Blar i Bergen Open Research Archive på forfatter "Svärd, Magnus"
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Convergence of energy stable finite-difference schemes with interfaces
Svärd, Magnus; Nordström, Jan (Journal article; Peer reviewed, 2021)We extend the convergence results in Svärd and Nordström (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates ... -
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 ... -
Entropy stable boundary conditions for the Euler equations
Svärd, Magnus (Journal article; Peer reviewed, 2021)We consider the initial-boundary value Euler equations with the aim to derive boundary conditions that yield an entropy bound for the physical (Navier-Stokes) entropy. We begin by reviewing the entropy bound obtained for ... -
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 ...