Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Solving a mixture model of twophase flow with velocity nonequilibrium using WENO wavelet methods
 International journal of numerical methods for heat & fluid flow 28 (2018), Nr.9, S.20522071 ISSN: 09615539 

 Englisch 
 Zeitschriftenaufsatz 
 Fraunhofer FCC () 
Abstract
Purpose
The purpose of this work is to present the implementation of weighted essentially nonoscillatory (WENO) wavelet methods for solving multiphase flow problems. The particular interest is gas–liquid twophase mixture with velocity nonequilibrium. Numerical simulations are carried out on different scenarios of onedimensional Riemann problems for gas–liquid flows. Results are validated and qualitatively compared with solutions provided by other standard numerical methods.
Design/methodology/approach
This paper extends the framework of WENO wavelet adaptive method to a fully hyperbolic twophase flow model in a conservative form. The grid adaptivity in each time step is provided by the application of a thresholded interpolating wavelet transform. This facilitates the construction of a small yet effective sparse point representation of the solution. The method of Lax–Friedrich flux splitting is used to resolve the spatial operator in which the flux derivatives are approximated by the WENO scheme.
Findings
Hyperbolic models of twophase flow in conservative form are efficiently solved, as shocks and rarefaction waves are precisely captured by the chosen methodology. Substantial computational gains are obtained through the grid reduction feature while maintaining the quality of the solutions. The results indicate that WENO wavelet methods are robust and sufficient to accurately simulate gas–liquid mixtures.
Originality/value
Resolution of twophase flows is rarely studied using WENO wavelet methods. It is the first time such a study on the relative velocity is reported in twophase flows using such methods.