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

Xiaoqing Chi and Xiaoyun Jiang

Applied Mathematics and Computation, 2021, vol. 402, issue C

Abstract: In this paper, we study the numerical solution for a two-dimensional generalized Oldroyd-B fluid flowing on a semi-infinite domain. The second order θ scheme with the weighted and shifted Grünwald difference operator is derived to approximate the time derivatives with orders in (0,2). For the case of unbounded space, the Laguerre-Legendre spectral method is proposed. The fully discrete scheme is obtained and proved to be stable, convergent with accuracy O(τ2+N(1−s)/2+M1−r), where τ is the time step size, N,M are the polynomial degrees. We also implement some numerical examples to further support the theoretical analysis.

Keywords: Generalized Oldroyd-B fluid; Semi-infinite domain; Second order θ scheme; Laguerre-Legendre spectral method; Stability and convergence (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321001867

DOI: 10.1016/j.amc.2021.126138

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