On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations

A. Del Grosso,M. Castro Díaz,C. Chalons,T. Morales de Luna

Applied Mathematics and Computation（2023）

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摘要

•Two-layer shallow water equations in Lagrangian coordinates.•Implicit-explicit well-balanced Lagrange-projection schemes.•Well-balanced approximate Riemann solver based on a relaxation approach.•Numerical simulations in subsonic regimes for two-layer flows.

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关键词

Hyperbolic partial differential equations,Lagrange-projection splitting,Two-layer shallow water,Implicit-explicit method,Well-balanced property

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