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A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model

Author

Listed:
  • Carlos A. Vega

    (Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla 080001, Colombia)

  • Sonia Valbuena

    (Grupo de Investigación GIMED, Universidad del Atlántico, Barranquilla 080001, Colombia)

  • Jesús Blanco Bojato

    (Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla 080001, Colombia)

Abstract

In this work, an entropy-stable and well-balanced numerical scheme for a one-dimensional blood flow model is presented. Such a scheme was obtained from an explicit entropy-conservative flux along with a second-order discretisation of the source term by using centred finite differences. We prove that the scheme is entropy-stable and preserves steady-state solutions. In addition, some numerical examples are included to test the performance of the proposed scheme.

Suggested Citation

  • Carlos A. Vega & Sonia Valbuena & Jesús Blanco Bojato, 2024. "A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model," Mathematics, MDPI, vol. 12(3), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:3:p:407-:d:1327392
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