Efficient and Stable Time Integration of Cahn–Hilliard Equations: Explicit, Implicit, and Explicit Iterative Schemes
Copyright policy )Efficient and Stable Time Integration of Cahn–Hilliard Equations: Explicit, Implicit, and Explicit Iterative Schemes
The article proposes a new algorithm for numerical integration over time of the Cahn-Hilliard equation, based on the combined application of the Eyre splitting method and the local iteration modified (LIM) scheme for solving a finite-dimensional problem at each time step. The proposed method is gradient-stable and allows calculations with large time steps and has an explicit nature of calculations. The results of numerical calculations are presented, demonstrating the capabilities of the proposed method and its comparison with common methods of time integration of the Cahn– Hilliard equation.
- Moscow Engineering Physics Institute Russian Federation
- KELDYSH INSTITUTE OF APPLIED MATHEMATICS OF THE RUSSIAN ACADEMY OF SCIENCES Russian Federation
- Keldysh Institute of Applied Mathematics Russian Federation
- KELDYSH INSTITUTE OF APPLIED MATHEMATICS OF THE RUSSIAN ACADEMY OF SCIENCES Russian Federation
FOS: Computer and information sciences, FOS: Physical sciences, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Cahn-Hilliard equation, Computational Engineering, Finance, and Science (cs.CE), gradient-stable schemes, eyre splitting, FOS: Mathematics, local iteration modified scheme, Mathematics - Numerical Analysis, 65M20 (Primary) 65L04, 65L20 (Secondary), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Computer Science - Computational Engineering, Finance, and Science, Physics - Computational Physics
FOS: Computer and information sciences, FOS: Physical sciences, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Cahn-Hilliard equation, Computational Engineering, Finance, and Science (cs.CE), gradient-stable schemes, eyre splitting, FOS: Mathematics, local iteration modified scheme, Mathematics - Numerical Analysis, 65M20 (Primary) 65L04, 65L20 (Secondary), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Computer Science - Computational Engineering, Finance, and Science, Physics - Computational Physics
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