Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain

作者：

Highlights：

• A two-dimensional generalized Oldroyd-B fluid model on a semiinfinite domain is considered.

• The time direction is approximated by the second order θ scheme combined with the weighted and shifted Gruünwald difference operator.

• For the case of unbounded space, the mixed Laguerre-Legendre spectral method is proposed.

• The theoretical analysis and numerical implementation of the scheme are discussed in detail.

• The numerical method can improve the convergence accuracy with low computational cost.

摘要

•A two-dimensional generalized Oldroyd-B fluid model on a semiinfinite domain is considered.•The time direction is approximated by the second order θ scheme combined with the weighted and shifted Gruünwald difference operator.•For the case of unbounded space, the mixed Laguerre-Legendre spectral method is proposed.•The theoretical analysis and numerical implementation of the scheme are discussed in detail.•The numerical method can improve the convergence accuracy with low computational cost.

论文关键词：Generalized Oldroyd-B fluid,Semi-infinite domain,Second order θ scheme,Laguerre-Legendre spectral method,Stability and convergence

论文评审过程：Received 14 March 2020, Revised 21 February 2021, Accepted 24 February 2021, Available online 13 March 2021, Version of Record 13 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126138