The Mass-Damped Riemann Problem and the Aerodynamic Surface Force Calculation for an Accelerating Body

✍ Scribed by Zhiqiang Tan; Dennis Wilson; Philip L. Varghese

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 287 KB
• Volume: 131
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.5416

✦ Synopsis

the mass-damped Riemann problem in the lab coordinate system is shown in Fig. 1

. The standard Riemann problem

We consider an extension of the ordinary Riemann problem and present an efficient approximate solution that can be used to im-is a special case of the mass-damped problem and correprove the calculations of aerodynamic forces on an accelerating sponds to m ϭ 0. The x-t graph is shown in Fig. 2. In the body. The method is demonstrated with one-dimensional examples standard Riemann problem, * L ϶ * R , but u* L ϭ u* R ϵ u* where the Euler equations and the body motion are solved in the and p* L ϭ p* R . In the mass-damped Riemann problem, non-inertial co-ordinate frame fixed to the accelerating body. ᮊ 1997 * L ϶ * R , u* L ϭ u* R ϵ V, the piston velocity, and p* L ϶ p* R .