Boundary and interface treatment of systems of PDEs
Summation-by-Parts finite differences and weak boundary/interface conditions
Stability of discretizations of PDEs
The Euler and Navier-Stokes equations
Publications
"Everyone has the right freely to participate in the cultural life of the community, to enjoy the arts and to share in scientific advancement and its benefits."
- Article 27, The Universal Declaration of Human Rights
Journal publications
J. Berg and J. Nordström.
On the impact of boundary conditions on dual consistent finite difference discretizations,
In Journal of Computational Physics
(Preprint)
J. Nordström and J. Berg.
Conjugate heat transfer for the unsteady compressible Navier-Stokes equations using a multi-block coupling,
In Computers & Fluids
(Preprint)
J. Berg and J. Nordström.
Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form,
In Journal of Computational Physics
(Preprint)
J. Berg and J. Nordström.
Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains,
In Applied Numerical Mathematics
(Preprint)
J. Berg and J. Nordström.
Superconvergent functional computations for time-dependent problems using SBP finite differences,
The 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), September 10-14, 2012, Vienna, Austria
J. Lindström and J. Nordström.
Stable and High Order Accurate Heat Transfer,
The 7th South African Conference on Computational and Applied Mechanics, SACAM10, Pretoria, 10-13 January 2010
J. Lindström, J. Nordström.
A stable and high order interface procedure for conjugate heat transfer problems,
Numerical Mathematics and Advanced Applications, 2009. Berlin, Springer-Verlag; 2010. p. 599-607
J. Lindström, J. Bejhed, and J. Nordström.
Measurements and Numerical Modelling of Orifice Flow in Microchannels,
AIAA Paper No. 2009-4098, the 41st AIAA Thermophysics Conference,
22 - 25 June 2009, San Antonio, USA
Reports
J. Berg and J. Nordström.
Using the compressible Navier-Stokes equations as a model for heat transfer in solids,
CTR Annual Research Briefs 2011, Stanford University, USA
J. Lindström and J. Nordström.
Well-posedness and stability of a coupled fluid flow and heat transfer problem,
CTR Annual Research Briefs 2009, Stanford University, USA