Work

Exponential time difference methods with spatial exponential approximations for solving boundary layer problems

Year: 2024

Type: article

Abstract: In this work, an efficient and stable exponential time difference method is presented for solving boundary layer problems. By combining exponential time difference schemes with spatial direct discontinuous Galerkin discretization based on exponential boundary layer approximations, the proposed algorithm not only may admit large time step sizes but also could provide good spatial approximations even if on rather coarse spatial grids in the boundary layer. Some energy stabilities of the numerical scheme are rigorously derived. Numerical examples illustrate the accuracy, stability and efficiency of the algorithm.

Source: Numerical Methods for Partial Differential Equations

DOI: 10.1002/num.23145

Authors: Liyong Zhu, Xinwei Wang, Tianzheng Lu

Institution: Beihang University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: 一类边界层问题基于时空指数离散的高性能数值方法研究