Ebrahimi Pour, Neda: Efficient high-order simulation of aeroacoustics from rigid body motion on massively parallel systems. 2021
Inhalt
- Title Page
- Acknowledgement
- Abstract
- Zusammenfassung
- Contents
- Nomenclature
- Notation
- Introduction
- Fluid dynamic equations
- Compressible viscid Navier-Stokes equations
- Compressible inviscid Euler equations
- Linearized Euler equations
- Discretization in space and time
- Spatial discretization - Discontinuous Galerkin method
- Explicit time discretization - Runge-Kutta method
- Numerical oscillations - Gibbs oscillation
- Numerical Framework
- Embedded boundary method
- State of the art - Geometry representation
- Volume penalization method - Brinkman penalization
- Representation of the masking function in high-order Discontinuous Galerkin
- Evaluation of the masking function in the numerical scheme
- Over-integration - Cost estimation
- Specification of the masking function
- Implicit-mixed-explicit Runge-Kutta method
- Validation of the moving geometry
- Convergence study - Acoustic pulse
- Shock capturing - Shock-wall interaction
- Shock formation - Moving piston
- Curved boundary - Moving cylinder
- Sharp boundary - Supersonic moving wedge
- Reduced computation inside the geometry
- Scalability and computational cost of the embedded method
- Multi-scale problems - An efficient strategy
- Load balancing - Coupled multi-scale problems
- Intra-subdomain
- SPartA algorithm
- Inter-subdomain
- Optimization of the gradient computation
- Load balancing for a 3-field coupled simulation
- Application examples - Complex moving geometries
- Numerical results - Moving geometry
- Supersonic flow - Moving cylinder
- Rotating airfoil
- Collision of two moving spheres
- Collision of three moving Spheres
- Rotating fan
- Performance results - Moving geometry
- Numerical results - Coupled 3-field simulation
- Innermost subdomain: Compressible Navier-Stokes
- Innermost and middle subdomain: Compressible Navier-Stokes and Euler
- Innermost, middle and outermost subdomain: Navier-Stokes, Euler and Linearized Euler
- Coupling interfaces of the 3-field coupled simulation
- Performance
- Conclusion
- Appendix
- Multi-scale simulations - Partitioned coupling with preCICE
- Reduced computation inside the geometry - Code
- Sharp boundary - Supersonic moving wedge
- Sponge - Reduced boundary reflections
- Bibliography
- List of Figures
- List of Tables