A full-field simulation methodology for sonic boom modeling on adaptive Cartesian cut-cell meshes

This paper develops a full-field direct numerical simulation methodology of sonic boom in a stratified atmosphere. The entire flow field, ranging from the near field around a supersonic body to the far field extending to the ground, is modeled by the three-dimensional Euler equations with a gravitat...

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Bibliographic Details
Published in:Journal of computational physics Vol. 408; p. 109271
Main Authors: Yamashita, Rei, Wutschitz, Lukas, Nikiforakis, Nikolaos
Format: Journal Article
Language:English
Published: Cambridge Elsevier Inc 01.05.2020
Elsevier Science Ltd
Subjects:
Adaptive mesh refinement
Atmospheric models
Cartesian coordinates
Computational physics
Computer simulation
Cut cell
Direct numerical simulation
Drop tests
Euler-Lagrange equation
Exact solutions
Far fields
Finite element method
Finite volume method
Flight tests
Full-field simulation
Grid refinement (mathematics)
Impact tests
Japanese space program
Oblique shock waves
Segmentation
Shock wave propagation
Simulation
Sonic boom
Sonic booms
Stratified atmosphere
Structural hierarchy
Structured grids (mathematics)
Three dimensional analysis
Three dimensional models
Waveforms
Well-balanced finite volume method
Full-field simulation
Stratified atmosphere
Adaptive mesh refinement
Sonic boom
Cut cell
Well-balanced finite volume method
ISSN:0021-9991, 1090-2716
Online Access:Get full text
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Summary:This paper develops a full-field direct numerical simulation methodology of sonic boom in a stratified atmosphere. The entire flow field, ranging from the near field around a supersonic body to the far field extending to the ground, is modeled by the three-dimensional Euler equations with a gravitational source term. Thus far, it has been solved using a structured grid, and an application of previous simulation to complex geometries has been limited. In this study, we realize a full-field simulation by employing the following four numerical approaches: (i) a hierarchical structured adaptive mesh refinement (AMR) method, (ii) a Cartesian cut cell method, (iii) a well-balanced finite volume method, and (iv) a segmentation method of the computational domain. A new well-balanced, MUSCL-Hancock scheme applied over Cartesian AMR and cut cell grids for a stratified atmosphere is formulated. The computational results of an oblique shock wave in a stratified atmosphere agree well with the exact solution. A full-field simulation successfully reproduces the Drop test for Simplified Evaluation of Non-symmetrically Distributed sonic boom (D-SEND) #1, conducted by the Japan Aerospace Exploration Agency (JAXA). The results of this simulation are in good agreement with those of the previous computational study, the waveform parameter method, and flight test measurements. The grid convergence study shows that the mesh size is fine enough to assess pressure signatures over the entire flow field. These results demonstrate that a full-field simulation with AMR and cut cell grids is a powerful tool for extensively analyzing three-dimensional shock wave propagation in a stratified atmosphere. •A full-field simulation methodology for sonic boom modeling is developed.•Adaptive mesh refinement and cut cell grids are used over a stratified atmosphere.•A well-balanced MUSCL-Hancock scheme in a stratified atmosphere is formulated.•Full-field simulation successfully reproduces the flight test for sonic boom.•Simulation results agree with results of a waveform parameter method and flight test.
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ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2020.109271