A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers' equation

Autor:	Pan, Kejia, Wu, Xiaoxin, Yue, Xiaoqiang, Ni, Runxin
Rok vydání:	2018
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	In this paper, an efficient and high-order accuracy finite difference method is proposed for solving multidimensional nonlinear Burgers' equation. The third-order three stage Runge-Kutta total variation diminishing (TVD) scheme is employed for the time discretization, and the three-point combined compact difference (CCD) scheme is used for spatial discretization. Our method is third-order accurate in time and sixth-order accurate in space. The CCD-TVD method treats the nonlinear term explicitly thus it is very efficient and easy to implement. In addition, we prove the unique solvability of the CCD system under non-periodic boundary conditions. Numerical experiments including both two-dimensional and three-dimensional problems have been conducted to demonstrate the high efficiency and accuracy of the proposed method. Comment: 16 pages, 0 figures, 4 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.08407 Zobrazit plný text záznamu View this record from Arxiv