On a variance reduction technique for the micro-macro simulations of polymeric fluids
نویسندگان
چکیده
The micro-macro simulations of polymeric fluids couple the mass and momentum conservation equations at the macroscopic level, with a stochastic differential equation which models the evolution of the polymer configurations at the microscopic level (Brownian dynamics simulation). Accordingly, the system is discretized by a finite element method coupled with a Monte Carlo method. All the discrete variables are random, and the accuracy of the result highly depends on the variance of these random variables. We give here some elements of numerical analysis on the crucial issue of variance reduction in order to get results of a better quality for a given computational cost. The present analytical study only deals with a one dimensional case, but nevertheless gives a track for computational strategies that may apply to the more physically relevant two and three dimensional cases.
منابع مشابه
Spatially correlated noise and variance minimization in stochastic simulations
Brownian simulation methods have become a popular approach in computational rheology with the introduction of the CONNFFESSIT algorithmand themethod of Brownian configuration fields in the 1990s. Jourdain et al. [B. Jourdain, C.L. Bris, T. Lelievre, On a variance reduction technique formicro–macro simulations of polymeric fluids, J. Non-Newton. Fluid Mech. 122 (2004) 91–106] pointed out that bo...
متن کاملPlanar and SPECT Monte Carlo acceleration using a variance reduction technique in I131 imaging
Background: Various variance reduction techniques such as forced detection (FD) have been implemented in Monte Carlo (MC) simulation of nuclear medicine in an effort to decrease the simulation time while keeping accuracy. However most of these techniques still result in very long MC simulation times for being implemented into routine use. Materials and Methods: Convolution-based force...
متن کاملMathematical Analysis of a Stochastic Differential Equation Arising in the Micro-macro Modelling of Polymeric Fluids
متن کامل
Evaluation and comparison of Hela, Hep2C and Vero cell lines sensitivity to polio vaccinal virus using micro and macro vaccine potency tests
Poliomyelitis, an acute viral infectious disease caused by poliovirus, still remains a public health problem in developing countries. Despite the global effort to eradicate polio, continuing the polio immunization with a potent and safe vaccine is essential. For accurate vaccine evaluation, three types of cell lines including Hela, Hep2C and Vero were evaluated and compared using two methods of...
متن کاملDevelopment of a rheological model for polymeric fluids based on FENE model
Rheological models for polymer solutions and melts based on the finitely extensible non-linear elastic (FENE) dumbbell theory are reviewed in this study. The FENE-P model that is a well-known Peterlin approximation of the FENE model, indicates noticeable deviation from original FENE predictions and also experimental results, especially in the transient flow. In addition, both FENE and FENE-P mo...
متن کامل