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Abbas, Qaisar
Publications (9 of 9) Show all publications
Eriksson, S., Abbas, Q. & Nordström, J. (2010). A Stable and Conservative Method of Locally Adapting the Design Order of Finite Difference Schemes. In: Proc. 7th South African Conference on Computational and Applied Mechanics (pp. 20:1-9). South African Association for Theoretical and Applied Mechanics
Open this publication in new window or tab >>A Stable and Conservative Method of Locally Adapting the Design Order of Finite Difference Schemes
2010 (English)In: Proc. 7th South African Conference on Computational and Applied Mechanics, South African Association for Theoretical and Applied Mechanics , 2010, p. 20:1-9Conference paper, Published paper (Other academic)
Place, publisher, year, edition, pages
South African Association for Theoretical and Applied Mechanics, 2010
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68536 (URN)
Available from: 2011-05-25 Created: 2011-05-24 Last updated: 2018-01-12Bibliographically approved
Pettersson, P., Abbas, Q., Iaccarino, G. & Nordström, J. (2010). Efficiency of Shock Capturing Schemes for Burgers' Equation with Boundary Uncertainty. In: Proc. 7th South African Conference on Computational and Applied Mechanics (pp. 22:1-8). South African Association for Theoretical and Applied Mechanics
Open this publication in new window or tab >>Efficiency of Shock Capturing Schemes for Burgers' Equation with Boundary Uncertainty
2010 (English)In: Proc. 7th South African Conference on Computational and Applied Mechanics, South African Association for Theoretical and Applied Mechanics , 2010, p. 22:1-8Conference paper, Published paper (Other academic)
Abstract [en]

Burgers’ equation with uncertain initial and boundary conditions is approximated using a polynomial chaos expansion approach where the solution is represented as a series of stochastic, orthogonal polynomials. Even though the analytical solution is smooth, a number of discontinuities emerge in the truncated system. The solution is highly sensitive to the propagation speed of these discontinuities. High-resolution schemes are needed to accurately capture the behavior of the solution. The emergence of different scales of the chaos modes require dissipation operators to yield accurate solutions. We will compare the results using the MUSCL scheme with previously obtained results using conventional one-sided operators.

Place, publisher, year, edition, pages
South African Association for Theoretical and Applied Mechanics, 2010
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68602 (URN)
Available from: 2011-05-24 Created: 2011-05-24 Last updated: 2018-01-12Bibliographically approved
Pettersson, P., Abbas, Q., Iaccarino, G. & Nordström, J. (2010). Efficiency of shock capturing schemes for Burgers' equation with boundary uncertainty. In: Numerical Mathematics and Advanced Applications: 2009 (pp. 737-745). Berlin: Springer-Verlag
Open this publication in new window or tab >>Efficiency of shock capturing schemes for Burgers' equation with boundary uncertainty
2010 (English)In: Numerical Mathematics and Advanced Applications: 2009, Berlin: Springer-Verlag , 2010, p. 737-745Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
Berlin: Springer-Verlag, 2010
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68603 (URN)10.1007/978-3-642-11795-4_79 (DOI)978-3-642-11794-7 (ISBN)
Available from: 2010-10-29 Created: 2011-05-24 Last updated: 2018-01-12
Abbas, Q., van der Weide, E. & Nordström, J. (2010). Energy Stability of the MUSCL Scheme. In: Proc. 7th South African Conference on Computational and Applied Mechanics (pp. 65:1-8). South African Association for Theoretical and Applied Mechanics
Open this publication in new window or tab >>Energy Stability of the MUSCL Scheme
2010 (English)In: Proc. 7th South African Conference on Computational and Applied Mechanics, South African Association for Theoretical and Applied Mechanics , 2010, p. 65:1-8Conference paper, Published paper (Other academic)
Place, publisher, year, edition, pages
South African Association for Theoretical and Applied Mechanics, 2010
