قارن الطرق

	الديناميكا المائية للجسيمات الملساء	معادلات نافييه-ستوكس المُمَثّلة برينولدز (RANS)
المجال	ديناميكا الموائع	ديناميكا الموائع
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1977	1895
صاحب الطريقة	Monaghan John & Lucy Leon	Osborne Reynolds
النوع	Meshfree particle method	Computational turbulence modeling approach
المصدر التأسيسي	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.
الأسماء البديلة	SPH, particle hydrodynamics	RANS, Reynolds-averaged flow simulation
ذات صلة	5	5
الملخص	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.