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| 1 | Elements of the Lattice Boltzmann Method II: Kinetics and Hydrodynamics in One Dimension显示文摘Concepts of the lattice Boltzmann method are discussed in detail for the one-dimensional kinetic model.Various techniques of constructing lattice Boltzmann models are discussed,and novel collision integrals are derived.Geometry of the ki-netic space and the role of the thermodynamic projector is elucidated. | Iliya V.Karlin Shyam S.Chikatamarla Santosh Ansumali | 2007 | Communications in Computational Physics2007，2，2： | 0 |
| 2 | Microflow Simulations via the Lattice Boltzmann Method显示文摘The exact solution to the hierarchy of nonlinear lattice Boltzmann kinetic equations,for the stationary planar Couette flow for any Knudsen number was presented by S.Ansumali et al.[Phys.Rev.Lett.,98(2007),124502].In this paper,simulation results at a non-vanishing value of the Knudsen number are compared with the closed-form solutions for the higher-order moments.The order of convergence to the exact solution is also studied.The lattice Boltzmann simulations are in excellent agreement with the exact solution. | Nikolaos Prasianakis Santosh Ansumali | 2011 | Communications in Computational Physics2011，9，5： | 0 |
| 3 | Energy Conserving Lattice Boltzmann Models for Incompressible Flow Simulations显示文摘In this paper,we highlight the benefits resulting from imposing energyconserving equilibria in entropic lattice Boltzmann models for isothermal flows.The advantages are documented through a series of numerical simulations,such as TaylorGreen vortices,cavity flow and flow past a sphere. | Shiwani Singh Siddharth Krithivasan Iliya V.Karlin Sauro Succi Santosh Ansumali | 2013 | Communications in Computational Physics2013，13，3： | 0 |
| 4 | Extended BGK Boltzmann for Dense Gases显示文摘An alternate BGK type formulation of the Enskog equation has been recently proposed[1].It was shown that the new model has a valid H-theorem and correct thermal conductivity.We propose Lattice Boltzmann(LB)formulation of this new EnskogBGK model.The molecular nature of the model is verified in case of shear flow by comparing the predicted normal stress behavior by the current model with the prediction of molecular dynamics simulations.We extend the model for multiphase flow by incorporating attractive part as Vlasov type force.To validate multiphase formulation,the results of 3D simulations of a condensing bubble in a periodic box are presented. | Saikishan Suryanarayanan Shiwani Singh Santosh Ansumali | 2013 | Communications in Computational Physics2013，13，3： | 0 |
| 5 | Elements of the Lattice Boltzmann Method I:Linear Advection Equation显示文摘This paper opens a series of papers aimed at finalizing the development of the lattice Boltzmann method for complex hydrodynamic systems.The lattice Boltzmann method is introduced at the elementary level of the linear advection equation.Details are provided on lifting the target macroscopic equations to a kinetic equation,and,after that,to the fully discrete lattice Boltzmann scheme.The over-relaxation method is put forward as a cornerstone of the second-order temporal discretization,and its enhancement with the use of the entropy estimate is explained in detail.A new asymptotic expansion of the entropy estimate is derived,and implemented in the sample code.It is shown that the lattice Boltzmann method provides a computationally efficient way of numerically solving the advection equation with a controlled amount of numerical dissipation,while retaining positivity. | Iliya V.Karlin Santosh Ansumali Christos E.Frouzakis Shyam Sunder Chikatamarla | 2006 | Communications in Computational Physics2006，1，4： | 0 |
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