Particle–Particle–Particle–Mesh (P3M) is a Fourier-based Ewald summation method[1][2] to calculate potentials in N-body simulations.[3][4][5]
The potential could be the electrostatic potential among N point charges i.e. molecular dynamics, the gravitational potential among N gas particles in e.g. smoothed particle hydrodynamics, or any other useful function. It is based on the particle mesh method, where particles are interpolated onto a grid, and the potential is solved for this grid (e.g. by solving the discrete Poisson equation). This interpolation introduces errors in the force calculation, particularly for particles that are close together. Essentially, the particles are forced to have a lower spatial resolution during the force calculation. The P3M algorithm attempts to remedy this by calculating the potential through a direct sum for particles that are close, and through the particle mesh method for particles that are separated by some distance.
^"Fourier-based Ewald Summation Methods (Web Version)". Archived from the original on 2009-08-21. Retrieved 2009-03-01.
Particle–Particle–Particle–Mesh (P3M) is a Fourier-based Ewald summation method to calculate potentials in N-body simulations. The potential could be...
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special-purpose aircraft. The U.S. Navy had adopted the Consolidated P2Y and Martin P3M models for this role in 1931, but both aircraft were underpowered and hampered...
new twin-engined flying boat, the Model 162, to succeed its earlier Martin P3M and complement the PBY Catalina and PB2Y Coronado. It received an order for...
13, 2012. Retrieved June 10, 2012. "PERSONA 3 THE MOVIE" (in Japanese). P3m.jp. Archived from the original on May 13, 2015. Retrieved July 17, 2013....
October 2016. "Project Speed Briefing" (PDF). ACE. February 2021. "NR/L2/P3M/201 - Project Acceleration in a Controlled Environment (PACE) | Engineering360"...
Boltzmann transport Monte Carlo (BTMC) and particle-particle-particle-mesh (P3M). The first one uses Monte Carlo method to solve the Boltzmann equation,...
Patrol 1924 Production 36 Martin P2M US Flying boat Transport 1929 78 Martin P3M US Flying boat Patrol 1920s Martin P5M Marlin US Flying boat Patrol 1948...
( n ) ) {\displaystyle O(n\log(n))} ), particle-particle-particle mesh (P3M), or good spherical cutoff methods ( O ( n ) {\displaystyle O(n)} ). [citation...
2019. "Celebrity Sole Survivor Betong Sumaya reveals that he will use the P3M prize to pay debts | Showbiz". GMA News. Retrieved November 13, 2019. Twitter...
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