Choi Computational Fluid Dynamics 2008

1. Auflage 2009
ISBN: 978-3-642-01273-0
Verlag: Springer
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 822 Seiten

We are delighted to present this book which contains the Proceedings of the Fifth International Conference on Computational Fluid Dynamics (ICCFD5), held in Seoul, Korea from July 7 through 11, 2008. The ICCFD series has established itself as the leading international conference series for scientists, mathematicians, and engineers specialized in the computation of fluid flow. In ICCFD5, 5 Invited Lectures and 3 Keynote Lectures were delivered by renowned researchers in the areas of innovative modeling of flow physics, innovative algorithm development for flow simulation, optimization and control, and advanced multidisciplinary - plications. There were a total of 198 contributed abstracts submitted from 25 countries. The executive committee consisting of C. H. Bruneau (France), J. J. Chattot (USA), D. Kwak (USA), N. Satofuka (Japan), and myself, was responsible for selection of papers. Each of the members had a separate subcommittee to carry out the evaluation. As a result of this careful peer review process, 138 papers were accepted for oral presentation and 28 for poster presentation. Among them, 5 (3 oral and 2 poster presentation) papers were withdrawn and 10 (4 oral and 6 poster presentation) papers were not presented. The conference was attended by 201 delegates from 23 countries. The technical aspects of the conference were highly beneficial and informative, while the non-technical aspects were fully enjoyable and memorable. In this book, 3 invited lectures and 1 keynote lecture appear first. Then 99 c- tributed papers are grouped under 21 subject titles which are in alphabetical order.

Autoren/Hrsg.

Choi, Haecheon

Inhaltsverzeichnis

1;Preface;5
2;Contents;6
3;Part 1 Plenary Lectures;19
3.1;Lattice Boltzmann Methods for Viscous Fluid Flows and Two-Phase Fluid Flows;20
3.1.1;Introduction;20
3.1.2;Lattice Boltzmann Method;21
3.1.2.1;Lattice Gas Model and Evolution Equation;21
3.1.2.2;Lattice Boltzmann Method for Temperature Field;22
3.1.2.3;Boundary Condition;23
3.1.2.4;Governing Equations for Macroscopic Variables;23
3.1.2.5;Numerical Examples;24
3.1.3;Lattice Boltzmann Method for Two-Phase Fluids;25
3.1.3.1;Formulation;25
3.1.3.2;Algorithm of Computation;28
3.1.3.3;Governing Equations for Macroscopic Variables;28
3.1.3.4;Numerical Examples;29
3.1.4;Concluding Remarks;31
3.1.5;References;33
3.2;Coping with Uncertainty in Turbulent Flow Simulations;35
3.2.1;Introduction;35
3.2.2;Inertial Range Consistent Subgrid/Turbulence Models;36
3.2.3;The Concept of Robust Modelling;38
3.2.4;Copping with Uncertainties: Response Surface;40
3.2.5;Concluding Remarks;44
3.2.6;References;45
3.3;Adaptive Finite Element Discretization of Flow Problems for Goal-Oriented Model Reduction;47
3.3.1;Introduction;47
3.3.2;Goal-Oriented Adaptivity: Concept and Examples;48
3.3.2.1;Example 1. Drag Computation in 2-d Viscous Flow;48
3.3.2.2;Example 2. Drag Computation in 3-d Viscous Flow ([BR06]);50
3.3.2.3;Example 3. Inviscid 2-d Euler Equations ([Har02]);51
3.3.2.4;Example 4. A 2-d Heat-Driven Cavity Benchmark ([BR00]);52
3.3.3;The Theoretical Framework;53
3.3.3.1;Application in Flow Simulation;54
3.3.3.2;Practical Aspects;55
3.3.4;Applications;56
3.3.4.1;Drag Minimization by Boundary Control ([Bec01]);56
3.3.4.2;Fluid-Structure Interaction ([DR06]), [Dun07], [BDR08]);57
3.3.5;Summary and Outlook;59
3.3.6;References;60
4;Part 2 Keynote Lectures;62
