Порівняння методів

	Згладжене частинкове гідродинамічне моделювання	Метод Латтіса Больцмана
Галузь	Гідродинаміка	Гідродинаміка
Родина	Process / pipeline	Process / pipeline
Рік появи	1977	1988
Автор методу	Monaghan John & Lucy Leon	Gianluigi Zanetti
Тип	Meshfree particle method	Kinetic theory-based simulation method
Основоположне джерело	Lucy, L. B. (1977). A numerical approach to the testing of the fission hypothesis. The Astronomical Journal, 82(12), 1013-1024.	McNamara, G. R., & Zanetti, G. (1988). Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters, 61(20), 2332-2335.
Інші назви	SPH, particle hydrodynamics	LBM, lattice gas automata
Пов'язані	5	5
Підсумок	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.	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.