617 research outputs found
An Explicit Fourth-Order Hybrid-Variable Method for Euler Equations with A Residual-Consistent Viscosity
In this paper we present a formally fourth-order accurate hybrid-variable
method for the Euler equations in the context of method of lines. The
hybrid-variable (HV) method seeks numerical approximations to both
cell-averages and nodal solutions and evolves them in time simultaneously; and
it is proved in previous work that these methods are inherent superconvergent.
Taking advantage of the superconvergence, the method is built on a third-order
discrete differential operator, which approximates the first spatial derivative
at each grid point, only using the information in the two neighboring cells.
Stability and accuracy analyses are conducted in the one-dimensional case for
the linear advection equation; whereas extension to nonlinear systems including
the Euler equations is achieved using characteristic decomposition and the
incorporation of a residual-consistent viscosity to capture strong
discontinuities. Extensive numerical tests are presented to assess the
numerical performance of the method for both 1D and 2D problems.Comment: 26 page
A reinforcement learning based decision support system in textile manufacturing process
This paper introduced a reinforcement learning based decision support system
in textile manufacturing process. A solution optimization problem of color
fading ozonation is discussed and set up as a Markov Decision Process (MDP) in
terms of tuple {S, A, P, R}. Q-learning is used to train an agent in the
interaction with the setup environment by accumulating the reward R. According
to the application result, it is found that the proposed MDP model has well
expressed the optimization problem of textile manufacturing process discussed
in this paper, therefore the use of reinforcement learning to support decision
making in this sector is conducted and proven that is applicable with promising
prospects
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