A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals

DOI10.4208/eajam.291018.070619zbMath1464.76126OpenAlexW3023156825MaRDI QIDQ4986586

Guanghua Ji

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.291018.070619

zbMATH Keywords

unconditional energy stabilityQ-tensor modellinear second-order scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Liquid crystals (76A15)

Related Items (3)

A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system ⋮ A BDF2 energy‐stable scheme for the binary fluid‐surfactant hydrodynamic model ⋮ Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

Cites Work

• Regularity criteria for a coupled Navier-Stokes and \(Q\)-tensor system
• Weak solutions for an initial-boundary \(\mathcal{Q}\)-tensor problem related to liquid crystals
• Lattice Boltzmann algorithm for three–dimensional liquid–crystal hydrodynamics
• Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows
• A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets
• Weak Time Regularity and Uniqueness for a $Q$-Tensor Model

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