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<p>In this paper, we present the SUSHI scheme (Scheme Using Stabilization and Hybrid Interfaces) for solving the Chemotaxis problem, which is a coupled system of non-linear parabolic-elliptic equations. The first equation describes the density of the cell population, while the second equation describes the concentration of the chemoattractant. We have shown that our proposed scheme satisfies the discrete maximum principle, under certain assumptions. Moreover, numerical simulations are performed to demonstrate the effectiveness of the SUSHI scheme.</p>

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Numerical Simulation of Chemotaxis Systems Using the Finite Volume SUSHI Scheme

  • 期刊论文

  • 发表日期：

    2026年4月3日

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  • Khiri Mohamed,
  • Lahrache Manar,
  • Rhoudaf Mohamed

摘要

In this paper, we present the SUSHI scheme (Scheme Using Stabilization and Hybrid Interfaces) for solving the Chemotaxis problem, which is a coupled system of non-linear parabolic-elliptic equations. The first equation describes the density of the cell population, while the second equation describes the concentration of the chemoattractant. We have shown that our proposed scheme satisfies the discrete maximum principle, under certain assumptions. Moreover, numerical simulations are performed to demonstrate the effectiveness of the SUSHI scheme.