Summary
Least squares Kinetic Upwind method for Moving Nodes (LSKUMMN) is a kinetic theory based gridfree method capable of handling the unsteady flow past multiple moving boundaries. In the present work this capability of LSKUM-MN has been demonstrated by computing flow past multiple oscillating blades encountered in turbomachinary flows. Flutter prediction in such a flow scenario has also been carried out on standard cascade configurations and compared with available results. Energy method has been used to predict flutter. The method has been further applied to 2D store separation problem. We have considered the NACA0012 airfoil section for both wing and the store. Chimera cloud approach has been used to generate the point distribution around each airfoil. As the store moves dynamic blanking and de-blanking of points entering into and out of the solid bodies has been carried out in efficient way by using bounding boxes. Effect of relative time scales of flow and store movement have been studied as well.
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References
Ghosh, A. K., and Deshpande, S. M., Least squares kinetic upwind method for inviscid compressible flows, AIAA Paper 95-1735, 1995.
Ghosh, A. K., Robust least squares kinetic upwind method for inviscid compressible flows, Ph.D. Thesis, Indian Institute of Science, Bangalore, 1996.
Deshpande, S. M., Kinetic theory based new upwind methods for inviscid compressible flows, AIAA Paper 86-0275, 1986.
Mahendra, A.K., Application of least squares kinetic upwind method to strongly rotating viscous flows, MSc(Engg) thesis , Indian Institute of Science, Bangalore, 2003.
Ramesh, V., Least Squares Grid Free Kinetic Upwind Method, PhD thesis , Indian Institute of Science, Bangalore, July 2001.
Ramesh, V. and Deshpande, S.M., Least Squares Kinetic Upwind Method on moving grids for unsteady Euler computations, Computers and Fluids, Vol. 30/5, pp. 621-641, May 2001.
Ramesh, V. and Deshpande, S.M.,Unsteady flow computations for flow past multiple moving boundaries using LSKUM, Computers and Fluids, Vol. 36/10, pp. 1592-1608, Dec 2007.
Ramesh, V. and Deshpande, S. M.,Low dissipation grid free upwind kinetic scheme with modified CIR splitting , Fluid Mechanics Report 2004 FM 20, Centre of Excellence in Aerospace CFD, Dept. of Aero. Engg., Indian Institute of Science, Bangalore.
Ramesh,V. and Deshpande,S.M., Least squares kinetic upwind method with modified CIR splitting, proceedings of 7th Annual CFD symposium, August 11-12 2004, National Aerospace Laboratories, Bangalore, India.
Konark Arora, Weighted Least Squares Kinetic Upwind method using Eigenvector basis,PhD Thesis, Indian Institute of Science, Bangalore, 2006.
Hong Luo, Joseph D. Baum and Rainald Löhner, An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids, Computers & Fluids 30(2001) 137-159.
Bolcs, A., and Fransson, T.H., Aeroelasticity in Turbomachines, Comparison of Theoretical and Experimental Cascade Results, communication du Laboratoire de Thermique Appliquee et de Turbomachines, No. 13, EPFL, Lausanne, Switzerland.
Gruber, B., and Cartsens, V., Computation of unsteady transonic flow in harmonically oscillating turbine cascades taking into account viscous effects, ASME J. Turbomach., 120, pp. 104-120, 1998.
Ji, S., and Liu, F., Flutter Computation of Turbomachinery Cascades Using a Parallel Unsteady Navier-Stokes Code, AIAA J. 37(3), pp.320-327, 1999.
Mani Sadeghi, and Feng Liu, Computation of Mistuning Effects on Cascade Flutter, AIAA Journal, Vol. 39, No. 1, January 2001.
Carta,F.O., Coupled Blade-Disc-Shroud flutter Instabilities in Turbo-jet engine Rotors,- Journal of Engineering for Power, Vol. 89, No. 3, 1967, pp. 419-426.
Mandal, J.C. and Deshpande, S.M., Kinetic flux vector splitting for Euler equations, Computers and Fluids, Vol. 23, pp. 447-478, 1994.
Serge Piperno, Numerical methods used in Aeroelasticity simulations, Report No. 92-5, 1992, CERMICS, INRIA, France.
Batina JT, Unsteady airfoil solutions using unstructured dynamic meshes, AIAA Journal, Vol. 28, No. 8, pp 1381-1388, 1990.
Fransson, T.H., and Verdon, J.M., Updated report on standard configurations for unsteady flow through vibrating axial-flow turbomachine-cascades,http://www.egi.kth.se.
Erdos, J.I., and Alzner,E., Numerical solution of periodic transonic flow through a fan stage, AIAA J., 15, pp. 1559-1568, 1977.
Cinnella, P., De Palma, P., Pascazio, G., and Napolitano, M., A numerical method for turbomachinery aeroelaticity, Transactions of the ASME, Vol. 126, pp. 310-316, Arpil 2004.
Anandhanarayanan, Development and Applications of a Gridfree Kinetic Upwind Solver to Multibody Configurations, Ph.D Thesis, IISc, Bangalore, 2003.
Arif Masud et al, An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction, Computers and Fluids, Vol. 36/1, pp.77-91,Jan 2007
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Ramesh, V., Vivek, S., Deshpande, S.M. (2011). Kinetic meshless methods for unsteady moving boundaries. In: Griebel, M., Schweitzer, M. (eds) Meshfree Methods for Partial Differential Equations V. Lecture Notes in Computational Science and Engineering, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16229-9_12
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DOI: https://doi.org/10.1007/978-3-642-16229-9_12
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