New two-level leapfrog scheme for modeling the stochastic Landau-Lifshitz equations
315 - 334
Computational Mathematics and Mathematical Physics
MetadataShow full item record
A two-level modification of the classical nondissipative leapfrog scheme with nonlinear flux correction has been developed for fluctuating hydrodynamics problems. The new algorithm has shown to satisfy the fluctuation-dissipation theorem to high accuracy. The results of various numerical tests, including equilibrium, nonequilibrium, one-, and two-dimensional systems, are compared with theoretical predictions, direct molecular simulations, and results produced by MacCormack's schemes, the piecewise parabolic method, and a third-order Runge-Kutta scheme. The new algorithm is well suited for parallel computations due to its implementation simplicity and compact stencil. © Pleiades Publishing, Ltd., 2014.
AuthorsGlotov, VY; Goloviznin, VM; Karabasov, SA; Markesteijn, AP
- College Publications