Stability analysis of the one-dimensional GLD-Lagrangian scheme
DOI:
https://doi.org/10.5540/03.2025.011.01.0484Palabras clave:
Generalized Lie Derivative, Lagrangian Scheme, Finite Difference Method, Numerical StabilityResumen
Given the ongoing study of formulations and stabilizing methods for constitutive models, this work discusses the stability analysis of a particular case of a new discretization scheme. The proposed scheme is based on a reformulation of the upper-convected time derivative. This reformulation is over a Lagrangian framework and uses the generalized Lie derivative. The stability analysis is carried out for the first-order scheme and shows that the scheme supports the CFL type restriction, proving to be viable for numerical simulations.
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