科研之友
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摘要
A new monotone finite volume method with second-order accuracy is presented for the steady-state advectiondiffusion equation. The method uses a nonlinear approximation for both diffusive and advective fluxes that guarantee the positivity of the numerical solution. The approximation of the diffusive flux is based on nonlinear two-point approximation, and the approximation of the advective flux is based on the second-order upwind method with proper slope limiter. The second-order convergence rate for concentration and the monotonicity of the nonlinear finite volume method are verified with numerical experiments.
- 出版日期2012-7-10
- 单位吉林大学; 北京应用物理与计算数学研究所
