De Michele, Carlo (2023) Structure-preserving numerical simulation of compressible flows. [Tesi di dottorato]
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| Item Type: | Tesi di dottorato |
|---|---|
| Resource language: | English |
| Title: | Structure-preserving numerical simulation of compressible flows |
| Creators: | Creators Email De Michele, Carlo carlo.demichele2@unina.it |
| Date: | 25 December 2023 |
| Number of Pages: | 116 |
| Institution: | Università degli Studi di Napoli Federico II |
| Department: | Ingegneria Industriale |
| Dottorato: | Ingegneria industriale |
| Ciclo di dottorato: | 36 |
| Coordinatore del Corso di dottorato: | nome email Grassi, Michele michele.grassi@unina.it |
| Tutor: | nome email Coppola, Gennaro UNSPECIFIED |
| Date: | 25 December 2023 |
| Number of Pages: | 116 |
| Keywords: | computational fluid dynamics; Navier-Stokes equations; compressible flows; kinetic-energy preservation; entropy conservation |
| Settori scientifico-disciplinari del MIUR: | Area 09 - Ingegneria industriale e dell'informazione > ING-IND/06 - Fluidodinamica |
| Date Deposited: | 29 Dec 2023 15:32 |
| Last Modified: | 22 Apr 2026 07:29 |
| URI: | http://www.fedoa.unina.it/id/eprint/15602 |
Collection description
The presence of nonlinear instabilities represents a significant obstacle in the context of turbulence simulation. In both compressible and incompressible flows, the preservation of kinetic energy has been shown to mitigate the stability issue that is due to the accumulation of the aliasing error. This thesis focuses on shock-free compressible flows, for which the incorrect evolution of thermodynamic quantities can be another source of instabilities. In particular, the issues of entropy conservation and of preservation of the pressure equilibrium have been addressed. The spatial discretization of the energy equation and the induced discrete equations for other thermodynamic quantities have been theoretically analysed, providing a useful insight into the inner workings of numerical schemes. Various formulations for total and internal energy, total enthalpy, pressure, speed of sound and entropy have been considered and assessed using widely used tests. In the pursuit of structure-preserving simulations, the thesis introduces a hierarchy of numerical fluxes for the compressible flow equations which are kinetic-energy and pressure equilibrium preserving and asymptotically entropy conservative, i.e., they are able to arbitrarily reduce the numerical error on entropy production due to the spatial discretization. These schemes have been validated through basic test cases and and the simulation of a canonical turbulent channel flow, comparing them with some popular formulations from the literature. Being associated with fluxes that only use algebraic operations and characterized by the use of the harmonic mean for internal energy, these schemes are more computationally efficient than the entropy-conserving fluxes based on the logarithmic mean and offer a pragmatic approach to structure-preserving simulations for compressible flows.
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