Efficient constraint dynamics using MILC SHAKE

We address the problem of imposing rigid constraints between connected sites in a dynamic computer simulation. For two important cases, the linear and ring topologies, each site is connected to at most two nearest neighbors. The constraint matrix is then invertible in order n operations. We show tha...

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Veröffentlicht in:Journal of computational physics 2008-10, Vol.227 (20), p.8949-8959
Hauptverfasser: Bailey, A.G., Lowe, C.P., Sutton, A.P.
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Lowe, C.P.
Sutton, A.P.
description We address the problem of imposing rigid constraints between connected sites in a dynamic computer simulation. For two important cases, the linear and ring topologies, each site is connected to at most two nearest neighbors. The constraint matrix is then invertible in order n operations. We show that, this being the case, a computational method based on a matrix inversion of the linearized constraint equations (MILC SHAKE) can be orders of magnitude faster than the simple SHAKE or RATTLE methods.
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subjects Computational techniques
Constraints
Exact sciences and technology
Lagrange multipliers
Mathematical methods in physics
Molecular dynamics
Physics
RATTLE
SHAKE
Simulations
title Efficient constraint dynamics using MILC SHAKE
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