Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes
Abstract
:1. Introduction
1.1. Literature Review
1.1.1. Spatial Discretization
1.1.2. Temporal Discretization
1.1.3. Convergence towards Steady States
1.2. Present Contributions
2. Methodology
2.1. Governing Equations
2.2. Grid Generation
2.3. Numerical Methods
2.3.1. Viscous Flux Discretization
2.3.2. Inviscid Flux Discretization
Conservative Schemes
Flux Function Splitting
WENO Schemes
Extension to a System of Equations
2.3.3. Temporal Integration
3. Results
3.1. Compression Ramp
3.2. Blunt Wedge
3.3. Quarter Cylinder
4. Conclusions
Funding
Acknowledgments
Conflicts of Interest
Appendix A. Wall Properties
Appendix A.1. Compression Ramp
Appendix A.2. Blunt Body
Appendix A.3. Cylinder
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Assis, J.C.; Santos, R.D.; Schuabb, M.S.; Falcão, C.E.G.; Freitas, R.B.; Alves, L.S.d.B. Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes. Fluids 2024, 9, 133. https://doi.org/10.3390/fluids9060133
Assis JC, Santos RD, Schuabb MS, Falcão CEG, Freitas RB, Alves LSdB. Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes. Fluids. 2024; 9(6):133. https://doi.org/10.3390/fluids9060133
Chicago/Turabian StyleAssis, Juan C., Ricardo D. Santos, Mateus S. Schuabb, Carlos E. G. Falcão, Rômulo B. Freitas, and Leonardo S. de B. Alves. 2024. "Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes" Fluids 9, no. 6: 133. https://doi.org/10.3390/fluids9060133