We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asymptotics.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Brownian Configuration Fields (BCF)
- Convergence analysis
- Dumbbell model