Journal of Mechanical Science and Technology

, Volume 21, Issue 7, pp 1129–1138 | Cite as

On the near-field aerodynamics of a projectile launched from a ballistic range

  • Rajesh Gopalapillai
  • Heuy-Dong Kim
  • Toshiaki Setoguchi
  • Shigeru Matsuo


A computational fluid dynamics method has been applied to simulate the unsteady aerodynamics of the projectile launched from a ballistic range. A moving coordinate scheme for a multi-domain technique was employed to investigate the unsteady flow with moving boundary. The coordinate system fixed to each moving domain was applied to the multi-domains, and the effect of virtual mass was added in the governing equations for each domain. The unsteady, axisymmetric Euler equation systems were numerically solved using the third order Chakravarthy-Osher total variation diminishing scheme, with MUSCL approach. The projectile mass and configuration effects on the unsteady aerodynamics were investigated based on the computational results. The present computations were validated with results of some other CFD works available. The computed results reasonably capture the major flow features, such as shock waves, blast waves, shear layers, vertical flows, etc. which are generated in launching a projectile up to a supersonic speed. The present computational method properly predicts the velocity, acceleration and drag histories of the projectile.


Moving coordinate method Ballistic range Unsteady drag Shock wave Supersonic flow 



Area, m2


Drag force, N


Total energy, J


Convection flux tensor


Momentum, kg.m/s2


Mach number


Outer unit normal vector at the cell surface


Pressure N/m2


Conservative variable Vector


Source Vector


Temperature, K


Time, s


Velocity vector


Velocity in X-direction, m/s


Velocity in Y-direction, m/s

x, y, and z

coordinate axes

Greek letters


Ratio of specific heats


Density, kg/m3

ξ, η and ξ

Transformed coordinates


G, g


1, 2 and 3

Coordinate directions


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Copyright information

© The Korean Society of Mechanical Engineers (KSME) 2007

Authors and Affiliations

  • Rajesh Gopalapillai
    • 1
  • Heuy-Dong Kim
    • 1
  • Toshiaki Setoguchi
    • 2
  • Shigeru Matsuo
    • 2
  1. 1.School of Mechanical EngineeringAndong National UniversityAndongKorea
  2. 2.Department of Mechanical EngineeringSaga UniversitySagaJapan

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