Parallel implicit DNS of temporally-evolving turbulent shear layer instability

Ilyas Yilmaz*, Firat Oguz Edis, Hasan Saygin, Lars Davidson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this study, a temporally-evolving incompressible and compressible Turbulent Shear Layer (TSL) instability problem is solved using an all-speed (all-Mach), implicit, non-dissipative and kinetic energy conserving algorithm. An in-house, fully parallel, finite-volume Direct Numerical Simulation (DNS) solver was developed using PETSc. Convergence characteristics at low-Mach numbers were also improved using a relaxation procedure. We aim here to assess the performance and behavior of the present algorithm for complex flows which contain multi-scale physics and gradually evolve into turbulence. The results show that the algorithm is able to produce correct physical mechanisms and capture the evolution of the turbulent fluctuations for both incompressible and compressible cases. It is observed that the non-dissipative and kinetic energy conserving properties make the algorithm powerful and applicable to challenging problems. For higher Mach numbers, a shock-capturing or a dissipative mechanism is required for robustness.

Original languageEnglish
Pages (from-to)651-659
Number of pages9
JournalJournal of Computational and Applied Mathematics
Issue numberPART B
Publication statusPublished - 2014


Computing resources used in this work were provided by the National Center for High Performance Computing of Turkey (UYBHM) under grant number 1001212011 and TUBITAK–ULAKBIM, High Performance and Grid Computing Center (TRUBA Resources) . Since an earlier part of the work was carried out at Chalmers University of Technology during the first author’s research visit, IY thanks to Istanbul Technical University and The Scientific and Technological Research Council of Turkey (TUBITAK) for supporting his stay. The financial support of SNIC (Swedish National Infrastructure for Computing) during this period for computer time at C3SE (Chalmers Center for Computational Science and Engineering) under the Project SNIC001-10-22 is also gratefully acknowledged.

FundersFunder number
National Center for High Performance Computing of Turkey
Türkiye Bilimsel ve Teknolojik Araştirma KurumuSNIC001-10-22
Istanbul Teknik Üniversitesi


    • All-speed
    • Compressibility
    • DNS
    • Implicit
    • Parallel
    • TSL


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