Solution_of_2-D_Incompressible_Navier_Stokes_Equations_with_Artificial_Compressibility_Method_Using_

May 1st, 2015
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The paper deals with the 2-D lid-driven cavity flow governed by the non dimensional incompressible Navier-Stokes theorem in the rectangular domain. Specific boundary conditions for this case study have been defined and the flow characteristics pertaining to the scenario have been coded in MATLAB using artificial compressibility method and FTCS scheme. The results are compared successfully with an authentic research paper by Ghia, Ghia & Shin.

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Solution of 2-D Incompressible Navier Stokes Equations with Artificial Compressibility Method Using Ftcs SchemeSOLUTION OF 2-D INCOMPRESSIBLE NAVIER STOKES EQUATIONS WITH ARTIFICIAL COMRESSIBILITY METHOD USING FTCS SCHEMEIMRAN AZIZDepartment of Mechanical Engineering College of EMENational University of Science and TechnologyIslamabad, PakistanImran_9697@hotmail.comAbstract The paper deals with the 2-D lid-driven cavity flow governed by the non dimensional incompressible Navier-Stokes theorem in the rectangular domain. Specific boundary conditions for this case study have been defined and the flow characteristics pertaining to the scenario have been coded in MATLAB using artificial compressibility method and FTCS scheme. The results are compared successfully with an authentic research paper by Ghia, Ghia & Shin.Keywords: Navier stokes equations, Artificial Compressibility, FTCS scheme. IntroductionThe Navier-Stokes equations describe the motion of fluid substances and are used to solve wide range of problems in Fluid Dynamics. These equations include conservations of mass, momentum and energy. In this documentation we present the solution of 2-d navier stokes equations in a flow driven lid cavity used as a model for subsonic bombers weapons bay. The weapons bay is a compartment on fighter aircrafts to carry bombs [1].It is a highly critical area for any bomber design in the aeronautical industry. The design optimization of weapon bay involves various consid

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