So sánh phương pháp

	Thủy động lực học hạt làm mịn	Navier-Stokes trung bình Reynolds
Lĩnh vực	Động lực học chất lưu	Động lực học chất lưu
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1977	1895
Người khởi xướng	Monaghan John & Lucy Leon	Osborne Reynolds
Loại	Meshfree particle method	Computational turbulence modeling approach
Công trình gốc	Lucy, L. B. (1977). A numerical approach to the testing of the fission hypothesis. The Astronomical Journal, 82(12), 1013-1024.	Reynolds, O. (1895). On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Philosophical Transactions of the Royal Society A, 186, 123-164.
Tên gọi khác	SPH, particle hydrodynamics	RANS, Reynolds-averaged flow simulation
Liên quan	5	5
Tóm tắt	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 Reynolds-Averaged Navier-Stokes (RANS) equations represent a time-averaged form of the Navier-Stokes equations developed by Osborne Reynolds in 1895. This approach decomposes turbulent flow into mean and fluctuating components, enabling practical simulation of turbulent flows by modeling turbulent stresses rather than resolving all scales. RANS remains the most widely used computational fluid dynamics method in engineering applications due to its computational efficiency.