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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
computer science
A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
Journal of Computational Physics, Volume 225, No. 1, Year 2007
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Description
We construct a stable high-order finite difference scheme for the compressible Navier-Stokes equations, that satisfy an energy estimate. The equations are discretized with high-order accurate finite difference methods that satisfy a Summation-By-Parts rule. The boundary conditions are imposed with penalty terms known as the Simultaneous Approximation Term technique. The main result is a stability proof for the full three-dimensional Navier-Stokes equations, including the boundary conditions. We show the theoretical third-, fourth-, and fifth-order convergence rate, for a viscous shock, where the analytic solution is known. We demonstrate the stability and discuss the non-reflecting properties of the outflow conditions for a vortex in free space. Furthermore, we compute the three-dimensional vortex shedding behind a circular cylinder in an oblique free stream for Mach number 0.5 and Reynolds number 500. © 2007 Elsevier Inc. All rights reserved.
Authors & Co-Authors
Svärd, Magnus
United States, Palo Alto
Stanford University
Nordström, Jan
Sweden, Kista
Totalforsvarets Forskningsinstitut
Sweden, Uppsala
Uppsala Universitet
Sweden, Stockholm
The Royal Institute of Technology Kth
Statistics
Citations: 193
Authors: 2
Affiliations: 5
Identifiers
Doi:
10.1016/j.jcp.2007.01.023
ISSN:
00219991