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A Lagrangian method for the treatment of freshly cleared cells in immersed boundary techniques
Authors:Xiaoqin Zhang  Pascal Theissen  Jörg U. Schlüter
Affiliation:1. School of Mechanical and Aerospace Engineering, Nanyang Technological University , 50 Nanyang Avenue, 639798, Singapore xqzhang@ntu.edu.sg;3. Institute of Aerodynamics, Technical University of Munich , Boltzmannstr. 15, D-85748 Garching, Germany;4. School of Mechanical and Aerospace Engineering, Nanyang Technological University , 50 Nanyang Avenue, 639798, Singapore
Abstract:The present study describes a novel approach treating freshly cleared cells when simulating incompressible flows using the immersed boundary method. The method calculates material derivative in Lagrangian coordinate system to approximate the solution at the freshly cleared cells. In this study, we use a simple test case to compare our proposed method with the commonly used one-dimensional interpolation method in the Eulerian coordinate system.
Keywords:Lagrangian method  immersed boundary method  freshly cleared cells  large eddy simulation
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