Abstract
Cartesian grids with local anisotropic adaptation are combined with an Immersed Boundary (IB) method and used to perform large eddy simulations. The approach used to generate Cartesian grids with desired normal and tangential resolution to three-dimensional surfaces is described. Anisotropic refinement result in a considerable reduction in grid size. An IB treatment based on solution reconstruction is proposed; it has the property of ensuring local mass conservation and its accuracy is investigated for laminar and turbulent flows in channel not aligned with the grid. Mesh modifications that improve the grid quality for LES are proposed. The resulting mesh then requires a fully unstructured discretization and a parallel polyhedral-based finite-volume solver is applied to perform simulations of the flow around several spheres.
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References
C.S. Peskin. Flow patterns around heart valves: a digital computer method for solving the equations of motion. Ph.D. thesis, Physiology, Albert Einstein College of Medicine. University Microfilms. 378:72–30. 1972.
R.P. Beyer and R.J. Leveque. Analysis of a one-dimensional model for the immersed boundary method. SIAM J. of Num. Anal. 29:332–364. 1992.
M.C. Lai and C.S. Peskin. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160:705–719. 2000.
G. Iaccarino and R. Verzicco. Immersed boundary technique for turbulent flow simulations. Appl. Mech. Rev. 56:331–347. 2003.
R. Mittal and G. Iaccarino. Immersed Boundary Method. Ann. Rev. Fluid Mech. 37:239–262. 2005.
M.J. Berger and M.J. Aftosmis. Aspects (and aspect ratios) of Cartesian mesh methods. Proc. 16th International Conf. on Num. Meth. in Fluid Dynamics. 1998.
R. Mittal, C. Bonilla, and H.S. Udaykumar. Cartesian grid methods for simulating flows with moving boundaries. in Computational Methods and Experimental Measurements-XI, Ed. Brebbia, Carlomagno & Anagnostopoulous. 2003.
G. Iaccarino, G. Kalitzin, P. Moin, and B. Khalighi. Local grid refinement for an immersed boundary RANS solver. AIAA Paper 2004–0586. 2004.
R. Verzicco, M. Fatica, G. Iaccarino, P. Moin, and B. Khalighi. Large eddy simulation of a road-vehicle with drag reduction devices. AIAA J. 40:2447–2455. 2001.
E. Balaras. Modeling Complex Boundaries using an external force field on fixed Cartesian Grids in large-eddy simulations. Comput. Fluids 33:375–404. 2004.
D. Zeeuw and K. Powell. An adaptively-refined Cartesian mesh solver for the Euler equations. AIAA Paper 1991–1542. 1991. LES on Cartesian Grids with Anisotropic Refinement 233
Z. Wu. Anisotropic Cartesian Grid Method for Viscous Flow Computation. in Computational Fluid Dynamics Review, Ed. M. Hafez, K. Oshima. 1998.
Z.J. Wang, R.F. Chen, N. Hariharan, A.J. Przekwas, and D. Grove. A 2n Tree Based Automated Viscous Cartesian Grid Methodology for Feature Capturing. AIAA Paper 1999–3300. 1999.
A.G. Kravchenko, P. Moin, and R. Moser. Zonal embedded Grids for Numerical Simulations of Wall-Bounded Turbulent Flows. J. Comp. Physics 127:412–423. 1996.
V. Seidl, S. Muzaferija, and M. Peric. Parallel Computation of Unsteady Separated Flows Using Unstructured, Locally Refined Grids. Notes on Numerical Fluid Mechanics. Ed. R. Friedrich and P. Bontoux.64:37–50, 1998.
K. Mahesh, G. Constantinescu, and P. Moin. A Numerical Method for Large-Eddy Simulation in Complex Geometries. J. Comp. Physics 197:215–240. 2004.
F. Ham and G. Iaccarino. Energy Conservation in Colocated Discretization Schemes on Unstructured Meshes. Annual Research Briefs, Center for Turbulence Research 3–14. 2004.
J. Kim, D. Kim, and H. Choi. An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys. 171:132–150. 2001.
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Iaccarino, G., Ham, F. (2007). LES on Cartesian Grids with Anisotropic Refinement. 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_16
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DOI: https://doi.org/10.1007/978-3-540-34234-2_16
Publisher Name: Springer, Berlin, Heidelberg
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