A second-order scheme based on blended BDF for the incompressible MHD system

Liu, Shuaijun; Huang, Pengzhan; He, Yinnian

doi:10.1007/s10444-023-10073-9

Adv Comput Math

2023

DOI: 10.1007/s10444-023-10073-9

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A second-order scheme based on blended BDF for the incompressible MHD system

Shuaijun Liu,

Pengzhan Huang,

Yinnian He

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2024

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Cited by 2 publications

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Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Keram,

Huang

2024

Z Angew Math Mech

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In this paper, we design a decoupled, linear, unconditionally stable and fully discrete numerical scheme for a ferrohydrodynamics system with second‐order temporal accuracy. This scheme is based on a second‐order backward difference formula for time derivative terms and linearization extrapolation for nonlinear terms, which produces a series of decoupled linear equations and solves effectively this nonlinear and multiphysical coupled system. Meanwhile, we show that the scheme is unconditionally stable. Finally, some numerical experiments are provided to verify the theoretical finding and illustrate the accuracy and efficiency of the proposed scheme.

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Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Keram,

Huang

2024

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

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Finite Element Analysis of Linearly Extrapolated Blended Backward Difference Formula (Blebdf) for the Natural Convection Flows

Ak,

Akbas

2024

Maltepe Journal of Mathematics

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In this paper, we study the stability and convergence of fully discrete finite element method with grad-div stabilization for the incompressible non-isothermal fluid flows. The proposed scheme uses finite element discretization in space and linearly extrapolated blended Backward Differentiation Formula (BLEBDF) in time. We prove the unconditional stability over finite time interval and optimally convergence of the scheme. We also present numerical experiments to verify our theoretical convergence rates and show the reliability of the scheme.

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A second-order scheme based on blended BDF for the incompressible MHD system

Cited by 2 publications

References 47 publications

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Finite Element Analysis of Linearly Extrapolated Blended Backward Difference Formula (Blebdf) for the Natural Convection Flows

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