Over the last ten years, robustness of schemes has raised an increasing interest among the CFD community. The objective of this article is to solve the quasi-one-dimensional compressible flow inside a “Shubin nozzle” and to investigate Bean-Warming and flux vector splitting methods for numerical solution of compressible flows. Two different conditions have been considered: first, there is a sup...

The distributed-relaxation multigrid and defectcorrection methods are applied to the twodimensional compressible Navier-Stokes equations. The formulation is intended for high Reynolds number applications and several applications are made at a laminar Reynolds number of 10,000. A staggeredgrid arrangement of variables is used; the coupled pressure and internal energy equations are solved togethe...

Compressible turbulence, especially the magnetized version of it, traditionally has a bad reputation with researchers. However, recent progress in theoretical understanding of incompressible MHD as well as that in computational capabilities enabled researchers to obtain scaling relations for compressible MHD turbulence. We discuss scalings of Alfven, fast, and slow modes in both magnetically do...

We consider the compressible barotropic Navier-Stokes system in one dimension, with a nonmonotonic equation of state. The associated free boundary problem is investigated, and we prove asymptotic properties of the unique globally defined solution for large time. We also make some comments on a related model of quantum fluid describing the dynamics of cold nuclear matter (zero temperature). @ 20...

Title of thesis: VELOCITY TRANSFORMATION FOR COMPRESSIBLE WALL TURBULENCE WITH HEAT TRANSFER Andrew Trettel, Master of Science, 2015 Thesis directed by: Professor Johan Larsson Department of Mechanical Engineering A transformation is derived that removes the effects of variable properties from wallbounded turbulent flows. The transformation derives from the logarithmic velocity profile and the ...

A discontinuous Galerkin Method based on a Bhatnagar-Gross-Krook (BGK) formulation is presented for the solution of the compressible Navier-Stokes equations on arbitrary grids. The idea behind this approach is to combine the robustness of the BGK scheme with the accuracy of the DG methods in an effort to develop a more accurate, efficient, and robust method for numerical simulations of viscous ...