4.1;Progress in Computational Magneto-Fluid-Dynamics for Flow Control;63
4.1.1;Introduction;63
4.1.2;Governing Equations;65
4.1.3;Model of Weakly Ionized Gas;66
4.1.4;Solving Scheme;67
4.1.5;Results of Numerical Simulation;69
4.1.6;Summary;73
4.1.7;References;73
5;Part 3 Aeroacoustics 1;75
5.1;Computation of Noise Radiated from a Turbulent Flow over a Cavity with Discontinuous Galerkin Method;76
5.1.1;Introduction;76
5.1.2;Numerical Formulations;77
5.1.3;Results and Discussions;78
5.1.4;Conclusions;80
5.1.5;References;81
5.2;Far–Field Noise Minimization Using an Adjoint Approach;82
5.2.1;Introduction;82
5.2.2;Noise Prediction Validation;82
5.2.3;Results;83
5.2.4;Conclusions;88
5.2.5;References;88
5.3;Stabilized High-Order Discontinuous Galerkin Methods for Aeroacoustic Investigations;89
5.3.1;Introduction;89
5.3.2;Stabilization;89
5.3.3;Stabilized Extrapolation Boundary Conditions;91
5.3.4;Numerical Tests;92
5.3.4.1;Flow Around a Cylinder at Re=100;92
5.3.4.2;Tone Hole Investigations;93
5.3.5;Conclusion;94
5.3.6;References;94
6;Part 4 Aeroacoustics 2;95
6.1;Direct Simulation for Acoustic Near Fields Using the Compressible Navier-Stokes Equation;96
6.1.1;Introduction;96
6.1.1.1;Prediction of Acoustic Resonance Phenomena;96
6.1.1.2;”The Theory of The Fluteh by M.S.Howe;97
6.1.1.3;Computational Problems for the Compressible Navier Stokes equation(C.N.S.E);97
6.1.1.4;Numerical Method;97
6.1.1.5;Transition to Turbulence;98
6.1.2;Bench Mark Computation;98
6.1.2.1;Bench Mark 1 :Edge-Tone;98
6.1.2.2;Bench Mark 2 :Recorder;99
6.1.3;Conclusion;101
6.1.4;References;101
6.2;Aeroacoustic Simulation in Automobile Muffler by Using the Exact Compressible Navier-Stokes Equation;103
6.2.1;Introduction;103
6.2.2;Objectives;104
6.2.3;Governing Equations;104
6.2.4;Numerical Method;104
6.2.5;Bench Mark Computation;105
6.2.5.1;Bench Mark 1: One Point Oscillator on a Cavity;105
6.2.5.2;Bench Mark 2: Flow Noise by Two Jets in a Round Chamber;106
6.2.6;Simulation of Automobile Muffler Model;106
6.2.6.1;Case1: Artificial(forcing) Oscillation at the Inlet;106
6.2.6.2;Case2: No Artificial Oscillation at the Inlet;107
6.2.7;Conclusion;108
6.2.8;References;108
7;Part 5 Aeroacoustics/Elasticity;109
7.1;Towards Understanding the Physics of Supersonic Jet Screech;110
7.1.1;Numerical Evidence;111
7.1.2;Theoretical Evidence;114
7.1.3;Experimental Evidence;115
7.1.4;Conclusion;115
7.1.5;References;115
7.2;Calculation of Wing Flutter Using Euler Equations with Approximate Boundary Conditions;116
7.2.1;Introduction;116
7.2.2;Numerical Methods;117
7.2.2.1;Governing Equations;117
7.2.2.2;Approximate Boundary Conditions;117
7.2.2.3;Structural Equation of Motion;118
7.2.3;Results and Discussion;118
7.2.3.1;ONERA M6Wing;118
7.2.3.2;LANN Wing;118
7.2.3.3;AGARD 445.6Wing;120
7.2.4;Conclusion;120
7.2.5;References;121
7.3;Direct Computation of Infrasound Propagation in Inhomogeneous Atmosphere Using a Low-Dispersion and Low-Dissipation Algorithm;122
7.3.1;Introduction;122
7.3.2;Case of the $Misty Picture$ experiment;123
7.3.2.1;Atmosphere Model;123
7.3.2.2;Governing Equations and Numerical Algorithm;124
7.3.3;Modelling of Atmospheric Sound Absorption in Time-Dependent Simulations;126
7.3.4;Concluding Remarks;126
7.3.5;References;127
8;Part 6 Algorithm 1;128
8.1;Symmetry Preserving Discretization of the Compressible Euler Equations;129
8.1.1;Introduction;129
8.1.2;Euler Equations;131
8.1.3;Discrete Invariant Method;132
8.1.4;Numerical Results;133
8.1.5;Conclusion;134
8.1.6;References;134
8.2;A Numerical Diffusion Flux Based on the Diffusive Riemannproblem;135
