We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Thermodynamical Extension of a Symplectic Numerical Scheme with Half Space and Time Shifts Demonstrated on Rheological Waves in Solids.
- Authors
Fülöp, Tamás; Kovács, Róbert; Szücs, Mátyás; Fawaier, Mohammad
- Abstract
On the example of the Poynting–Thomson–Zener rheological model for solids, which exhibits both dissipation and wave propagation, with nonlinear dispersion relation, we introduce and investigate a finite difference numerical scheme. Our goal is to demonstrate its properties and to ease the computations in later applications for continuum thermodynamical problems. The key element is the positioning of the discretized quantities with shifts by half space and time steps with respect to each other. The arrangement is chosen according to the spacetime properties of the quantities and of the equations governing them. Numerical stability, dissipative error, and dispersive error are analyzed in detail. With the best settings found, the scheme is capable of making precise and fast predictions. Finally, the proposed scheme is compared to a commercial finite element software, COMSOL, which demonstrates essential differences even on the simplest—elastic—level of modeling.
- Subjects
SPACETIME; THEORY of wave motion; FINITE differences; DISPERSION relations; SOLIDS; PLANT propagation
- Publication
Entropy, 2020, Vol 22, Issue 2, p155
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e22020155