Vega, C.A.; Valbuena, S.; Bojato, J.B. A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model. Mathematics2024, 12, 407.
Vega, C.A.; Valbuena, S.; Bojato, J.B. A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model. Mathematics 2024, 12, 407.
Vega, C.A.; Valbuena, S.; Bojato, J.B. A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model. Mathematics2024, 12, 407.
Vega, C.A.; Valbuena, S.; Bojato, J.B. A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model. Mathematics 2024, 12, 407.
Abstract
In this work, an entropy-stable and well-balanced numerical scheme for a one-dimensional blood flow model is presented. Such scheme is obtained from an explicit entropy conservative flux along with a second order discretization of the source term by using centered finite differences. We prove that the scheme is entropy-stable and preserves steady-states solutions. In addition, some numerical examples are included to test the performance of the proposed scheme.
Computer Science and Mathematics, Applied Mathematics
Copyright:
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