Abstract
Mathematical models for compressible two-phase flow of homogeneous fluids that occur in a liquid and a vapour phase can be classified as either belonging to the class of sharp interface models or to the class of diffuse interface models. Sharp interface models display the phase boundary as a sharp front separating two bulk model domains while diffuse interface models consist of a single model on the complete domain of interest such that phase boundaries are represented as transition zones. This contribution is devoted to a self-consistent introduction to both model classes.
Sharp interface models are analyzed within the theory of hyperbolic conservation laws with special focus on the Riemann problem. Based on the thermodynamically consistent solution of the Riemann problem a multidimensional finite volume method is introduced. For the associated diffuse interface ansatz the focus is on Navier–Stokes–Korteweg-type models. Several new variants are introduced which enable in particular thermodynamically consistent and asymptotically-preserving numerical discretizations. For all models it is assumed that the relevant spatial scale corresponds to fully resolved phase boundaries.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Rohde, C. (2018). Fully Resolved Compressible Two-Phase Flow: Modelling, Analytical and Numerical Issues. In: Bulíček, M., Feireisl, E., Pokorný, M. (eds) New Trends and Results in Mathematical Description of Fluid Flows. Nečas Center Series. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94343-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-94343-5_4
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-94342-8
Online ISBN: 978-3-319-94343-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)