Numerical modelling of compressible two-phase flows

This paper presents a hierarchy of compressible two-phase flow models. It is shown that using Chapman-Enskog expansions in the limit of zero relaxation time toward the various equilibria that exist in these flows, a full set of models of decreasing complexity can be constructed. At the top of this hierarchy, we have a complete seven equation...

The Weighted Least Square Scheme for Multidimensional Flows

This article describes the development of a high order finite volume method for the solution of transonic flows. The high order of accuracy is achieved by a reconstruction procedure similar to the weighted essentially non-oscillatory schemes (WENO). On the contrary to the WENO schemes, the weighted least square (WLSQR) scheme is easily...

Low dissipative methods for turbulent reacting flows

Modeling of scalar transport is an essential point in the simulation of non-premixed turbulent combustion. The fuel and oxidizer streams are, in general, modeled with an equation for the mixture fraction $Z$. This mixture fraction is a bounded function, i.e. it can never become large than one or smaller than zero. Symmetric central differencing...

Recent advances in the immersed boundary method

In this paper we discuss some of the recent advances in the immersed boundary (IB) method. More specifically, we show the application of this technique to problems with strong fluid/structure interaction and to compressible flows using local mesh refinement. These extensions are a must for the success of the IB method in industrial applications.

Time dependent adaptation for compressible flows

The paper deals with the algorithm for unsteady anisotropic adaptation. The adaptation is using the remeshing approach to create a new refined grid. The grid is generated in computational space defined by metric field based on the tensor error indicator. The verification of the method is done first for 2D supersonic flow in a channel with...

Error estimation and adjoint-based adaptation in aerodynamics

We give an overview of recent developments in error estimation and in residual-based and goal-oriented (adjoint-based) adaptation for Discontinuous Galerkin discretizations of sub- and supersonic viscous compressible flows. We also give an outlook on the planned continuation of this research in the EU project ADIGMA.