A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes

Patel, Saumil; Lee, Taehun

doi:10.1016/j.jcp.2016.09.060

Title: A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes

Authors:

Patel, Saumil;

Publication Date:: Thu Dec 01 00:00:00 EST 2016

Sponsoring Org.:: USDOE Office of Nuclear Energy (NE)

OSTI Identifier:: 1397762

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 327 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Patel, Saumil, and Lee, Taehun. A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes.  United States: N. p., 2016. 
Web.  doi:10.1016/j.jcp.2016.09.060.

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                    Patel, Saumil, & Lee, Taehun. A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes.  United States.  https://doi.org/10.1016/j.jcp.2016.09.060

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                    Patel, Saumil, and Lee, Taehun. Thu .  
"A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes".  United States.  https://doi.org/10.1016/j.jcp.2016.09.060.

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@article{osti_1397762,

  title        = {A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes},

  author       = {Patel, Saumil and Lee, Taehun},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2016.09.060},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 327,

  place        = {United States},

  year         = {Thu Dec 01 00:00:00 EST 2016},

  month        = {Thu Dec 01 00:00:00 EST 2016}

}

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Title: A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes

Citation Formats

Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases journal, October 2006

Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases journal, October 2000

A study of numerical methods for hyperbolic conservation laws with stiff source terms journal, January 1990

The lattice Boltzmann equation method: theoretical interpretation, numerics and implications journal, January 2003

Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio journal, January 2015

Finite-difference lattice Boltzmann method with a block-structured adaptive-mesh-refinement technique journal, March 2014

Modelling Merging and Fragmentation in Multiphase Flows with SURFER journal, July 1994

On the Theory and Computation of Surface Tension: The Elimination of Parasitic Currents through Energy Conservation in the Second-Gradient Method journal, October 2002

Finite element lattice Boltzmann simulations of free surface flow in a concentric cylinder journal, January 2013

Discrete Boltzmann equation model for nonideal gases journal, January 1998

A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio journal, June 2005

A review of spurious currents in the lattice Boltzmann method for multiphase flows journal, December 2012

An interpretation and derivation of the lattice Boltzmann method using Strang splitting journal, January 2013

A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh–Taylor Instability journal, July 1999

An Eulerian description of the streaming process in the lattice Boltzmann equation journal, March 2003

Challenges in lattice Boltzmann computing journal, October 1995

On the Construction and Comparison of Difference Schemes journal, September 1968

A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows journal, January 2011

Second- and Third-Order Noncentered Difference Schemes for Nonlinear Hyperbolic Equations journal, February 1973

A general algorithm for compressible and incompressible flow—Part I. the split, characteristic-based scheme journal, April 1995

Lattice Boltzmann Method for Fluid Flows journal, January 1998

A Characteristic Galerkin Method for Discrete Boltzmann Equation journal, July 2001

Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids journal, December 1996

A lattice Boltzmann method for incompressible two-phase flows with large density differences journal, August 2004

A spectral-element discontinuous Galerkin lattice Boltzmann method for simulating natural convection heat transfer in a horizontal concentric annulus journal, May 2014

Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases
journal, October 2006

Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases
journal, October 2000

A study of numerical methods for hyperbolic conservation laws with stiff source terms
journal, January 1990

The lattice Boltzmann equation method: theoretical interpretation, numerics and implications
journal, January 2003

Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio
journal, January 2015

Finite-difference lattice Boltzmann method with a block-structured adaptive-mesh-refinement technique
journal, March 2014

Modelling Merging and Fragmentation in Multiphase Flows with SURFER
journal, July 1994

On the Theory and Computation of Surface Tension: The Elimination of Parasitic Currents through Energy Conservation in the Second-Gradient Method
journal, October 2002

Finite element lattice Boltzmann simulations of free surface flow in a concentric cylinder
journal, January 2013

Discrete Boltzmann equation model for nonideal gases
journal, January 1998

A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio
journal, June 2005

A review of spurious currents in the lattice Boltzmann method for multiphase flows
journal, December 2012

An interpretation and derivation of the lattice Boltzmann method using Strang splitting
journal, January 2013

A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh–Taylor Instability
journal, July 1999

An Eulerian description of the streaming process in the lattice Boltzmann equation
journal, March 2003

Challenges in lattice Boltzmann computing
journal, October 1995

On the Construction and Comparison of Difference Schemes
journal, September 1968

A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows
journal, January 2011

Second- and Third-Order Noncentered Difference Schemes for Nonlinear Hyperbolic Equations
journal, February 1973

A general algorithm for compressible and incompressible flow—Part I. the split, characteristic-based scheme
journal, April 1995

Lattice Boltzmann Method for Fluid Flows
journal, January 1998

A Characteristic Galerkin Method for Discrete Boltzmann Equation
journal, July 2001

Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids
journal, December 1996

A lattice Boltzmann method for incompressible two-phase flows with large density differences
journal, August 2004

A spectral-element discontinuous Galerkin lattice Boltzmann method for simulating natural convection heat transfer in a horizontal concentric annulus
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