Efficient Fully Discrete Summation-by-parts Schemes for Unsteady Flow Problems
2014 (English)Report (Other academic)
We make an initial investigation into the numerical efficiency of a fully discrete summation-by-parts approach for unsteady flows. As a model problem for the Navier-Stokes equations we consider a two-dimensional advection-diffusion problem with a boundary layer. The problem is discretized in space using finite difference approximations on summation-by-parts form together with weak boundary conditions, leading to optimal stability estimates. For the time integration part we consider various forms of high order summation-by-parts operators, and compare the results to other popular high order methods. To solve the resulting fully discrete equation system, we employ a multi-grid scheme with dual time stepping.
Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 17 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2014:18
unsteady flow calculations, time integration, initial value problems, high order accuracy, summation-by-parts operators, stability, efficiency.
Computational Mathematics Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-111167ISRN: LiTH-MAT-R--2014/18--SEOAI: oai:DiVA.org:liu-111167DiVA: diva2:754172