A Study of Cell--Center Finite Volume Methods for Diffusion Equations
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by Weizhang Huang
http://titania.math.ukans.edu/~reports/1998/papers/981001.huang.ps.gz
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Abstract:
We discuss four cell--center finite volume schemes for differencing diffusion equations. Numerical results are presented for comparing the performance of these schemes on a number of meshes with varying degrees of skewness. It is shown that both the new continuous edge flux scheme and the existing vertex flux scheme are very stable and generate second order or nearly second order accurate results on moderately and highly skewed meshes. The other two existing schemes suffer from accuracy and stability problems on these types of meshes.
Citations
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| 7 | The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension – Castillo, Hyman, et al. - 1995 |
| 5 | A finite volume method for transonic potential flow calculations – Jameson, Caughey - 1977 |
