We present an implicit-explicit finite volume scheme for two-fluid single-temperature flow in all Mach number regimes which is based on a symmetric hyperbolic thermodynamically compatible description of the fluid flow. The scheme is stable for large time steps controlled by the interface transport and is computational efficient due to a linear implicit character. The latter is achieved by linearizing along constant reference states given by the asymptotic analysis of the single-temperature model. Thus, the use of a stiffly accurate IMEX Runge Kutta time integration and the centered treatment of pressure based quantities provably guarantee the asymptotic preserving property of the scheme for weakly compressible Euler equations with variable volume fraction. The properties of the first and second order scheme are validated by several numerical test cases.

An Implicit-Explicit Solver for a Two-Fluid Single-Temperature Model / Lukáčová-Medvid'ová, Mária; Peshkov, Ilya; Thomann, Andrea. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 498:(2024), pp. 1-23. [10.1016/j.jcp.2023.112696]

An Implicit-Explicit Solver for a Two-Fluid Single-Temperature Model

Peshkov, Ilya
Secondo
;
2024-01-01

Abstract

We present an implicit-explicit finite volume scheme for two-fluid single-temperature flow in all Mach number regimes which is based on a symmetric hyperbolic thermodynamically compatible description of the fluid flow. The scheme is stable for large time steps controlled by the interface transport and is computational efficient due to a linear implicit character. The latter is achieved by linearizing along constant reference states given by the asymptotic analysis of the single-temperature model. Thus, the use of a stiffly accurate IMEX Runge Kutta time integration and the centered treatment of pressure based quantities provably guarantee the asymptotic preserving property of the scheme for weakly compressible Euler equations with variable volume fraction. The properties of the first and second order scheme are validated by several numerical test cases.
2024
Lukáčová-Medvid'ová, Mária; Peshkov, Ilya; Thomann, Andrea
An Implicit-Explicit Solver for a Two-Fluid Single-Temperature Model / Lukáčová-Medvid'ová, Mária; Peshkov, Ilya; Thomann, Andrea. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 498:(2024), pp. 1-23. [10.1016/j.jcp.2023.112696]
File in questo prodotto:
File Dimensione Formato  
2306.11515.pdf

accesso aperto

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Creative commons
Dimensione 932.76 kB
Formato Adobe PDF
932.76 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/399211
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 1
  • OpenAlex ND
social impact