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Journal of Scientific Computing

Erschienen in:

01.07.2020

Crank–Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid–Fluid Interaction Problems

verfasst von: Lingzhi Qian, Xinlong Feng, Yinnian He

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2020

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Abstract

A fully discrete Crank-Nicolson leap-frog time stepping decoupled (CNLFD) scheme is presented and studied for the fluid–fluid interaction problems. The proposed scheme deals with the spatial discretization by finite element method (FEM), treats the temporal discretization by CNLF scheme and decouples the nonlinear interface condition by using a geometric averaging of the jump. The unconditional stability and error estimate are proven. Numerical tests are performed to demonstrate the robustness of this method.

Vorheriger Artikel Error Analysis of a New Fractional-Step Method for the Incompressible Navier–Stokes Equations with Variable Density

Nächster Artikel Barrier Function Local and Global Analysis of an L1 Finite Element Method for a Multiterm Time-Fractional Initial-Boundary Value Problem

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Titel: Crank–Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid–Fluid Interaction Problems
verfasst von: Lingzhi Qian
Xinlong Feng
Yinnian He
Publikationsdatum: 01.07.2020
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-020-01254-5

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