Результаты поиска по 'lattice Boltzmann method (LBM)':
Найдено статей: 2
  1. Zabello K.K., Garbaruk A.V.
    Investigation of the accuracy of the lattice Boltzmann method in calculating acoustic wave propagation
    Computer Research and Modeling, 2025, v. 17, no. 6, pp. 1069-1081

    The article presents a systematic investigation of the capabilities of the lattice Boltzmann method (LBM) for modeling the propagation of acoustic waves. The study considers the problem of wave propagation from a point harmonic source in an unbounded domain, both in a quiescent medium (Mach number $M=0$) and in the presence of a uniform mean flow ($M=0.2$). Both scenarios admit analytical solutions within the framework of linear acoustics, allowing for a quantitative assessment of the accuracy of the numerical method.

    The numerical implementation employs the two-dimensional D2Q9 velocity model and the Bhatnagar – Gross – Krook (BGK) collision operator. The oscillatory source is modeled using Gou’s scheme, while spurious high-order moment noise generated by the source is suppressed via a regularization procedure applied to the distribution functions. To minimize wave reflections from the boundaries of the computational domain, a hybrid approach is used, combining characteristic boundary conditions based on Riemann invariants with perfectly matched layers (PML) featuring a parabolic damping profile.

    A detailed analysis is conducted to assess the influence of computational parameters on the accuracy of the method. The dependence of the error on the PML thickness ($L_{\text{PML}}^{}$) and the maximum damping coefficient ($\sigma_{\max}^{}$), the dimensionless source amplitude ($Q'_0$), and the grid resolution is thoroughly examined. The results demonstrate that the LBM is suitable for simulating acoustic wave propagation and exhibits second-order accuracy. It is shown that achieving high accuracy (relative pressure error below $1\,\%$) requires a spatial resolution of at least $20$ grid points per wavelength ($\lambda$). The minimal effective PML parameters ensuring negligible boundary reflections are identified as $\sigma_{\max}^{}\geqslant 0.02$ and $L_{\text{PML}}^{} \geqslant 2\lambda$. Additionally, it is shown that for source amplitudes $Q_0' \geqslant 0.1$, nonlinear effects become significant compared to other sources of error.

    Keywords: lattice Boltzmann method (LBM), aeroacoustics, numerical simulation, regularization, PML layer, characteristic boundary conditions.
  2. Pogorelova E.A., Lobanov A.I.
    High Performance Computing for Blood Modeling
    Computer Research and Modeling, 2012, v. 4, no. 4, pp. 917-941

    Methods for modeling blood flow and its rheological properties are reviewed. Blood is considered as a particle suspencion. The methods are boundary integral equation method (BIEM), lattice Boltzmann (LBM), finite elements on dynamic mesh, dissipative particle dynamics (DPD) and agent based modeling. The analysis of these methods’ applications on high-performance systems with various architectures is presented.

    Keywords: blood, hemodynamics, nonnewtonian fluid, red blood cells, high performance computing.
    Views (last year): 2. Citations: 3 (RSCI).

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