The lattice Boltzmann equations for the linear diffusion modeling in cases of D2Q5, D2Q7 and D2Q9 lattices are considered. Families of the numerical schemes with the dependence on scalar parameter are introduced. The stability analysis of schemes is performed in parameter space. The stability is studied numerically by von Neumann method. Optimal parameter values for the presented families are defined
In this paper, we recall the linear version of the lattice Boltzmann schemes in the framework propos...
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys...
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under t...
Stability and hydrodynamic behaviors of different lattice Boltzmann models including the lattice Bol...
AbstractThis paper is devoted to determining the stability conditions for the finite difference base...
Abstract: In this paper we consider a two-population lattice-Boltzmann algorithm to approximate the ...
International audienceLattice Boltzmann schemes rely on the enlargement of the size of the target pr...
Lattice Boltzmann methods are a fully discrete model and numerical method for simulating fluid dynam...
Lattice Boltzmann methods are a fully discrete model and numerical method for simulating fluid dynam...
An analysis of the lattice Boltzmann (LB) method is conducted, and various conclusions are drawn on ...
We propose a formal expansion of multiple relaxation times lattice Boltzmann schemes in terms of a s...
The lattice-Boltzmann equation is a low-order approximation of the Boltzmann equation (BE) and its s...
AbstractThe stability structure for lattice Boltzmann schemes has been introduced in Banda et al. (2...
The von Neumann linear analysis, restricted by a heuristic selection of wave-number vectors was appl...
The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a genera...
In this paper, we recall the linear version of the lattice Boltzmann schemes in the framework propos...
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys...
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under t...
Stability and hydrodynamic behaviors of different lattice Boltzmann models including the lattice Bol...
AbstractThis paper is devoted to determining the stability conditions for the finite difference base...
Abstract: In this paper we consider a two-population lattice-Boltzmann algorithm to approximate the ...
International audienceLattice Boltzmann schemes rely on the enlargement of the size of the target pr...
Lattice Boltzmann methods are a fully discrete model and numerical method for simulating fluid dynam...
Lattice Boltzmann methods are a fully discrete model and numerical method for simulating fluid dynam...
An analysis of the lattice Boltzmann (LB) method is conducted, and various conclusions are drawn on ...
We propose a formal expansion of multiple relaxation times lattice Boltzmann schemes in terms of a s...
The lattice-Boltzmann equation is a low-order approximation of the Boltzmann equation (BE) and its s...
AbstractThe stability structure for lattice Boltzmann schemes has been introduced in Banda et al. (2...
The von Neumann linear analysis, restricted by a heuristic selection of wave-number vectors was appl...
The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a genera...
In this paper, we recall the linear version of the lattice Boltzmann schemes in the framework propos...
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys...
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under t...