เปรียบเทียบวิธี

	สมูทพาร์ติเคิลไฮโดรไดนามิกส์	สมการนาเวียร์-สโตกส์เฉลี่ยเรย์โนลด์
สาขาวิชา	พลศาสตร์ของไหล	พลศาสตร์ของไหล
ตระกูล	Process / pipeline	Process / pipeline
ปีกำเนิด	1977	1895
ผู้ริเริ่ม	Monaghan John & Lucy Leon	Osborne Reynolds
ประเภท	Meshfree particle method	Computational turbulence modeling approach
แหล่งต้นตำรับ	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.
ชื่อเรียกอื่น	SPH, particle hydrodynamics	RANS, Reynolds-averaged flow simulation
ที่เกี่ยวข้อง	5	5
สรุป	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.