Numerical Simulation of Incompressible Flows over two Dimensional Geometries by Means of Immersed Boundary Method

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Shahmardi, Armin | 2012

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 44491 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Hejranfar, Kazem
Abstract:
Two-dimensional incompressible flow analysis is one the most important applied issues in engineering and applied science field. Numerical solution of governing equations of flow requires exact computational grid generation.In complex geometries, generation of the grid which is coincident to the body is very difficult and time consuming. Immersed boundary method is an appropriate superseded method of body conformal grid generation in flow field numerical solution. In this method a grid which is not coincidentto bodyis generated and flow field properties are modified on points adjacent to the boundary of the object (Ghost Cell Method) to satisfy boundary conditions.
The purpose of this thesis is to investigate the incompressible flow on two dimensional sections of various geometries by means of Immersed Boundary Method (IBM). In this thesis, the fourth order compact method is used in order to discretize the governing equations. The artificial compressibility method is embedded in basic model to couple velocity domain with pressure in continuity equation
Keywords:
Artificial Compressibity Method ; Compact Finite Difference Method ; Ghost-Cell Method ; Immersed Boundary Method (IBM)

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