The artificial compressibility method for the incompressible Navier-Stokes equations is revived as a high order accurate numerical method (4th order in space and 2nd order in time). Similar to the lattice Boltzmann method, the mesh spacing is linked to the Mach number. The accuracy higher than that of the lattice Boltzmann method is achieved by exploiting the asymptotic behavior of solution of ...

We demonstrate that the requirement of Galilean invariance determines the choice of H function for a wide class of entropic lattice-Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-(2/D) for D>2, where D is the number of spatial dimensions. We use this observation to construct a f...

The Taylor series expansionand least squares-based lattice Boltzmann method (TLLBM) was used in this paper to extend the current thermal model to an arbitrary geometry so that it can be used to solve practical thermo-hydrodynamics in the incompressible limit. The new explicit method is based on the standard lattice Boltzmann method (LBM), Taylor series expansion and the least squares approach. ...

The interpolation supplemented lattice Boltzmann (ISLB) method was proposed by He et. al. (J. Comput. Phys., 129, 357 (1996)) as a modification of the traditional lattice Boltzmann (LB) method for simulating incompressible flows. The traditional LB method has been shown to be a highly parallel method (Computers in Physics, 8, No. 6,705 (1994)). In this paper, the parallel performance of the ISL...

The lattice Boltzmann method (LBM) has gained increasing popularity in incompressible viscous flow simulations, but it uses many more variables than necessary. This defect was overcome by a recent approach that solves the actual macroscopic equations obtained through Taylor series expansion analysis of [Lu et al., J. Comp. Phys., 415, 109546 (2020)]. key is to keep some small additional terms (...

In this work, for better understanding of drug delivery systems, blood flow over a ceramic nanoparticle is investigated through microvessels. Drug is considered as a nanoparticle coated with the rigid ceramic. Due to the low characteristic size in the microvessel, the fluid flow is not continuum and the no-slip boundary condition cannot be applied. To solve this problem lattice Boltzmann method...

The lattice Boltzmann method (LBM) has recently become an alternative and promising computational fluid dynamics approach for simulating complex fluid flows. Despite its enormous success in many practical applications, the standard LBM is restricted to the lattice uniformity in the physical space. This is the main drawback of the standard LBM for flow problems with complex geometry. Several app...

The semi-Lagrangian Vortex method (VM) and the Lattice Boltzmann (LBM) are used to investigate flows simulations in incompressible regime. In this study, a proven version of each is compared on different three dimensional benchmarks terms numerical accuracy, convergence, diffusion dissipation. first comparisons made convected vortex study compare dissipation LBM VM. Then Taylor–Green investigat...