solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看93次
Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media. (arXiv:1807.05656v1 [math.NA])
来源于:arXiv
Our goal of this paper is to develop a new upscaling method for multicontinua
flow problems in fractured porous media. We consider a system of equations that
describes flow phenomena with multiple flow variables defined on both matrix
and fractures. To construct our upscaled model, we will apply the nonlocal
multicontinua (NLMC) upscaling technique. The upscaled coefficients are
obtained by using some multiscale basis functions, which are solutions of local
problems defined on oversampled regions. For each continuum within a target
coarse element, we will solve a local problem defined on an oversampling region
obtained by extending the target element by few coarse grid layers, with a set
of constraints which enforce the local solution to have mean value one on the
chosen continuum and zero mean otherwise. The resulting multiscale basis
functions have been shown to have good approximation properties. To illustrate
the idea of our approach, we will consider a dual continua background mod 查看全文>>