8.2.1;Introduction;135
8.2.2;The Generalized Diffusive Riemannproblem;136
8.2.3;The Use in High Order DG and FV schemes;138
8.2.4;Example: Compressible Navier-Stokes Equations;139
8.2.5;References;140
9;Part 7 Algorithm 2;141
9.1;Enhancement of the Computational Efficiency of UFP via a MWM;142
9.1.1;Introduction;142
9.1.2;Implementation of the Modified Wavelet Method;143
9.1.3;Numerical Test and Discussion;144
9.1.4;Conclusion;147
9.1.5;References;147
9.2;A High-Order Accurate Implicit Operator Scheme for Solving Steady Incompressible Viscous Flows Using Artificial Compressibility Method;148
9.2.1;References;152
9.3;Development of a Coupled and Unified Solution Method for Fluid-Structure Interactions;153
9.3.1;Introduction;153
9.3.2;Technical Approach;153
9.3.3;Results;156
9.3.4;References;158
10;Part 8 Algorithm 3;159
10.1;Development of AUSM-Type Solver for Analysis of Ideal Magnetohydrodynamic Flows;160
10.1.1;Introduction;160
10.1.2;Governing Equations;162
10.1.2.1;Ideal MHD Equations;162
10.1.2.2;Modifying the Ideal MHD Equations (Cleaning Divergence Errors);162
10.1.3;Numerical Method;163
10.1.3.1;AUSMPW+/M-AUSMPW+ Scheme of Ideal MHD Equations;163
10.1.3.2;A High Order Interpolation Scheme: OMLP;164
10.1.4;Numerical Results;164
10.1.4.1;Brio and Wu’s Shock Tube Test;164
10.1.4.2;2-D Cloud and Shock Interactions;166
10.1.5;Conclusions;170
10.1.6;References;171
10.2;An Implicit Parallel Fully Compressible Roe Based Solver for Subsonic and Supersonic Reacting Flows;172
10.2.1;Introduction;172
10.2.2;Theoretical Formulation and Numerical Treatment;172
10.2.2.1;Governing Equations;172
10.2.2.2;Numerical Modeling;173
10.2.2.3;Turbulence Modeling;173
10.2.2.4;Combustion Modeling;173
10.2.3;Coupling the EDM Model with the SA Model;173
10.2.4;Test Cases;175
10.2.4.1;Moreau’s Combustor;175
10.2.4.2;Kent’s and Bilger’s Combustor;175
10.2.4.3;Supersonic Flow over a Flat Plate with Injection Slot;175
10.2.5;Conclusion;176
10.2.6;References;177
11;Part 9 Bio-fluid Mechanics 1;178
11.1;Rheology of Blood Flow in a Branched Arterial System with Three-Dimension Model;179
11.1.1;Introduction;179
11.1.2;Materials and Methods;180
11.1.2.1;Power Law for Non-Newtonian Viscosity;180
11.1.2.2;Carreau Model;180
11.1.2.3;Casson Model;180
11.1.2.4;T-Junction Model;181
11.1.3;Results and Discussions;181
11.1.4;Conclusion;183
11.1.5;References;183
11.2;The Effect of Curvature and Torsion on Steady Flow in a Loosely Coiled Pipe;185
11.2.1;Introduction;185
11.2.2;Numerical Models and Methodology;186
11.2.3;Results;186
11.2.4;Conclusions;189
11.2.5;References;190
12;Part 10 Bio-fluid Mechanics 2;191
12.1;Analysis of the Unsteady Flow and Forces in an AAA Endovascular Stent;192
12.1.1;Introduction;192
12.1.2;Methods of Approach;193
12.1.3;Discussion;194
12.1.4;References;197
13;Part 11 Complex Flow 1;198
13.1;Computation of Low Reynolds Number Aerodynamic Characteristics of a Flapping Wing in Free Flight;199
13.1.1;Introduction;199
13.1.2;Computational Model;199
13.1.3;Results and Discussions;200
13.1.3.1;Effect of Outer Boundary Locations on Computed Aerodynamic Characteristics;200
13.1.4;Conclusion;204
13.1.5;References;204
13.2;Application of Window Embedment Grid Technique;205
13.2.1;Introduction;205
13.2.2;Introduction to Window Embedment Grid;206
13.2.3;Numerical Methods;207
13.2.3.1;Spatial Schemes;207
13.2.3.2;Turbulence Models;208
13.2.3.3;Time Advancing Schemes;208
13.2.4;Numerical Experiments;208
13.2.4.1;DLR-F4 Wing-Body Configuration;208
13.2.4.2;Application for Transporter Simulation;209
13.2.5;Conclusions;210
13.2.6;References;210
