Browsing Bergen Open Research Archive by Author "Svärd, Magnus"

Now showing items 1-3 of 3

Entropy solutions of the compressible Euler equations

Svärd, Magnus (Journal article, 2015-05-11)

We consider the three-dimensional Euler equations of gas dynamics on a bounded periodic domain and a bounded time interval. We prove that Lax-Friedrichs scheme can be used to produce a sequence of solutions with ever finer ...
On weak solutions and a covergent numerical scheme for the compressible Navier-Strokes Equations

Svärd, Magnus (Journal article, 2015-02-26)

In this paper, the three-dimensional compressible Navier-Stokes equations are considered on a periodic domain. We propose a semi-discrete numerical scheme and derive a priori bounds that ensures that the resulting system ...
Weak solutions and convergent numerical schemes of Brenner-Navier-Stokes equations

Svärd, Magnus (Research report, 2015-01-20)

Lately, there has been some interest in modifications of the compressible Navier-Stokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1-D Navier-Stokes ...