Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
468975 | Computers & Mathematics with Applications | 2011 | 13 Pages |
Abstract
We propose and implement a relaxation method for solving unsteady linear and nonlinear convection–diffusion equations with continuous or discontinuity-like initial conditions. The method transforms a convection–diffusion equation into a relaxation system, which contains a stiff source term. The resulting relaxation system is then solved by a third-order accurate implicit–explicit (IMEX) Runge–Kutta method in time and a fifth-order finite difference WENO scheme in space. Numerical results show that the method can be used to effectively solve convection–diffusion equations with both smooth structures and discontinuities.
Related Topics
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Authors
Wensheng Shen, Changjiang Zhang, Jun Zhang,