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Intro; Preface; Organization; Chairpersons; Contents; Contributors; Optimization of Design Parameters of CIP Spray Cleaning Nozzle Using Genetic Algorithm; 1 Introduction; 2 Simulation Model; 2.1 Nozzle Geometry; 2.2 Boundary Conditions; 3 Methodology; 3.1 Governing Equations; 3.2 Numerical Settings; 3.3 Objective Functions; 3.4 Optimization Methods; 3.5 Meta-models; 4 Results; 4.1 Optimization Results; 4.2 Neural Network Results; 5 Conclusion and Future Works; References; Multilevel Optimization of Fluid-Structure Interaction Based on Reduced Order Models; 1 Introduction and Outline
2 Notation and Spaces3 Problem Setting; 4 Discretization; 5 Model Order Reduction via POD; 6 Proper Orthogonal Decomposition for FSI; 6.1 Fluid: Velocity and Pressure; 6.2 Solid: Deformation; 6.3 Interface Variable; 6.4 Dimension of the POD Subspaces; 6.5 Reduced Problem; 7 Enrichment by Supremizers; 8 Multilevel Optimization; 9 Numerical Results; 9.1 Reduced Order Model; 9.2 Optimization; References; An Investigation of Airfoil Noise Prediction Using Hybrid LES/RANS Models; 1 Introduction; 2 Linearized Euler Equations for Aeroacoustic Simulation; 3 Hybrid LES/RANS Methods
3.1 Very Large Eddy Simulation3.2 Limited Numerical Scales; 4 Numerical Methods; 5 Results and Discussion; 6 Conclusion; References; A High-Order Local Discontinuous Galerkin Scheme for Viscoelastic Fluid Flow; 1 Introduction; 2 Governing Equations; 3 Discretization; 4 Numerical Results; 4.1 hk Convergence Study; 4.2 Confined Cylinder; 5 Concluding Remarks and Future Work; References; A Bramble-Pasciak Conjugate Gradient Method for Discrete Stokes Problems with Lognormal Random Viscosity; 1 Introduction; 2 Input Modeling; 3 Variational Formulation
4 Stochastic Galerkin Finite Element Discretization5 Preconditioning; 5.1 Finite Element Matrices; 5.2 Stochastic Galerkin Matrices; 6 Eigenvalue Analysis for the SGFE Matrices; 6.1 The Block Diagonal Preconditioned SGFE System; 6.2 The Block Triangular Preconditioned SGFE System; 7 Iterative Solvers; 8 Numerical Experiments; 9 Conclusion; References; Linear Solvers for the Finite Pointset Method; 1 Introduction; 2 Generalized Finite Difference Methods on Point Clouds; 2.1 Least Squares Methods; 3 The Finite Pointset Method (FPM); 3.1 Discretization of the Boundary
4 Properties of the Linear Systems Arising in GFDM4.1 Symmetry and M-Matrix Property; 4.2 Essentially Irreducible; 4.3 Sparsity; 4.4 Elimination of Boundary Conditions; 4.5 Eigenvalues; 5 A Geometric Multicloud Approach; 5.1 Coarsening Strategies Using Geometric Information; 5.2 Coarse Grid Operator; 5.3 Restriction; 5.4 Interpolation; 6 Results; 6.1 Refining the Point Cloud; 6.2 Comparing AMG to the Multicloud Approach; 6.3 Stretching the Domain; 7 Conclusions and Outlook; References; Additional Degrees of Parallelism Within the Adomian Decomposition Method; 1 Introduction; 1.1 Related Work
2 Notation and Spaces3 Problem Setting; 4 Discretization; 5 Model Order Reduction via POD; 6 Proper Orthogonal Decomposition for FSI; 6.1 Fluid: Velocity and Pressure; 6.2 Solid: Deformation; 6.3 Interface Variable; 6.4 Dimension of the POD Subspaces; 6.5 Reduced Problem; 7 Enrichment by Supremizers; 8 Multilevel Optimization; 9 Numerical Results; 9.1 Reduced Order Model; 9.2 Optimization; References; An Investigation of Airfoil Noise Prediction Using Hybrid LES/RANS Models; 1 Introduction; 2 Linearized Euler Equations for Aeroacoustic Simulation; 3 Hybrid LES/RANS Methods
3.1 Very Large Eddy Simulation3.2 Limited Numerical Scales; 4 Numerical Methods; 5 Results and Discussion; 6 Conclusion; References; A High-Order Local Discontinuous Galerkin Scheme for Viscoelastic Fluid Flow; 1 Introduction; 2 Governing Equations; 3 Discretization; 4 Numerical Results; 4.1 hk Convergence Study; 4.2 Confined Cylinder; 5 Concluding Remarks and Future Work; References; A Bramble-Pasciak Conjugate Gradient Method for Discrete Stokes Problems with Lognormal Random Viscosity; 1 Introduction; 2 Input Modeling; 3 Variational Formulation
4 Stochastic Galerkin Finite Element Discretization5 Preconditioning; 5.1 Finite Element Matrices; 5.2 Stochastic Galerkin Matrices; 6 Eigenvalue Analysis for the SGFE Matrices; 6.1 The Block Diagonal Preconditioned SGFE System; 6.2 The Block Triangular Preconditioned SGFE System; 7 Iterative Solvers; 8 Numerical Experiments; 9 Conclusion; References; Linear Solvers for the Finite Pointset Method; 1 Introduction; 2 Generalized Finite Difference Methods on Point Clouds; 2.1 Least Squares Methods; 3 The Finite Pointset Method (FPM); 3.1 Discretization of the Boundary
4 Properties of the Linear Systems Arising in GFDM4.1 Symmetry and M-Matrix Property; 4.2 Essentially Irreducible; 4.3 Sparsity; 4.4 Elimination of Boundary Conditions; 4.5 Eigenvalues; 5 A Geometric Multicloud Approach; 5.1 Coarsening Strategies Using Geometric Information; 5.2 Coarse Grid Operator; 5.3 Restriction; 5.4 Interpolation; 6 Results; 6.1 Refining the Point Cloud; 6.2 Comparing AMG to the Multicloud Approach; 6.3 Stretching the Domain; 7 Conclusions and Outlook; References; Additional Degrees of Parallelism Within the Adomian Decomposition Method; 1 Introduction; 1.1 Related Work