Abstract
In this paper, we construct two new linear, decoupled, unconditionally energy stable finite element schemes for electrohydrodynamic model of charge transport with variable density dielectric fluid. The fully-decoupled schemes are achieved by the property of two nonlocal auxiliary variables and applying the operator Strang-splitting method. At each time step, all variables can be computed independently by solving a sequence of linear finite element schemes and algebraic equations. The solvability and unconditionally energy stability of the two schemes are rigorously demonstrated. Numerical experiments verify the effectiveness and stability of the proposed schemes.
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This paper is supported by National Key R &D Program of China (No. 2022YFA1004500), Natural Science Foundation of Fujian Province of China (No. 2021J01034) and Fundamental Research Funds for the Central Universities (No. 20720220038).
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He, Y., Chen, H. Decoupled and Unconditionally Energy Stable Finite Element Schemes for Electrohydrodynamic Model with Variable Density. J Sci Comput 96, 78 (2023). https://doi.org/10.1007/s10915-023-02304-4
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DOI: https://doi.org/10.1007/s10915-023-02304-4
Keywords
- Electrohydrodynamic model with variable density
- Fully-decoupled
- Finite element method
- Unconditional energy stability