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词条 P3M
释义

  1. References

  2. Further reading

{{DISPLAYTITLE:P3M}}{{for|the aircraft|Martin P3M}}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.

References

1. ^{{cite web|url =http://people.ee.duke.edu/~ayt/ewaldpaper/node15.html#SECTION00041000000000000000|archive-url =https://web.archive.org/web/20090821085337/http://people.ee.duke.edu/~ayt/ewaldpaper/node15.html#SECTION00041000000000000000|dead-url =yes|archive-date =2009-08-21|title =Fourier-based Ewald Summation Methods (Web Version)|accessdate =2009-03-01|df =}}
2. ^{{cite journal|doi =10.1016/0010-4655(96)00016-1|title=Fourier-based Ewald Summation Methods (Published Version) |bibcode = 1996CoPhC..95...73T }}
3. ^{{cite journal|doi =10.1016/S0010-4655(84)82783-6|title =P3M3DP-the three-dimensional periodic particle-particle/particle-mesh program|bibcode = 1984CoPhC..35..618E }}
4. ^{{cite web|url = http://link.aip.org/link/?JCPSA6/109/7694/1|title = How to mesh up Ewald sums. II. An accurate error estimate for the particle–particle–particle-mesh algorithm |accessdate = 2009-03-01}}
5. ^{{cite web|url =http://www.scholarpedia.org/article/N-body_simulations#P3M_and_PM-Tree_codes |title = N-body simulations, section P3M and PM Tree Codes|accessdate = 2009-03-01}}

Further reading

  • {{cite book|title=Computer simulation using particles|author1=Roger W. Hockney |author2=James W. Eastwood |chapter=Particle-Particle-Particle-Mesh (P3M) Algorithms|pages=267–304|publisher=CRC Press|year=1988|isbn=9780852743928}}
  • {{cite book|title=Molecular Simulation of Fluids|author=R. J. Sadus|pages=162–169|publisher=Elsevier Science|location=Amsterdam|chapter=Particle-Particle and Particle-Mesh (PPPM) Methods}}
  • {{cite book|title=Some New Directions in Science on Computers|editor1=Gyan Bhanot |editor2=Shiyi Chen |editor3=Philip Seiden |pages=286–287|chapter=Applications of N-body Methods to Studies of Large Scale Structure Formation in the Universe|author1=Randall Splinter |author2=S. Bhavsar |lastauthoramp=yes |publisher=World Scientific Publishing Co.|year=1997|isbn=981-02-3196-2}}
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