numerical methods for the stochastic landau lifshitz navier stokes equations john b bell alejandro l garcia sarah a williams center for computational sciences and engineering lawrence berkeley national laboratory berkeley ...
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...Numerical methods for the stochastic landau lifshitz navier stokes equations john b bell alejandro l garcia sarah a williams center computational sciences and engineering lawrence berkeley national laboratory california usa abstract llns incorporate thermal uctua tions into macroscopic hydrodynamics by using uxes this paper examines explicit eulerian discretizations of full several cfd approaches are considered including maccormack s two step lax wendro scheme piece wise parabolic method found to give good results about error variances momentum energy uctuations however neither these schemes accurately reproduces density we introduce conservative centered with third order runge kutta temporal integrator that does pro duce variety tests random walk standing shock wave from pde solver compared theory when available molecular simulations direct simulation monte carlo dsmc algorithm introduction have long been central topic statistical mechanics dating back light scattering predictions ray...