Modeling and Simulation of Supersonic Flow in 2D Nozzle Using MacCormack’s and Upwind Methods

Author:

Chegeni Mohsen1,Ehterami Marzieh1,Doolabi Mustafa Hadi1,Soltaninezhad Mohamad Saleh2

Affiliation:

1. Malek Ashtar University

2. Amirkabir University

Abstract

In this work, two-dimensional inviscid supersonic flow in nozzle has been investigated using CFD schemes and characteristics method. The employed scheme is MacCormack’s finite volume method. Our own code CHARMAC, was written using MATLAB environment. Standard boundary conditions and the grid parameters were considered to solve the problem. Before analyzing the flow by CFD method, we obtained the ideal nozzle geometry using the method of characteristics for a 2D divergent Nozzle. Using 2D nozzle flow relations, an optimal throat area is found. At the end we compare the results with the advection upstream splitting Method (Ausm) and Fluent.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference6 articles.

1. John. D. Anderson Jr., Computational Fluid Dynamics; the Basics with Applications, McGraw Hill Series in Mechanical Engineering.

2. MacCormack, R. W., A Numerical Method for Solving the Equations of Compressible Viscous Flows, AIAA Paper 81-110, (1981).

3. John C. Tennehill, Dale, A. Anderson, Richard H. Pletcher, Computational Fluid Mechanics & Heat Transfer, 2ndEdition, Series in Computational Physical Processes in Mechanics and Thermal Sciences, (1997).

4. John. D. Anderson Jr., Modern Compressible Flow; With Historical Perspective, 2nd Edition, McGraw Hill Series in Aeronautical and Aerospace Engineering.

5. Liou & Steffen, A new Flux Splitting Scheme, -journal of computational physics 107, 23-39. (1993).

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