Navier--Stokes

Large-eddy simulation of a channel flow over an irregular porous matrix

For turbulent flows in porous media, it is often assumed that the irregularity of the matrix would not affect the macroscopic, double-averaged (in time and space), parameters of turbulence. Hence, to improve currently used modelling techniques, the …

Large eddy simulation of flow in porous media: Analysis of the commutation error of the double-averaged equations

The continuum approach employing porous media models is a robust and efficient solution method in the area of the simulation of fixed-bed reactors. This paper applies the double-averaging methodology to refine the continuum approach, opening a way to …

The capabilities of summation-by-parts and structure-preserving operators for compressible computational fluid dynamics and reaction-diffusion models

With the algorithm’s suitability for exploiting current petascale and next-generation exascale supercomputers, stable and structure-preserving properties are necessary to develop predictive computational tools. In this dissertation, …

Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations

In this thesis, we study the entropy stability of the compressible Navier-Stokes model along with a modification of the model. We use the discretization of the inviscid terms with the Ismail-Roe entropy conservative flux. Then, we study entropy …