Balancing aspects of numerical dissipation, dispersion, and aliasing in time‐accurate simulations
Abstract
The current study looks at the selection of scheme elements that are well‐suited for long‐time integration of unsteady flows in the absence or under‐resolution of physical diffusion. A concerted assembly of numerical components are chosen relative to a target aliasing limit, which is taken as a best‐case scenario for overall spectral resolvability. High‐order and optimized difference stencils are employed in order to achieve accuracy; meanwhile, quasi skew‐symmetric splitting techniques for nonlinear transport terms are used in order to greatly improve robustness. Finally, tunable and scale‐discriminant artificial‐dissipation methods are incorporated for de‐aliasing purposes and as a means of further enhancing both accuracy and stability. Central finite difference methods are considered, and spectral characterizations of the scheme components are presented. Canonical test cases (the isentropic vortex [IV] and Taylor‐Green vortex problems) are chosen in order to highlight the benefits associated with the proposed approach for enhancing overall algorithm robustness and accuracy.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 06, 2020
- Source ID
- 10.1002/fld.4837
Entities
People
- Ann Karagozian
- Ayaboe Edoh
- Nathan L. Mundis
- Venkateswaran Sankaran
Organizations
- Air Force Office of Scientific Research
- Air Force Research Laboratory
- Jacobs Engineering Group