| Preface | 6 |
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| Contents | 8 |
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| Complex Effects in Large Eddy Simulations | 11 |
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| 1 Introduction | 11 |
| 2 Numerical Methods | 13 |
| 3 Wall Modeling | 13 |
| 4 Two-Phase Flows | 15 |
| 5 Integration | 17 |
| 6 Novel Applications of LES | 19 |
| 7 Conclusions | 21 |
| Acknowledgments | 23 |
| References | 23 |
| On the Relation between Subgrid-Scale Modeling and Numerical Discretization in Large- Eddy Simulation | 25 |
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| 1 Introduction | 25 |
| 2 The ALDM Approach | 28 |
| 3 Isotropic Turbulence | 30 |
| 4 Plane-Channel Flow with Periodic Constrictions | 32 |
| 5 Conclusions | 34 |
| Acknowledgments | 35 |
| References | 35 |
| Space-Time Error Representation and Estimation in Navier- Stokes Calculations | 38 |
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| 1 Introduction | 38 |
| 2 Error Estimation of Functionals | 42 |
| 3 Computable Error Estimates and Adaptivity | 46 |
| 4 Extension to the Time-Dependent Navier-Stokes Equations | 50 |
| 5 Concluding Remarks | 55 |
| References | 55 |
| Multiresolution Particle Methods | 58 |
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| 1 Introduction | 58 |
| 2 Approximations using Particles | 60 |
| 3 Solving Transport Problems with Particle Methods | 61 |
| 4 Adaptive Particle Methods | 63 |
| 5 Conclusions | 68 |
| References | 69 |
| LES Computation of Lagrangian Statistics in Homogeneous Stationary Turbulence | Application of Universalities under Scaling Symmetry at Sub- Grid Scales |
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| 1 Introduction | 71 |
| 2 Universalities of Fragmentation under the Scaling Symmetry and Turbulent Cascade with Intermittency | 73 |
| 3 Computational Model | 74 |
| 4 Numerical Results and Discussion | 76 |
| 5 Conclusions | 79 |
| References | 81 |
| Anisotropic Subgrid-Scale Modelling: Comparison of LES with High Resolution DNS and Statistical Theory for Rapidly Rotating Turbulence | 84 |
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| 1 Introduction | 84 |
| 2 Description of the Subgrid Scale Model | 85 |
| 3 Results | 87 |
| 4 Discussion and Perspectives | 92 |
| References | 95 |
| On the Investigation of a Dynamic Nonlinear Subgrid- Scale Model | 96 |
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| 1 Introduction | 96 |
| 2 Numerical Procedure | 97 |
| 3 Results | 99 |
| 4 Conclusion and Discussion | 104 |
| References | 104 |
| Three Problems in the Large Eddy Simulation of Complex Turbulent Flows | 105 |
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| 1 An Algorithm for Large Eddy Simulation of Compressible Turbulent Flows | 105 |
| 2 RDT Applied to the Near Wall Modeling Problem | 110 |
| 3 Passive Scalar Mixing | 116 |
| Acknowledgments | 120 |
| References | 120 |
| Filtering the Wall as a Solution to the Wall- Modeling Problem | 122 |
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| 1 Introduction | 122 |
| 2 Filtered Wall Formulation | 123 |
| 3 Optimal Large Eddy Simulation | 126 |
| 4 Filtered-Wall LES Results | 127 |
| 5 Discussion | 128 |
| Acknowledgments | 130 |
| References | 130 |
| ANear- Wall Eddy- Viscosity Formulation for LES | 132 |
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| 1 Introduction | 132 |
| 2 Near-Wall Treatment | 133 |
| 3 Numerical Results | 134 |
| 4 Application to Very High Reynolds Numbers | 141 |
| 5 Conclusions | 144 |
| References | 144 |
| Investigation of Multiscale Subgrid Models for LES of Instabilities and Turbulence in Wake Vortex Systems | 146 |
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| 1 Introduction | 146 |
| 2 Numerical Method | 147 |
| 3 Simulation Results | 152 |
| 4 Conclusions | 158 |
| Acknowledgments | 160 |
| References | 160 |
| Numerical Determination of the Scaling Exponent of the Modeled Subgrid Stresses for Eddy Viscosity Models | 165 |
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| 1 Introduction | 165 |
| 2 Numerical Technique and Configuration | 166 |
| 3 Evaluation of Modeling and Numerical Error | 168 |
| 4 Results | 169 |
| 5 Conclusions | 173 |
| References | 174 |
| A Posteriori Study on Modelling and Numerical Error in LES Applying the Smagorinsky Model | 177 |
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| 1 Introduction | 177 |
| 2 Applied Modelling and Grid-Independent LES | 178 |
| 3 Applied Numerical Methods and Grid Resolutions | 181 |
| 4 Effect of Varying Grid Resolution on Numerical and Modelling Error | 182 |
| 5 Effect of Varying Filter Width on Numerical and Modelling Error | 185 |
| 6 Conclusions | 190 |
| Acknowledgments | 193 |
| References | 193 |
| Passive Scalar and Dissipation Simulations with the Linear Eddy Model | 194 |
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| 1 Introduction | 194 |
| 2 Model Formulation | 195 |
| 3 Results and Discussion | 197 |
| 4 Conclusions | 204 |
| References | 204 |
| Lattice-Boltzmann LES of Vortex Shedding in the Wake of a Square Cylinder | 206 |
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| 1 Lattice-Boltzmann Method for Turbulent Flows | 206 |
| 2 Square Cylinder Test Case | 210 |
| 3 Square Cylinder Results | 211 |
| 4 Computational Assessment of the Open Boundary Conditions | 212 |
| 5 LBE-LES Stability | 217 |
| 6 Conclusions | 218 |
| References | 219 |
| LES on Cartesian Grids with Anisotropic Refinement | 221 |
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| 1 Introduction | 221 |
| 2 The Unstructured Solver: CDP | 223 |
| 3 Grid Generation and Smoothing | 225 |
| 4 Immersed Boundary Reconstruction | 228 |
| 5 Turbulent Channel Flow | 231 |
| 6 Sphere Calculations | 232 |
| 7 Conclusions | 233 |
| Acknowledgments | 234 |
| References | 234 |
| Towards Time-Stable and Accurate LES on Unstructured Grids | 236 |
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| 1 Introduction | 236 |
| 2 Consistency, Stability, | 236 |
| 237 | 236 |
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| 3 Unstructured Finite Volume Method | 241 |
| 4 Numerical Results | 244 |
| 5 Conclusions | 248 |
| References | 249 |
| A Low-Numerical Dissipation, Patch-Based Adaptive- Mesh- Refinement Method for Large- Eddy Simulation of Compressible Flows | 251 |
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| 1 Introduction | 251 |
| 2 Numerical Method | 252 |
| 3 Verification | 255 |
| 4 Comparison with Experiments | 257 |
| 5 Conclusions | 260 |
| Acknowledgments | 261 |
| References | 261 |
| Large-Eddy Simulation of Richtmyer-Meshkov Instability | 263 |
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| 1 Introduction | 2
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