Abstract
We introduce a new method for solving systems of one-dimensional hyperbolic partial differential equations and present the first applications of this method. The piecewise linear interpolation method PLIM is shown to have the capability to preserve the shape of a propagating distribution and great applicability. Various difficult flow problems, such as the strong convection problem, the convection diffusion problem, and the reaction-diffusion problem, have been solved. In addition, the approximate hyperbolic equations technique (AHET) to handle the diffusion terms is introduced.
Original language | English |
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Pages (from-to) | 62-73 |
Journal | Journal of Computational Physics |
Volume | 111 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1994 |
MoE publication type | A1 Journal article-refereed |