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Krupp, Verena: Efficient coupling of fluid and acoustic interaction on massively parallel systems. 2021
Inhalt
Title Page
Danksagung
Zusammenfassung
Abstract
Contents
Nomenclature
Introduction
State of the art
Aim of this work
Outline
Governing equations and their discretization
Governing equations of fluid dynamics
Navier-Stokes equations
Euler equations
Linearized Euler equations
Numerical discretization
Discretization in space: Discontinuous Galerkin
Discretization in time: Runge-Kutta
Partitioned coupling
Coupling tasks
Steering of individual solvers
Communication of coupling data
Data mapping in time
Data mapping in space
Static load balancing
Load balancing between subdomains
Load balancing within a subdomain
Discontinuous Galerkin in the context of coupling
Coupling points
Data mapping via polynomial evaluation
Fluid dynamics in the context of coupling
Numerical framework
Simulation framework APES
High-order Discontinuous Galerkin solver Ateles
Load balancing in Ateles
Multi-solver approach: preCICE
Overview
Steering of individual solvers
Communication of coupling data
Data mapping in time
Data mapping in space: (Interpolation) methods
Projection-based mapping
Radial Basis Function interpolation
Comparison of the interpolation methods
Performance
Integrated approach: APESmate
Overview
Steering of individual solvers
Communication of coupling data
Data mapping in time
Data mapping in space
Performance
Initialization of coupling
Coupling results
Gaussian distribution in pressure
2-field coupling of same equations
2-field coupling of different equations
3-field coupling of different equations
3D subsonic free-stream jet
Investigation of numerical setup
Testcase Setup
Numerical resolution A: Monolithic-like setup
Investigations of load balancing
Load balancing with APESmate
Single-stage vs. multi-stage time integration
Load balancing with preCICE
Comparison of APESmate and preCICE
Scalability of setup A with APESmate
Numerical resolution B: Tailored setup
Scalability of setup B with APESmate
Load Balancing of setup B with APESmate
Investigation of imperfect choice of coupling interfaces
Investigation of time-consistent coupling
Summary and outlook
Summary
Outlook
Partitioned coupling
Integrated approach: APESmate
Multi-solver approach: preCICE
Optimization of polynomial evaluation in Ateles
Performance of the initialization phase of APESmate using MPI_ALLTOALL
Figures for investigation of the Gaussian distribution in pressure
Iterative use of SPartA
Bibliography
List of Figures
List of Tables