论文标题
第二阶完全半拉格朗日对流扩散反应系统的离散
Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems
论文作者
论文摘要
我们为对流扩散反应方程系统的数值解决方案提出了二阶，完全半拉格朗日的方法，该方法采用半拉格朗日式方法来近似时间，对流和扩散项。标准插值程序用于在结构化和非结构化网格上的空间离散化。提出的方法允许大量时间步骤，同时避免了大型线性系统的解决方案，这将由隐式时间离散技术所要求。数值实验证明了所提出的方法的有效性及其相对于更常规的显式和隐性时间离散的效率
We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to approximate in time both the advective and the diffusive terms. Standard interpolation procedures are used for the space discretization on structured and unstructured meshes. The proposed method allows for large time steps, while avoiding the solution of large linear systems, which would be required by an implicit time discretization technique. Numerical experiments demonstrate the effectiveness of the proposed approach and its superior efficiency with respect to more conventional explicit and implicit time discretizations