13.3;Improved Component Buildup Method for Fast Prediction of the Aerodynamic Performances of a Vertical Takeoff and Landing Micro Air Vehicle;211
13.3.1;Background;211
13.3.2;The Proposed Method;212
13.3.3;Validation;213
13.3.4;Conclusions;216
13.3.5;References;216
14;Part 12 Complex Flow 2;217
14.1;Numerical Investigation of the Tip Leakage Flow in a Multistage High Pressure Compressor;218
14.1.1;Introduction;218
14.1.2;Methodology;219
14.1.2.1;Compressor Test Case;219
14.1.2.2;Numerical Method;220
14.1.2.3;Numerical Model Validation and Results;223
14.1.3;Flow Analysis;224
14.1.3.1;Investigation of the Small Tip Clearance Case;224
14.1.3.2;Investigation of the Large Tip Clearance Case;227
14.1.4;Conclusion;228
14.1.5;References;229
15;Part 13 Complex Flows 3;231
15.1;Computational and Experimental Studies of Fluid Flow and Heat Transfer in a Calandria Based Reactor;232
15.1.1;Introduction;232
15.1.2;Calendria Model and Mesh Generation;233
15.1.3;Governing Equations and Boundary Condition;233
15.1.4;Results of Experimental and Computational Analysis;234
15.1.4.1;Computational Results;234
15.1.4.2;Experimental Results;236
15.1.5;Conclusions;237
15.1.6;References;237
16;Part 14 Complex Flows 4;238
16.1;Propulsion by an Oscillating Thin Airfoil at Low Reynolds Number;239
16.1.1;Introduction;239
16.1.2;Computational Method;240
16.1.3;TestCase;240
16.1.4;Heaving Motion;241
16.1.5;Pitching Motion;242
16.1.6;Summary and Further Research;244
16.1.7;References;244
16.2;Residual Currents around Plural Asymmetrical Structures in Oscillatory Flow Fields;245
16.2.1;Introduction;245
16.2.2;Computational Method;246
16.2.3;The Effects of the Asymmetrical Structures;246
16.2.4;The Effects of the Space between the Structures;248
16.2.5;Conclusions;250
16.2.6;References;250
17;Part 15 Compressible Flow 1;251
17.1;Stability of the MUSCL Method on General Unstructured Grids for Applications to Compressible Fluid Flow;252
17.1.1;Introduction;252
17.1.2;Slope Reconstruction on General Unstructured Meshes;253
17.1.3;Stability Analysis of the {\sc Muscl} Scheme;254
17.1.4;Numerical Computation of Spectra of Muscl Operators;255
17.1.5;Applications to Compressible Gas Dynamics;256
17.1.6;References;257
17.2;Time-Accurate Computational Analysis of the Flame Trench;258
17.2.1;Introduction;258
17.2.2;Computational Model;259
17.2.3;OVERFLOWSolver;260
17.2.4;Two-SRB Results;260
17.2.5;Single SRB Results;261
17.2.6;Summary;263
17.2.7;References;263
17.3;Very High Order Residual Distribution Schemes for Steady Flow Problems;265
17.3.1;Description of the Scheme;265
17.3.1.1;Numerical Approximation, Degrees of Freedom;266
17.3.1.2;Residual Computation and Distribution;266
17.3.2;Numerical Simulations for the Non Viscous Problem;267
17.3.3;Navier-Stokes Problems;268
17.3.4;Conclusion;270
17.3.5;References;270
18;Part 16 Compressible Flow 2;271
18.1;Shocks in Direct Numerical Simulation of the 3-D Spatially Developing Plane Mixing Layer;272
18.1.1;Introduction;272
18.1.2;Basic Equations, Initial Conditions and Numerical Methods;272
18.1.3;Computational Results;273
18.1.3.1;Visualization of Shocks;273
18.1.3.2;Categorization of Shocks;275
18.1.4;Conclusion;277
18.1.5;References;277
18.2;Calculation of Aerodynamic Performance of Propellers at Low Reynolds Number Based on Reynolds-Averaged Navier-Stokes Equations Simulation;278
18.2.1;Introduction;278
18.2.2;Governing Equations;278
18.2.3;Numerical Method;279
18.2.4;Grid System and Boundary Conditions;280
18.2.5;Numerical Results and Analysis;281
18.2.6;Concluding Remarks;283
18.2.7;References;283
