Порівняння методів

	Метод Латтіса Больцмана	Згладжене частинкове гідродинамічне моделювання
Галузь	Гідродинаміка	Гідродинаміка
Родина	Process / pipeline	Process / pipeline
Рік появи	1988	1977
Автор методу	Gianluigi Zanetti	Monaghan John & Lucy Leon
Тип	Kinetic theory-based simulation method	Meshfree particle method
Основоположне джерело	McNamara, G. R., & Zanetti, G. (1988). Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters, 61(20), 2332-2335.	Lucy, L. B. (1977). A numerical approach to the testing of the fission hypothesis. The Astronomical Journal, 82(12), 1013-1024.
Інші назви	LBM, lattice gas automata	SPH, particle hydrodynamics
Пов'язані	5	5
Підсумок	The Lattice Boltzmann Method (LBM) is a kinetic theory-based computational approach to fluid dynamics that discretizes the Boltzmann equation on a lattice grid. Developed by McNamara and Zanetti in 1988, LBM computes fluid behavior by tracking the distribution of particle velocities at discrete lattice nodes rather than solving the Navier-Stokes equations directly. This method naturally incorporates complex physics (turbulence, multiphase flows, porous media) and is highly parallelizable, making it increasingly popular for modern computational platforms.	Smoothed Particle Hydrodynamics (SPH) is a meshfree particle method for simulating fluid dynamics, developed independently by Lucy in 1977 and Gingold and Monaghan in 1977. Rather than discretizing on a fixed grid, SPH represents fluids as collections of particles that carry mass, momentum, and energy. Each particle interacts with neighbors within a kernel support radius, enabling natural handling of free surfaces, large deformations, and multiphase flows without remeshing. SPH has become indispensable for simulations involving violent flows, impacts, and complex interfaces.