A high resolution NV/TVD Hermite polynomial upwind scheme for convection‐dominated problems |
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| Authors: | Wei Gao Hong Li Yang Liu |
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| Institution: | School of Mathematical Sciences, Inner Mongolia University, , Hohhot, China |
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| Abstract: | A high‐order convection‐bounded scheme is constructed by combining the total variational diminishing constraint and convection boundedness criterion condition in the normalized variable formulation. It employs the Hermite polynomial interpolation to design its characteristic line in the normalized variable diagram. Numerical results of the convection‐dominated problems with smooth or discontinuous initial distributions demonstrate the present scheme possesses high resolution and good robustness. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | high resolution TVD CBC normalized variable convection |
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