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MUSCL-Interpolation for boundary cells

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April 26, 2014, 09:35	MUSCL-Interpolation for boundary cells	#1
yhy20081016 Member yehanyu Join Date: Mar 2012 Location: Beijing, China Posts: 48 Rep Power: 14	Hi, everybody. I'm currently working on the MUSCL scheme. I understand that the MUSCL scheme use piecewise linear approximations of each cell to obtain left and right state for each face, as shown in the following figure: However, what if the cell is adjacent to boundary? For example, in the figure above, suppose that $u_{j}$ is adjacent to boundary, and $u_{j+1}$ does not exist. In this situation, how can I determine the slope of in cell ? My current method is set the slope of to zero for cell . Is this method appropriate? Thank you very much.

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