High-order well-balanced methods for systems of balance laws: a control-based approach

2020/12/16 by Irene Gómez-Bueno, Manuel J. Castro, Carlos Parés · 3 citations
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory

paper · doi:10.1016/j.amc.2020.125820

openalex publication_date 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Citations

• Total variation diminishing Runge-Kutta schemes
• Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Well-balanced schemes to capture non-explicit steady states: Ripa model

Cited by

• Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
• High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties, friction and gravity
• Structure-preserving nodal DG method for Euler equations with gravity II: general equilibrium states