Balancing aspects of numerical dissipation,dispersion, and aliasing in time-accurate simulations |
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Authors: | Ayaboe K Edoh Nathan L Mundis Ann R Karagozian Venkateswaran Sankaran |
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Institution: | 1. Jacobs Engineering Group, Inc, Air Force Research Laboratory, Edwards AFB, California, USA;2. ERC, Inc, Air Force Research Laboratory, Edwards AFB, California, USA;3. Mechanical and Aerospace Engineering Department, University of California, Los Angeles, California, USA;4. Aerospace Systems Directorate, Air Force Research Laboratory, Edwards AFB, California, USA |
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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. |
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Keywords: | convection finite difference hyperbolic Navier-Stokes stabilized method turbulent flow |
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