A linearized BDF2 virtual element method for the unsteady Brinkman–Forchheimer equations with variable time step

Yanping Chen and Yu Xiong

Chaos, Solitons & Fractals, 2024, vol. 187, issue C

Abstract: This paper is devoted to a lowest order virtual element method for the unsteady incompressible Brinkman–Forchheimer equations on polygonal mesh, while a linearized variable-time-step second order backward differentiation formula is adopted in time. We utilize discrete orthogonal convolution and discrete complementary convolution kernels to obtain error estimates for the solutions of time-discrete system. By virtue of the temporal–spatial error splitting approach, and under the current mildest adjacent time-step ratio condition: 0Keywords: Brinkman–Forchheimer equations; Virtual element; BDF2 scheme; Variable time step; Polygonal mesh (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009676

DOI: 10.1016/j.chaos.2024.115415

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