RT Book, Section
T1 Well-balanced methods for compressible Euler equations with gravitational force that preserve transonic stationary solutions.
A1 Gómez Bueno, Irene
A1 Castro-Díaz, Manuel Jesús
A1 Parés-Madroñal, Carlos María
K1 Euler, Números de
K1 Método de los volúmenes finitos
AB In some previous works, the authors introduced a general methodology to design high-order well-balanced finite-volume methods for one-dimensional systems of balance laws based on the use of well-balanced state reconstructions. Local steady states have to be computed in the stencil of every cell, which is done by solving the ODE system satisfied by stationary solutions using collocation Runge-Kutta (RK) methods. A strategy to deal with resonant problems that is general, albeit problem-dependent, was also proposed and applied to the shallow-water model: the derivative of a transonic stationary solution at the sonic point can be analytically computed and this value is used in the computation of local steady state when a sonic point is detected. In this work, this technique is applied to the compressible Euler equations with gravitational force and the numerical results are checked.
PB Springer
YR 2024
FD 2024-06-06
LK https://hdl.handle.net/10630/33979
UL https://hdl.handle.net/10630/33979
LA eng
NO Gómez-Bueno, I., Castro, M.J., Parés, C. (2024). Well-Balanced Methods for Compressible Euler Equations with Gravitational Force that Preserve Transonic Stationary Solutions. In: Parés, C., Castro, M.J., Morales de Luna, T., Muñoz-Ruiz, M.L. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Volume II. HYP 2022. SEMA SIMAI Springer Series, vol 35. Springer, Cham. https://doi.org/10.1007/978-3-031-55264-9_8
NO https://www.springernature.com/gp/open-science/policies/book-policies
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026