We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms.The expressions are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the flowfield scales as the inverse square of the Mach number. Agreement of the theory with direct Monte Carlo simulations shows that the use of equilibrium theory is justified.
- statistical error,
- low mach number
Available at: http://works.bepress.com/alejandro_garcia1/38/