On the robust solution of Convection-Diffusion Equation coupled with Stokes equation
نویسندگان
چکیده
The dynamics of concentration of small particles ruled by external velocity flow field plays a significant role for research and applications in natural science and industry. A big variety of such problems are described mathematically as convection-diffusion equations coupled with Stokes equation. Convection-dominated is the most common case in such problems. Standard numerical schemes for simulation of concentration lead to spurious oscillations and instabilities of the discrete approximation. A commonly used for such problems SUPG (streamline-upwind Petrov-Galerkin) method is compared with more recently developed EAFE (edge-averaged finite element) scheme. For the latter method we also derive error analysis for non-stationary case. In section 2 we introduce a mathematical description of the problem. Two ways of constructing a robust numerical solution of the state equation are discussed in Section 3. Section 4 is devoted to corresponding numerical experiments.
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تاریخ انتشار 2012