Abstract
The implicit coupling method is applied to model the 0.8 m disk-band-gap parachute at Mach 2.0. The fluid and structure governing equations are solved by the Lower-Upper Symmetric Gauss-Seidel (LU-SGS) algorithm and Newmark scheme, respectively. By exchanging the numerical results of the coupling surface with Gauss-Seidel algorithm, high accuracy solutions at every physical time step are obtained. The numerical results of the canopy drag coefficient and projected area fit well with the wind tunnel test results. The simulation reproduces the shock oscillation and breathing phenomenon of the canopy that are usually observed in these systems at Mach 2.0. Furthermore, it is found that the unstable saddle point is the main reason for the shock oscillation of the canopy. And the unsynchronized phases of the canopy area and shock oscillation curves lead to the drag of the canopy oscillate in irregular state.
Funding statement: Funding of Jiangsu Innovation Program for Graduate Education, (Grant / Award Number: KYLX16_0402), the Fundamental Research Funds for the Central Universities and National Natural Science Foundation of China, (Grant / Award Number: ‘11272345’).
Acknowledgments
This work was co-supported by the National Natural Science Foundation of China (No. 11272345), Funding of Jiangsu Innovation Program for Graduate Education (KYLX16_0402) and the Fundamental Research Funds for the Central Universities. They are gratefully acknowledged by the author.
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Articles in the same Issue
- Frontmatter
- The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation
- Energy Stable Interior Penalty Discontinuous Galerkin Finite Element Method for Cahn–Hilliard Equation
- On the Mittag–Leffler Stability of Impulsive Fractional Solow-Type Models
- Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach
- Numerical Simulation of the Supersonic Disk-Gap-Band Parachute by Using Implicit Coupling Method
- Stochastic-Based RANS-LES Simulations of Swirling Turbulent Jet Flows
- Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
- Hermite Pseudospectral Method for the Time Fractional Diffusion Equation with Variable Coefficients
- Multiple-Wave Solutions to Generalized Bilinear Equations in Terms of Hyperbolic and Trigonometric Solutions
- Experimental and Simulation Analysis of the Successful Production of Heavy-Gauge Steel Plate by the Clad Rolling Process
- Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations
- A Note on Hidden Transient Chaos in the Lorenz System
- Finite Time Blow-up in a Delayed Diffusive Population Model with Competitive Interference
Articles in the same Issue
- Frontmatter
- The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation
- Energy Stable Interior Penalty Discontinuous Galerkin Finite Element Method for Cahn–Hilliard Equation
- On the Mittag–Leffler Stability of Impulsive Fractional Solow-Type Models
- Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach
- Numerical Simulation of the Supersonic Disk-Gap-Band Parachute by Using Implicit Coupling Method
- Stochastic-Based RANS-LES Simulations of Swirling Turbulent Jet Flows
- Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
- Hermite Pseudospectral Method for the Time Fractional Diffusion Equation with Variable Coefficients
- Multiple-Wave Solutions to Generalized Bilinear Equations in Terms of Hyperbolic and Trigonometric Solutions
- Experimental and Simulation Analysis of the Successful Production of Heavy-Gauge Steel Plate by the Clad Rolling Process
- Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations
- A Note on Hidden Transient Chaos in the Lorenz System
- Finite Time Blow-up in a Delayed Diffusive Population Model with Competitive Interference