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A new multiple-relaxation-time lattice Boltzmann scheme for compressible flows with arbitrary specific heat ratio and Prandtl number is presented. In the new scheme, which is based on a two-dimensional 16-discrete-velocity model, the moment…

Soft Condensed Matter · Physics 2015-05-18 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

We propose a multiple relaxation time Boltzmann equation collision model by systematically assigning a separate relaxation time to each of the central moments of the distribution function. The Chapman-Enskog calculation leads to correct…

Computational Physics · Physics 2020-10-06 Xiaowen Shan

We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows. The model is fully on-lattice and uses the single relaxation time Bhatnagar-Gross-Krook kinetic equations along with…

Fluid Dynamics · Physics 2021-11-24 M. H. Saadat , S. A. Hosseini , B. Dorschner , I. V. Karlin

For compressible fluids under shock wave reaction, we have proposed two Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL \textbf{90} (2010) 54003; Phys. Lett. A \textbf{375} (2011) 2129.]. In this paper, we…

Soft Condensed Matter · Physics 2013-08-29 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

We present an improved lattice Boltzmann model for high-speed compressible flows. The model is composed of a discrete-velocity model by Kataoka and Tsutahara [Phys. Rev. E \textbf{69}, 056702 (2004)] and an appropriate finite-difference…

Soft Condensed Matter · Physics 2009-11-13 X. F. Pan , Aiguo Xu , Guangcai Zhang , Song Jiang

We present a new kinetic model and its lattice Boltzmann realization for the simulation of compressible, non-ideal fluid flows. The method employs first-neighbour lattices and introduces a consistent set of correction terms constructed via…

Fluid Dynamics · Physics 2026-05-08 S. A. Hosseini , M. Feinberg , I. V. Karlin

In this paper, an efficient three-dimensional lattice Boltzmann (LB) model with multiple-relaxation-time (MRT) collision operator is developed for the simulation of multiphase flows. This model is an extension of our previous…

Computational Physics · Physics 2015-07-28 Hong Liang , Baochang Shi , Zhenhua Chai

We systematically derived hydrodynamic equations and transport coefficients for a class of multi-speed lattice Boltzmann models in D dimensions, using the multi-scale technique. The constitutive relation of physical fluid is recovered by a…

comp-gas · Physics 2008-02-03 Yu Chen , Hirotada Ohashi , Mamoru Akiyama

In this paper, a two-dimensional eight-velocity (D2Q8) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for incompressible porous flows at the representative elementary volume scale based on the…

Computational Physics · Physics 2015-11-03 Qing Liu , Ya-Ling He

A novel Lattice Boltzmann Method applicable to compressible fluid flows is developed. This method is based on replacing the governing equations by a relaxation system and the interpretation of the diagonal form of the relaxation system as a…

Cellular Automata and Lattice Gases · Physics 2015-04-28 S. V. Raghurama Rao , Rohan Deshmukh , Sourabh Kotnala

A hybrid lattice Boltzmann/finite-difference solver for low Mach thermo-compressible flows developed in earlier works is extended to more realistic and challenging configurations involving turbulence and complex geometries in the present…

Fluid Dynamics · Physics 2022-07-26 S. A. Hosseini , N. Darabiha , D. Thevenin

We propose a multiple relaxation time entropic realization of a two-phase flow lattice Boltzmann model we introduced in earlier works arXiv:2112.01975 S.A. Hosseini, B. Dorschner, and I. V. Karlin, arXiv preprint, arXiv:2112.01975 (2021).…

Fluid Dynamics · Physics 2023-03-22 S. A. Hosseini , B. Dorschner , I. V. Karlin

We present a polar coordinate lattice Boltzmann kinetic model for compressible flows. A method to recover the continuum distribution function from the discrete distribution function is indicated. Within the model, a hybrid scheme being…

Soft Condensed Matter · Physics 2018-03-09 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

A highly efficient three-dimensional (3D) Lattice Boltzmann (LB) model for high speed compressible flows is proposed. This model is developed from the original one by Kataoka and Tsutahara[Phys. Rev. E 69, 056702 (2004)]. The convection…

Statistical Mechanics · Physics 2010-12-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating incompressible axisymmetric thermal flows in porous media at the representative elementary volume (REV) scale. In the model, a D2Q9…

Computational Physics · Physics 2016-03-22 Qing Liu , Ya-Ling He , Qing Li

In this paper, a double multiple-relaxation-time lattice Boltzmann model is developed for simulating transient solid-liquid phase change problems in porous media at the representative elementary volume scale. The model uses two different…

Fluid Dynamics · Physics 2015-03-31 Qing Liu , Ya-Ling He

In a recent work [A. De Rosis, R. Huang, and C. Coreixas, "Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomena", Phys. Fluids 31, 117102 (2019)], a…

Computational Physics · Physics 2020-11-04 Alessandro De Rosis , Christophe Coreixas

We present an energy conserving lattice Boltzmann model based on a crystallographic lattice for simulation of weakly compressible flows. The theoretical requirements and the methodology to construct such a model are discussed. We…

Computational Physics · Physics 2020-01-29 Praveen Kumar Kolluru , Mohammad Atif , Manjusha Namburi , Santosh Ansumali

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it is suitable also for incompressible flows. To decrease the artificial oscillations,…

Soft Condensed Matter · Physics 2013-05-22 Feng Chen , Aiguo Xu , Guangcai Zhang , Yonglong Wang

In the Hermite-expansion-based multiple-relaxation-time lattice Boltzmann (LB) model [Shan & Chen, Int. J. Mod. Phys. C, 18, 635, (2007)], a separate relaxation time is assigned to each of the tensorial moments of the collision term. Here…

Computational Physics · Physics 2021-05-05 Xuhui Li , Xiaowen Shan
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