Reference: Nicos S. Martys, Raymond D. Mountain, Physical Review E, Volume 59, No. 3, pp. 3733-3736, March 1999.

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A velocity Verlet algorithm for dissipative particle dynamics based models of suspensions

Nicos S. Martys
Building Materials Division
National Institute of Standards and Technology
Gaithersburg, MD 20899-8621

Raymond D. Mountain
Physical and Chemical Properties Division
National Institute of Standards and Technology
Gaithersburg, MD 20899-8380

Abstract:

A velocity Verlet algorithm for velocity dependent forces is described for modeling a suspension of rigid body inclusions. The rigid body motion is determined from the quaternion-based scheme of Omelyan [10]. An iterative method to determine angular velocity in a self-consistent fashion for this quaternion based algorithm is presented. This method is tested for the case of liquid water. We also describe a method for evaluating the stress tensor for a system of rigid bodies that is consistent with the velocity Verlet alogorithm. Results are compared to the constraint-based rattle algorithm.





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