Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics

Details Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics

2011-07-22

arxiv.org/abs/1107.4543v1

J.Comput.Phys.230(13)(2011): 5353-5382

Physics

Computational Physics

33 pages

Scientific paper

10.1016/j.jcp.2011.03.040

Lattice Boltmzmann Methods (LBM) have been proved to be very effective methods for computational aeroacoustics (CAA), which have been used to capture the dynamics of weak acoustic fluctuations. In this paper, we propose a strategy to reduce the dispersive and disspative errors of the two-dimensional (2D) multi-relaxation-time lattice Boltzmann method (MRT-LBM). By presenting an effective algorithm, we obtain a uniform form of the linearized Navier-Stokes equations corresponding to the MRT-LBM in wave-number space. Using the matrix perturbation theory and the equivalent modified equation approach for finite difference methods, we propose a class of minimization problems to optimize the free-parameters in the MRT-LBM. We obtain this way a dispersion-relation-preserving LBM (DRP-LBM) to circumvent the minimized dispersion error of the MRT-LBM. The dissipation relation precision is also improved.And the stability of the MRT-LBM with the small bulk viscosity is guaranteed. Von Neuman analysis of the linearized MRT-LBM is performed to validate the optimized dispersion/dissipation relations considering monochromatic wave solutions. Meanwhile, dispersion and dissipation errors of the optimized MRT-LBM are quantitatively compared with the original MRT-LBM . Finally, some numerical simulations are carried out to assess the new optimized MRT-LBM schemes.

Affiliated with

Also associated with

No associations

Rating

Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676916