A Kinetic Method for Computing Inhomogeneous Fluid Behavior

Kotelnikov, Alexei D.; Montgomery, David

doi:10.1006/jcph.1997.5720

Cited by 22 publications

(12 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to Bhatnagar, Gross, and Krook (BGK), the collision operator is simpliÿed using the single time relaxation approximation [18]. Hence, the Lagrangian lattice Boltzmann BGK equation is…”

Section: Lagrangian Lattice Boltzmann Equationmentioning

confidence: 99%

An implicit Lagrangian lattice Boltzmann method for the compressible flows

Yan

Dong

Liu

2006

Int. J. Numer. Meth. Fluids

View full text Add to dashboard Cite

SUMMARYIn this paper, we propose a new Lagrangian lattice Boltzmann method (LBM) for simulating the compressible ows. The new scheme simulates uid ows based on the displacement distribution functions. The compressible ows, such as shock waves and contact discontinuities are modelled by using Lagrangian LBM. In this model, we select the element in the Lagrangian coordinate to satisfy the basic uid laws. This model is a simpler version than the corresponding Eulerian coordinates, because the convection term of the Euler equations disappears. The numerical simulations conform to classical results.

show abstract

Section: Lagrangian Lattice Boltzmann Equationmentioning

confidence: 99%

An implicit Lagrangian lattice Boltzmann method for the compressible flows

Yan

Dong

Liu

2006

Int. J. Numer. Meth. Fluids

View full text Add to dashboard Cite

show abstract

“…One should expect significant progress made in the near future by using the LBE method in the area of interfacial dynamics related to the instability of either Rayleigh-Taylor or Richtmyer-Meshkov (Kotelnikov and Montgomery, 1997). One should expect significant progress made in the near future by using the LBE method in the area of interfacial dynamics related to the instability of either Rayleigh-Taylor or Richtmyer-Meshkov (Kotelnikov and Montgomery, 1997).…”

Section: Applicationsmentioning

confidence: 99%

Computational Aerosciences in the 21st Century

Salas¹,

Anderson²,

Icase³

et al. 2000

View full text Add to dashboard Cite

The cover illustration shows an unstructured symmetry plane surf ace grid and tetrahedral fie1d cut for a NASA Space Shuttle Orbiter configuration. The complete volume grid contains 547,741 nodes and 3,026,562 tetrahedral elements and was used for an inviscid CFD analysis. The geometry preparation and grid generation work were performed by David L. Marcum and J. Adam Gainther using SolidMesh with AFLR volume and surf ace generators at the MSU/NSF Engineering Research Center for Computational Field Simulation at Mississippi State University. Ali Rights Reserved

show abstract

“…In recent years, in order to remove the low Mach restriction, a series of lattice Boltzmann models dealing with the compressible flows have been proposed (Alexander et al 1992, Kim et al 1997, Kotelnikov and Montgomery 1997, Renda et al 1998, Sun 1998, Vahala et al 1998, De Cicco et al 1999, Mason 2000, 2002, Kataoka and Tsutahara 2004a, 2004b, Yan et al 2007). Alexander et al (1992) chose a modified equilibrium distribution allowing a smaller sound speed.…”

Section: Introductionmentioning

confidence: 99%

“…Alexander et al (1992) chose a modified equilibrium distribution allowing a smaller sound speed. Kim et al (1997), and Kotelnikov and Montgomery (1997) used BGK type models to establish a new type flux and employed the total variation diminishing (TVD) flux limitation with the neighbourhood cells. Renda et al (1998), Sun (1998), Vahala et al (1998), De Cicco et al (1999, Yan et al ( , 2007, Mason (2000Mason ( , 2002 and Tsutahara (2004a, 2004b) proposed many models by using additional techniques to achieve higher Mach number for compressible flows.…”

Section: Introductionmentioning

confidence: 99%

A multi-entropy-level lattice Boltzmann model for the one-dimensional compressible Euler equations

Yan

Zhang

2008

International Journal of Computational Fluid Dynamics

View full text Add to dashboard Cite

In this paper, we propose a new lattice Boltzmann model for the one-dimensional compressible Euler equations. The new model is based on a three-entropy-level and three-speed lattice Boltzmann equation by using a method of higher-order moments of the equilibrium distribution functions. In order to obtain the second-order accuracy model, we employ the ghost field distribution functions to remove the non-physical dissipation terms in the Euler equations. We also use the conditions of the higher-order moments of the ghost field equilibrium distribution functions to obtain the equilibrium distribution functions. The numerical examples show that the numerical results can be compared with those classical methods.

show abstract

A Kinetic Method for Computing Inhomogeneous Fluid Behavior

Cited by 22 publications

References 20 publications

An implicit Lagrangian lattice Boltzmann method for the compressible flows

An implicit Lagrangian lattice Boltzmann method for the compressible flows

Computational Aerosciences in the 21st Century

A multi-entropy-level lattice Boltzmann model for the one-dimensional compressible Euler equations

Contact Info

Product

Resources

About