Blar i Bergen Open Research Archive på forfatter "Svärd, Magnus"
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Convergence of Chandrashekar’s Second-Derivative Finite-Volume Approximation
Gjesteland, Anita; Svärd, Magnus (Journal article; Peer reviewed, 2023)We consider a slightly modified local finite-volume approximation of the Laplacian operator originally proposed by Chandrashekar (Int J Adv Eng Sci Appl Math 8(3):174–193, 2016, https://doi.org/10.1007/s12572-015-0160-z). ... -
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 stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition
Gjesteland, Anita; Svärd, Magnus (Journal article; Peer reviewed, 2022)We consider the compressible Navier-Stokes equations subject to no-slip adiabatic wall boundary conditions. The main goal is to investigate stability properties of schemes imposing the no-slip condition strongly (injection) ... -
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 ... -
Large Eddy Simulations by approximate weak entropy solutions
Svärd, Magnus (Journal article; Peer reviewed, 2022)We propose to use weak (averaged) entropy solutions in lieu of LES models. This approach unites the theory for shock capturing schemes and turbulence modelling. To achieve this, we identify a number of conditions (albeit ... -
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 ... -
Stability Issues of Entropy-Stable and/or Split-form High-order Schemes: Analysis of Linear Stability
Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J. (Journal article; Peer reviewed, 2022)The focus of the present research is on the analysis of local energy stability of high-order (including split-form) summation-by-parts methods, with e.g. two-point entropy-conserving fluxes, approximating non-linear ... -
A study of the diffusive properties of a modified compressible Navier-Stokes model
Svärd, Magnus; Munthe, Karl (Journal article; Peer reviewed, 2022)The aim of this study is to provide further validation for the weakly well-posed modified compressible Navier-Stokes system proposed in Svärd (Phys A 506:350–375, 2018) when applied to ideal gases. We do so by considering ... -
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 ...