This paper looks at the use of high-resolution and very high-order methods for implicit large-eddy simulation (ILES), with the specific example of simulating the multicomponent two-dimensional single-mode Richtmyer–Meshkov instability for which experimental data is available. The two gases are air and SF6, making stringent demands on the models used in the code. The interface between the two gases is initialized with a simple sinusoidal perturbation over a wavelength of , and a shock of strength Mach 1.3 is passed through this interface. The main comparison is between the second-order monotone upwind-centered scheme for conservation law methods of van Leer (1979, “Towards the Ultimate Conservative Difference Scheme,” J. Comput. Phys. 32, pp. 101–136) and the current state-of-the-art weighted essentially nonoscillatory interpolation, which is presented to ninth order, concentrating on the effect on resolution of the instability on coarse grids. The higher-order methods as expected provide better resolved and more physical features than the second-order methods on the same grid resolution. While it is not possible to make a definitive statement, the simulations have indicated that the extra time required for the higher-order reconstruction is less than the time saved by being able to obtain the same or better accuracy at lower computational cost (fewer grid points). It should also be noted that all simulations give a good representation of the growth rate of the instability, comparing very favorably to the experimental results, and as such far better than the currently existing theoretical models. This serves to further indicate that the ILES approach is capable of providing accurately physical information despite the lack of any formal subgrid model.
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e-mail: a.d.mosedale@cranfield.ac.uk
e-mail: d.drikakis@cranfield.ac.uk
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December 2007
Research Papers
Assessment of Very High Order of Accuracy in Implicit LES models
Andrew Mosedale,
Andrew Mosedale
Fluid Mechanics & Computational Science Group, Aerospace Sciences Department, School of Engineering,
e-mail: a.d.mosedale@cranfield.ac.uk
Cranfield University
, Cranfield MK43 0AL, United Kingdom
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Dimitris Drikakis
Dimitris Drikakis
Fluid Mechanics & Computational Science Group, Aerospace Sciences Department, School of Engineering,
e-mail: d.drikakis@cranfield.ac.uk
Cranfield University
, Cranfield MK43 0AL, United Kingdom
Search for other works by this author on:
Andrew Mosedale
Fluid Mechanics & Computational Science Group, Aerospace Sciences Department, School of Engineering,
Cranfield University
, Cranfield MK43 0AL, United Kingdome-mail: a.d.mosedale@cranfield.ac.uk
Dimitris Drikakis
Fluid Mechanics & Computational Science Group, Aerospace Sciences Department, School of Engineering,
Cranfield University
, Cranfield MK43 0AL, United Kingdome-mail: d.drikakis@cranfield.ac.uk
J. Fluids Eng. Dec 2007, 129(12): 1497-1503 (7 pages)
Published Online: July 27, 2007
Article history
Received:
February 15, 2007
Revised:
July 27, 2007
Citation
Mosedale, A., and Drikakis, D. (July 27, 2007). "Assessment of Very High Order of Accuracy in Implicit LES models." ASME. J. Fluids Eng. December 2007; 129(12): 1497–1503. https://doi.org/10.1115/1.2801374
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