TY - JOUR
T1 - Chebyshev-Legendre Spectral Domain Decomposition Method for Two-Dimensional Vorticity Equations
AU - Hua Wu, Jiajia Pan & Haichuan Zheng
JO - Communications in Computational Physics
VL - 5
SP - 1221
EP - 1241
PY - 2018
DA - 2018/04
SN - 19
DO - http://doi.org/10.4208/cicp.scpde14.18s
UR - https://global-sci.org/intro/article_detail/cicp/11126.html
KW - 
AB - <p style="text-align: justify;">We extend the Chebyshev-Legendre spectral method to multi-domain case
for solving the two-dimensional vorticity equations. The schemes are formulated in
Legendre-Galerkin method while the nonlinear term is collocated at Chebyshev-Gauss
collocation points. We introduce proper basis functions in order that the matrix of algebraic
system is sparse. The algorithm can be implemented efficiently and in parallel
way. The numerical analysis results in the case of one-dimensional multi-domain are
generalized to two-dimensional case. The stability and convergence of the method are
proved. Numerical results are given.</p>