and Zhaoli Guo. "Rectangular Lattice Boltzmann Equation for Gaseous Microscale Flow." Advances in Applied Mathematics and Mechanics 8, no. 2 (2014): 306–30. http://dx.doi.org/10.4208/aamm.2014.m672.
Full textKAWASHIMA, SHUICHI. "THE DISCRETE BOLTZMANN EQUATION WITH MULTIPLE COLLISIONS AND THE CORRESPONDING FLUID-DYNAMICAL EQUATIONS." Mathematical Models and Methods in Applied Sciences 03, no. 05 (1993): 681–92. http://dx.doi.org/10.1142/s0218202593000345.
Full textZhang, Zhenyu, Wei Zhao, Qingjun Zhao, Guojing Lu, and Jianzhong Xu. "Inlet and outlet boundary conditions for the discrete velocity direction model." Modern Physics Letters B 32, no. 04 (2018): 1850048. http://dx.doi.org/10.1142/s0217984918500483.
Full textZhukov, V. P., A. Ye Barochkin, A. N. Belyakov, and O. V. Sizova. "Analysis of application and improvement of methods to solve discrete models of Boltzmann equation." Vestnik IGEU, no. 6 (December 28, 2021): 62–69. http://dx.doi.org/10.17588/2072-2672.2021.6.062-069.
Full textPremnath, Kannan N., and Sanjoy Banerjee. "Inertial Frame Independent Forcing for Discrete Velocity Boltzmann Equation: Implications for Filtered Turbulence Simulation." Communications in Computational Physics 12, no. 3 (2012): 732–66. http://dx.doi.org/10.4208/cicp.181210.090911a.
Full textBobylev, Alexander, Mirela Vinerean, and Åsa Windfäll. "Discrete velocity models of the Boltzmann equation and conservation laws." Kinetic & Related Models 3, no. 1 (2010): 35–58. http://dx.doi.org/10.3934/krm.2010.3.35.
Full textNIKKUNI, Yoshiko, and Reiko SAKAMOTO. "Solutions to the discrete Boltzmann equation with general boundary conditions." Journal of the Mathematical Society of Japan 51, no. 3 (1999): 757–79. http://dx.doi.org/10.2969/jmsj/05130757.
Full textSaint-Raymond, Laure. "DISCRETE TIME NAVIER-STOKES LIMIT FOR THE BGK BOLTZMANN EQUATION." Communications in Partial Differential Equations 27, no. 1-2 (2002): 149–84. http://dx.doi.org/10.1081/pde-120002785.
Full textSaint-Raymond, Laure. "Discrete time Navier–Stokes limit for the BGK Boltzmann equation." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 330, no. 2 (2000): 163–68. http://dx.doi.org/10.1016/s0764-4442(00)00117-8.
Full textBrechtken, Stefan, and Thomas Sasse. "Normal, high order discrete velocity models of the Boltzmann equation." Computers & Mathematics with Applications 75, no. 2 (2018): 503–19. http://dx.doi.org/10.1016/j.camwa.2017.09.024.
Full textCabannes, Henri. "Survey of initial value problem for the discrete Boltzmann equation." Rendiconti del Seminario Matematico e Fisico di Milano 62, no. 1 (1992): 139–56. http://dx.doi.org/10.1007/bf02925441.
Full textKawashima, Shuichi. "Large-time behavior of solutions of the discrete Boltzmann equation." Communications in Mathematical Physics 109, no. 4 (1987): 563–89. http://dx.doi.org/10.1007/bf01208958.
Full textOliveira, Filipe, and Ana Jacinta Soares. "A note on a Discrete Boltzmann Equation with multiple collisions." Journal of Mathematical Analysis and Applications 341, no. 2 (2008): 1476–81. http://dx.doi.org/10.1016/j.jmaa.2007.11.047.
Full textAmossov, S. A. "TWO-LEVEL DISCRETE MODELS OF BOLTZMANN EQUATION FOR BINARY MIXTURES." Transport Theory and Statistical Physics 31, no. 2 (2002): 125–39. http://dx.doi.org/10.1081/tt-120003970.
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