Hypersonic Viscous Flow Computations Using Energy Relaxation Method

Patil, M. M.; Mandal, J.C.; Swaminathan, S.

doi:10.2514/6.2006-583

44th AIAA Aerospace Sciences Meeting and Exhibit 2006

DOI: 10.2514/6.2006-583

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Hypersonic Viscous Flow Computations Using Energy Relaxation Method

M. M. Patil¹,

J.C. Mandal²,

S. Swaminathan³

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Energy relaxation method for chemical non‐equilibrium flow computations

Patil

Mandal

Swaminathan

2007

Numerical Methods in Fluids

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SUMMARYIn this paper, an algorithm for chemical non-equilibrium hypersonic flow is developed based on the concept of energy relaxation method (ERM). The new system of equations obtained are studied using finite volume method with Harten-Lax-van Leer scheme for contact (HLLC). The original HLLC method is modified here to account for additional species and split energy equations. Higher order spatial accuracy is achieved using MUSCL reconstruction of the flow variables with van Albada limiter. The thermal equilibrium is considered for the analysis and the species data are generated using polynomial correlations. The single temperature model of Dunn and Kang is used for chemical relaxation. The computed results for a flow field over a hemispherical cylinder at Mach number of 16.34 obtained using the present solver are found to be promising and computationally (25%) more efficient. The present solver captures physically correct solution as the entropy conditions are satisfied automatically during the computations.

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Energy relaxation method for chemical non‐equilibrium flow computations

Patil

Mandal

Swaminathan

2007

Numerical Methods in Fluids

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show abstract

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Hypersonic Viscous Flow Computations Using Energy Relaxation Method

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Energy relaxation method for chemical non‐equilibrium flow computations

Energy relaxation method for chemical non‐equilibrium flow computations

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