National Category
Computational Mathematics
Identifiers
urn:nbn:se:liu:diva-68525 (URN)
Available from: 2011-05-25 Created: 2011-05-24 Last updated: 2013-08-30Bibliographically approved
Abbas, Q., van der Weide, E. & Nordström, J. (2010). Energy stability of the MUSCL scheme. In: Numerical Mathematics and Advanced Applications: 2009 (pp. 61-68). Berlin: Springer-Verlag
Open this publication in new window or tab >>Energy stability of the MUSCL scheme
2010 (English)In: Numerical Mathematics and Advanced Applications: 2009, Berlin: Springer-Verlag , 2010, p. 61-68Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
Berlin: Springer-Verlag, 2010
National Category
Computational Mathematics
Identifiers
urn:nbn:se:liu:diva-68526 (URN)10.1007/978-3-642-11795-4_5 (DOI)978-3-642-11794-7 (ISBN)
Available from: 2010-10-29 Created: 2011-05-24 Last updated: 2013-08-30
Law, C., Abbas, Q., Nordström, J. & Skews, B. W. (2010). The Effect of Reynolds Number in High Order Accurate Calculations with Shock Diffraction. In: Proc. 7th South African Conference on Computational and Applied Mechanics (pp. 78:1-8). South African Association for Theoretical and Applied Mechanics
Open this publication in new window or tab >>The Effect of Reynolds Number in High Order Accurate Calculations with Shock Diffraction
2010 (English)In: Proc. 7th South African Conference on Computational and Applied Mechanics, South African Association for Theoretical and Applied Mechanics , 2010, p. 78:1-8Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
South African Association for Theoretical and Applied Mechanics, 2010
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68560 (URN)
Available from: 2011-05-25 Created: 2011-05-24 Last updated: 2018-01-12Bibliographically approved
Abbas, Q. & Nordström, J. (2010). Weak versus strong no-slip boundary conditions for the Navier-Stokes equations. Engineering Applications of Computational Fluid Mechanics, 4, 29-38
Open this publication in new window or tab >>Weak versus strong no-slip boundary conditions for the Navier-Stokes equations
2010 (English)In: Engineering Applications of Computational Fluid Mechanics, ISSN 1994-2060, Vol. 4, p. 29-38Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68523 (URN)000276898600003 ()
Note
Original Publication: Qaisar Abbas and Jan Nordström, Weak versus strong no-slip boundary conditions for the Navier-Stokes equations, 2010, Engineering Applications of Computational Fluid Mechanics, (4), 29-38. Copyright: Engineering Applications of Computational Fluid Mechanics Available from: 2010-01-24 Created: 2011-05-24 Last updated: 2018-01-12
Abbas, Q., van der Weide, E. & Nordström, J. (2009). Accurate and stable calculations involving shocks using a new hybrid scheme. In: Proc. 19th AIAA CFD Conference. AIAA
Open this publication in new window or tab >>Accurate and stable calculations involving shocks using a new hybrid scheme
2009 (English)In: Proc. 19th AIAA CFD Conference, AIAA , 2009Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
AIAA, 2009
Series
Conference Proceeding Series ; 2009-3985
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68527 (URN)
Available from: 2009-11-04 Created: 2011-05-24 Last updated: 2018-01-12
Abbas, Q. & Nordström, J. (2008). Weak versus Strong No-Slip Boundary Conditions for the Navier-Stokes Equations. In: Proc. 6th South African Conference on Computational and Applied Mechanics (pp. 52-62). South African Association for Theoretical and Applied Mechanics
Open this publication in new window or tab >>Weak versus Strong No-Slip Boundary Conditions for the Navier-Stokes Equations
2008 (English)In: Proc. 6th South African Conference on Computational and Applied Mechanics, South African Association for Theoretical and Applied Mechanics , 2008, p. 52-62Conference paper, Published paper (Other academic)
Place, publisher, year, edition, pages
South African Association for Theoretical and Applied Mechanics, 2008
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:liu:diva-68524 (URN)978-0-620-43166-8 (ISBN)
Available from: 2009-05-20 Created: 2011-05-24 Last updated: 2018-01-12
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