Truncation Errors, Exact And Heuristic Stability Analysis Of Two-Relaxation-Times Lattice Boltzmann Schemes For Anisotropic Advection-Diffusion Equation

MRT Lattice Boltzmann schemes for confined suspension flows

(2010) R.G.M. van der Sman   COMPUTER PHYSICS COMMUNICATIONS

The role of the kinetic parameter in the stability of two-relaxation-time advection–diffusion lattice Boltzmann schemes

(2010) A. Kuzmin et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Transport properties of heterogeneous materials. Combining computerised X-ray micro-tomography and direct numerical simulations

(2010) Viivi Koivu et al.   INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS

Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation

(2010) Hiroaki Yoshida et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Accurate Multi-level Finite Difference Scheme for 1D Diffusion Equations Derived from the Lattice Boltzmann Method

(2010) Shinsuke Suga   JOURNAL OF STATISTICAL PHYSICS

Optimal Stability of Advection-Diffusion Lattice Boltzmann Models with Two Relaxation Times for Positive/Negative Equilibrium

(2010) Irina Ginzburg et al.   JOURNAL OF STATISTICAL PHYSICS

A higher-order moment method of the lattice Boltzmann model for the conservation law equation

(2009) Yinfeng Dong et al.   APPLIED MATHEMATICAL MODELLING

Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers

(2009) Dominique d’Humières et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On a superconvergent lattice Boltzmann boundary scheme

(2009) François Dubois et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

STABILITY AND ACCURACY OF LATTICE BOLTZMANN SCHEMES FOR ANISOTROPIC ADVECTION-DIFFUSION EQUATIONS

(2009) SHINSUKE SUGA   INTERNATIONAL JOURNAL OF MODERN PHYSICS C

A coupled lattice Boltzmann model for advection and anisotropic dispersion problem in shallow water

(2008) Yineng Li et al.   ADVANCES IN WATER RESOURCES

Lattice Boltzmann method with two relaxation times for advection–diffusion equation: Third order analysis and stability analysis

(2008) Borja Servan-Camas et al.   ADVANCES IN WATER RESOURCES

Non-negativity and stability analyses of lattice Boltzmann method for advection–diffusion equation

(2008) Borja Servan-Camas et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Duality in matrix lattice Boltzmann models

(2008) R. Adhikari et al.   PHYSICAL REVIEW E

Stability and multiscale analysis of an advective lattice Boltzmann scheme

(2008) Martin Rheinlander   PROGRESS IN COMPUTATIONAL FLUID DYNAMICS

Equivalent partial differential equations of a lattice Boltzmann scheme

(2007) François Dubois   COMPUTERS & MATHEMATICS WITH APPLICATIONS