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Publications (10 of 15) Show all publications
Nordström, J., Ham, F., Shoeybi, M., van der Weide, E., Svärd, M., Mattsson, K., . . . Gong, J. (2009). A hybrid method for unsteady inviscid fluid flow. Computers & Fluids, 38, 875-882
Open this publication in new window or tab >>A hybrid method for unsteady inviscid fluid flow
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2009 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 38, p. 875-882Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68596 (URN)10.1016/j.compfluid.2008.09.010 (DOI)000264305000014 ()
Available from: 2007-11-29 Created: 2011-05-24 Last updated: 2018-01-12
Nordström, J., Ham, F., Shoeybi, M., van der Weide, E., Svärd, M., Mattsson, K., . . . Gong, J. (2007). A Hybrid Method for Unsteady Fluid Flow.
Open this publication in new window or tab >>A Hybrid Method for Unsteady Fluid Flow
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2007 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2007-020
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68597 (URN)
Available from: 2007-09-05 Created: 2011-05-24 Last updated: 2018-01-12
Nordström, J., Mattsson, K. & Swanson, C. (2007). Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations. Journal of Computational Physics, 225, 874-890
Open this publication in new window or tab >>Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations
2007 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 225, p. 874-890Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68598 (URN)10.1016/j.jcp.2007.01.010 (DOI)000248854300044 ()
Available from: 2007-07-21 Created: 2011-05-24 Last updated: 2018-01-12
Mattsson, K., Svärd, M., Carpenter, M. & Nordström, J. (2007). High-order accurate computations for unsteady aerodynamics. Computers & Fluids, 36, 636-649
Open this publication in new window or tab >>High-order accurate computations for unsteady aerodynamics
2007 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 36, p. 636-649Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68574 (URN)10.1016/j.compfluid.2006.02.004 (DOI)000243716200012 ()
Available from: 2006-12-09 Created: 2011-05-24 Last updated: 2018-01-12
Nordström, J., Mattsson, K. & Swanson, C. (2006). Boundary Conditions for a Divergence Free Velocity-Pressure Formulation of the Incompressible Navier-Stokes Equations.
Open this publication in new window or tab >>Boundary Conditions for a Divergence Free Velocity-Pressure Formulation of the Incompressible Navier-Stokes Equations
2006 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2006-026
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68599 (URN)
Available from: 2008-02-09 Created: 2011-05-24 Last updated: 2018-01-12
Mattsson, K. & Nordström, J. (2006). High order finite difference methods for wave propagation in discontinuous media. Journal of Computational Physics, 220, 249-269
Open this publication in new window or tab >>High order finite difference methods for wave propagation in discontinuous media
2006 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 220, p. 249-269Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68571 (URN)10.1016/j.jcp.2006.05.007 (DOI)000243079600013 ()
Available from: 2006-11-21 Created: 2011-05-24 Last updated: 2018-01-12
Svärd, M., Mattsson, K. & Nordström, J. (2005). Steady-State Computations Using Summation-by-Parts Operators. Journal of Scientific Computing, 24, 79-95
Open this publication in new window or tab >>Steady-State Computations Using Summation-by-Parts Operators
2005 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 24, p. 79-95Article in journal (Refereed) Published
Abstract [en]

This paper concerns energy stability on curvilinear grids and its impact on steady-state calulations. We have done computations for the Euler equations using fifth order summation-by-parts block and diagonal norm schemes. By imposing the boundary conditions weakly we obtain a fifth order energy-stable scheme. The calculations indicate the significance of energy stability in order to obtain convergence to steady state. Furthermore, the difference operators are improved such that faster convergence to steady state are obtained.

Keywords
High order finite differences; summation-by-parts operators; convergence to steady state; stability.
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68616 (URN)10.1007/s10915-004-4788-2 (DOI)
Available from: 2007-01-26 Created: 2011-05-24 Last updated: 2018-11-29
Mattsson, K., Svärd, M. & Nordström, J. (2004). Stable and Accurate Artificial Dissipation. Journal of Scientific Computing, 21, 57-79
Open this publication in new window or tab >>Stable and Accurate Artificial Dissipation
2004 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 21, p. 57-79Article in journal (Refereed) Published
Abstract [en]

Stability for nonlinear convection problems using centered difference schemesrequire the addition of artificial dissipation. In this paper we present dissipationoperators that preserve both stability and accuracy for high order finite differenceapproximations of initial boundary value problems.

National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68576 (URN)10.1023/B:JOMP.0000027955.75872.3f (DOI)
Available from: 2007-01-26 Created: 2011-05-24 Last updated: 2018-11-29
Mattsson, K. & Nordström, J. (2004). Summation by parts operators for finite difference approximations of second derivatives. Journal of Computational Physics, 199, 503-540
Open this publication in new window or tab >>Summation by parts operators for finite difference approximations of second derivatives
2004 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 199, p. 503-540Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:liu:diva-68570 (URN)10.1016/j.jcp.2004.03.001 (DOI)
Available from: 2007-01-26 Created: 2011-05-24 Last updated: 2017-12-11
Mattsson, K., Svärd, M., Carpenter, M. & Nordström, J. (2003). Accuracy requirements for transient aerodynamics. In: Proc. 16th AIAA CFD Conference. AIAA
Open this publication in new window or tab >>Accuracy requirements for transient aerodynamics
2003 (English)In: Proc. 16th AIAA CFD Conference, AIAA , 2003Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
AIAA, 2003
Series
Conference Proceeding Series ; 2003-3689
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68572 (URN)
Available from: 2007-01-26 Created: 2011-05-24 Last updated: 2018-01-12
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0003-0843-3321

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