Summary
The aerodynamic noise propagation from a rocket engine before lift-off has been simulated by solving the axisymmetric Euler equations with a high order difference method. The sound source at the launch table is modelled by a time harmonic velocity perturbation at the dominant frequencies of the Ariane V launch vehicle. Perturbations corresponding to 120 dB sound pressure level lead to a sound pressure level of 112 dB at the nose of the rocket.
The numerical method that has been used corresponds to the standard sixth order central difference operator in the interior of the computational domain. Near the boundaries the method is third order accurate and satisfies the Summation by Parts property. This guarantees strict stability for linear problems. The classical explicit fourth order Runge-Kutta method has been used for time integration.
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References
M.H. Carpenter, D. Gottlieb, S. Abarbanel: Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes. J. Comput. Physics, 111, 220–236 (1994)
J.C. Hardin, J.R. Ristorcelli, C.K.W. Tarn (Editors): ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA). NASA Conference Publication 3300 (1995)
B. Müller: High Order Difference Method for Low Mach Number Aeroacoustics. ECCOMAS Computational Fluid Dynamics Conference, Swansea, Wales, UK (2001)
B. Müller, H.C. Yee: High Order Numerical Simulation of Sound Generated by the Kirchhoff Vortex. Computing and Visualization in Science, 4, 197–204 (2002)
H.-O. Kreiss, G. Scherer: Finite Element and Finite Difference Methods for Hyperbolic Partial Differential Equations. Mathematical Aspects of Finite Elements in Partial Differential Equations, Academic Press, New York (1974)
J. Nordström, M.H. Carpenter: Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations. J. Comput. Physics, 148, 621–645 (1999)
J. Sesterhenn, B. Müller, H. Thomann: On the Cancellation Problem in Calculating Compressible Low Mach Number Flows. J. Comput. Physics, 151, 597–615 (1999).
B. Strand: Summation by Parts for Finite Difference Approximations for d/dx. J. Comput. Physics, 110, 47–67 (1994)
J. Westerlund: High Order Simulation of Rocket Launch Noise. Master’s Thesis, Uppsala University, Sweden (2002)
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Müller, B., Westerlund, J. (2003). High-Order Numerical Simulation of Rocket Launch Noise. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_15
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DOI: https://doi.org/10.1007/978-3-642-55856-6_15
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