• Corpus ID: 219179810

On the simulation of multicomponent and multiphase compressible flows

@article{Abgrall2020OnTS,
  title={On the simulation of multicomponent and multiphase compressible flows},
  author={R{\'e}mi Abgrall and Paola Bacigaluppi and Barbara Re},
  journal={ArXiv},
  year={2020},
  volume={abs/2006.01630}
}
The following paper presents two simulation strategies for compressible two-phase or multicomponent flows. One is a full non-equilibrium model in which the pressure and velocity are driven towards the equilibrium at interfaces by numerical relaxation processes, the second is a four-equation model that assumes stiff mechanical and thermal equilibrium between phases or components. In both approaches, the thermodynamic behaviour of each fluid is modelled independently according to the stiffened… 

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References

SHOWING 1-10 OF 28 REFERENCES

A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows

TLDR
A new model and a solution method for two-phase compressible flows is proposed that provides reliable results, is able to compute strong shock waves, and deals with complex equations of state.

Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator

TLDR
A novel pressure-based method for weakly compressible multiphase flows, based on a non-equilibrium Baer and Nunziato-type model with absence of oscillations and the agreement with analytical or published solutions is demonstrated in simplified test cases, confirming the validity of the proposed approach.

Design of a Second-Order Fully Explicit Residual Distribution Scheme for Compressible Multiphase Flows

TLDR
The novelty of this work is the capability of the presented approximation to provide mesh convergence and to be easily extended to 2D and unstructured meshes.

Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows

Simulation of compressible flows became a routine activity with the appearance of shock-/contact-capturing methods. These methods can determine all waves, particularly discontinuous ones. However,

Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations

Of the two-phase mixture models used to study deflagration-to-detonation transition in granular explosives, the Baer–Nunziato model is the most highly developed. It allows for unequal phase

How to Prevent Pressure Oscillations in Multicomponent Flow Calculations

A new numerical scheme for computing multicomponent flows is presented. It is able to handle strong shocks, is pressure oscillation free through the contact discontinuities, and guarantees the

A Mach‐uniform unstructured staggered grid method

A novel Mach‐uniform method to compute flows using unstructured staggered grids is discussed. The Mach‐uniform method is a generalization of the pressure‐correction approach for incompressible flows,