Abstract
This paper presents a hybrid finite-difference method for the large-eddy simulation of compressible flows with low-numerical dissipation and structured adaptive mesh refinement (SAMR). A conservative flux-based approach is described. An explicit centered scheme is used in turbulent flow regions while a weighted essentially non-oscillatory (WENO) scheme is employed to capture shocks. Several two- and three-dimensional numerical experiments and validation calculations are presented including homogeneous shock-free turbulence, turbulent jets and the strongly shockdriven mixing of a Richtmyer-Meshkov instability.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M.J. Berger and J. Oliger. Adaptive mesh refinement for hyperbolic partial-Differential equations. J. Comp. Phys., 53(3):484–512, 1984.
M.J. Berger and P. Colella. Local adaptive mesh refinement for shock hydrodynamics. J. Comp. Phys., 82(1):64–84, 1989.
P. Lax and B. Wendroff. Systems of conservation laws. Comm. Pure and Appl. Math., 13(2):217–237, 1960.
T.A. Zang. On the rotation and skew-symmetric forms for incompressible flow simulation. Appl. Numer. Math., 7(1):27–40, 1991.
R. Deiterding. Parallel adaptive simulation of multi-dimensional detonation structures. PhD thesis, Brandenburgische Technische Universität Cottbus, 2003.
D.J. Hill and D.I. Pullin. Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks. J. Comp. Phys., 194(2):435–450, 2004.
A. Misra and D.I. Pullin. A vortex-based subgrid model for large-eddy simulation. Phys. Fluids, 9(8):2443–2454, 1997.
D.I. Pullin. Vortex-based model for subgrid flux of a passive scalar. Phys. Fluids, 12(9):2311–2319, 2000.
A.E. Honein and P. Moin. Higher entropy conservation and numerical stability of compressible turbulence simulations. J. Comp. Phys., 201(2):531–545, 2004.
Y. Morinishi, T.S. Lund, O.V. Vasilyev, and P. Moin. Fully conservative higher order finite difference schemes for incompressible flow. J. Comp. Phys., 143(1):90–124, 1998.
F. Ducros, F. Laporte, T. Souleres, V. Guinot, P. Moinat, and B. Caruelle. High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows. J. Comp. Phys., 161(1):114–139, 2000.
A. Benkenida, J. Bohbot, and J.C. Jouhaud. Patched grid and adaptive mesh refinement strategies for the calculation of the transport of vortices. Int. J. Numer. Meth. Fluids, 40:855–873, 2002.
G.-S. Jiang and C.-W. Shu. Effcient implementation of weighted ENO schemes. J. Comp. Phys., 126(1):202–228, 1996.
D.S. Balsara and C.W. Shu. Monotonicity preserving weighted essentially non-oscillatory schemes with increasing high order of accuracy. J. Comp. Phys., 160(2):405–452, 2000.
E. Gutmark and I. Wygnanski. The planar turbulent jet. J. Fluid Mech., 73(3):465–495, 1976.
M. Vetter and B. Sturtevant. Experiments on the Richtmyer-Meshkov instability on a air/SF6 interface. Shock Waves, 4(5):247–252, 1995.
J.E. Rehm and N.T. Clemens. The large-scale turbulent structure of nonpremixed planar jet flames. Combustion and Flame, 116(4):615–626, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this paper
Cite this paper
Pantano, C., Deiterding, R., Hill, D., Pullin, D. (2007). A Low-Numerical Dissipation, Patch-Based Adaptive-Mesh-Refinement Method for Large-Eddy Simulation of Compressible Flows. In: Kassinos, S.C., Langer, C.A., Iaccarino, G., Moin, P. (eds) Complex Effects in Large Eddy Simulations. Lecture Notes in Computational Science and Engineering, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34234-2_18
Download citation
DOI: https://doi.org/10.1007/978-3-540-34234-2_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34233-5
Online ISBN: 978-3-540-34234-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)