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math.NA2025
Semi-implicit strategies for the Serre-Green-Naghdi equations in hyperbolic form. Is hyperbolic relaxation really a good idea?
Emanuele Macca, Walter Boscheri, Mario Ricchiuto
The Serre-Green-Naghdi (SGN) equations provide a valuable framework for modelling fully nonlinear and weakly dispersive shallow-water flows. However, their elliptic formulation can…
math.NA2025
Semi-Implicit Central scheme for Hyperbolic Systems of Balance Laws with Relaxed Source Term
Sudipta Sahu, Emanuele Macca, Rathan Samala
Quasi-linear hyperbolic systems with source terms introduce significant computational challenges due to the presence of a stiff source term. To address this, a finite volume Nessya…