18.3;Mathematical Modeling of Supersonic Turbulent Flows in a Channel of Variable Cross-Section with Mass Supply;284
18.3.1;Introduction;284
18.3.2;Problem Statement and Flow Condition;284
18.3.3;Method of Computation;285
18.3.4;Test Computations;286
18.3.5;Numerical Results;287
18.3.6;Conclusions and Future Work;289
18.3.7;References;289
18.4;Efficient Numerical Simulation of Dense Gas Flows Past Airfoils and Wings;290
18.4.1;Introduction;290
18.4.2;Governing Equations and Thermodynamical Model;290
18.4.3;Space and Time Discretization;292
18.4.4;Numerical Results;293
18.4.5;References;295
18.5;A Dual-Time Implicit Upwind Scheme for Computing Three-Dimensional UnsteadyCompressible Flows Using Unstructured Moving Grids;296
18.5.1;Introduction;296
18.5.2;Mesh Movement Strategy;296
18.5.3;Solution Algorithm;297
18.5.4;Results and Discussion;299
18.5.5;References;301
19;Part 17 Error Estimation and Control;302
19.1;Problems Associated with Grid Convergence of Functionals;303
19.1.1;Introduction;303
19.1.2;Order-Of-Convergence of Functionals;306
19.1.3;The Problem with Quadrature;306
19.1.4;How to Eliminate the Quadrature Error;306
19.1.5;Higher-Order Algorithmic Error Model;307
19.1.6;Conclusions and Recommendations;308
19.1.7;References;308
19.2;Accuracy Analysis Based on a Posteriori Error Estimates of SemiGLS Stabilization of FEM for Solving Navier-Stokes Equations;309
19.2.1;Introduction;309
19.2.2;Mixed FEM Formulation;309
19.2.3;SemiGLS Stabilized Formulation;310
19.2.4;A Posteriori Error Estimates;310
19.2.5;Numerical Results and Accuracy Analysis;311
19.2.5.1;Steady Flow in Lid Driven Cavity;311
19.2.5.2;Steady Flow in Channel with Sudden Extension of Diameter;312
19.2.6;Conclusion;313
19.2.7;References;314
19.3;Residual Adaptive Computations of Complex Turbulent Flows;315
19.3.1;Introduction;315
19.3.2;Residual Error Estimation;316
19.3.3;Adaptation Algorithm;316
19.3.4;Grid and Solution Methodology;317
19.3.5;Numerical Simulations;318
19.3.6;Conclusion;320
19.3.7;References;320
20;Part 18 Flow Control/Instability;321
20.1;Active Control of Transitional Channel Flows with Pulsed and Synthetic Jets Using Vortex Methods;322
20.1.1;Context and Aim of the Study;322
20.1.2;Numerical Scheme;323
20.1.3;Control Strategies;323
20.1.4;Numerical Results;324
20.1.4.1;First Control Type;324
20.1.4.2;Second ontrol ype;326
20.1.5;Conclusion;327
20.1.6;References;327
20.2;Numerical Analysis of Control Problems for Stationary Models of Hydrodynamics and Heat Transfer;328
20.2.1;Statement of the Direct Boundary Problem;328
20.2.2;Control Problems;330
20.2.3;Numerical Analysis;331
20.2.4;References;333
20.3;Frictional and Radiation Dampings on Shear Instability;334
20.3.1;Introduction;334
20.3.2;Formulation;335
20.3.3;Stability;337
20.3.4;Conclusion;339
20.3.5;References;339
20.4;FSI Analysis of HAR Wing at Low Speed Flight Condition;340
20.4.1;Introduction;340
20.4.2;VMT Method;341
20.4.3;Transfer of Structure’s Displacement;342
20.4.4;Fluid-Structure Interaction Analysis;342
20.4.5;Wing Model;342
20.4.6;Results;343
20.4.6.1;Static Deflection under Gravity Loading;343
20.4.6.2;Static Aeroelastic Deflections of the Wing;343
20.4.7;References;345
21;Part 19 Flow in Porous Media;346
21.1;3-D Numerical Simulation of Main Sieve Diaphragm with Three Types Passageway Design in a Gas Mask Canister;347
21.1.1;Introduction;347
21.1.2;Problem;349
21.1.2.1;Governing Equations;349
21.1.2.2;Boundary Conditions and Numerical Method;349
21.1.2.3;Grid Configuration;350
21.1.3;Result and Discussion;350
21.1.4;Conclusion;352
21.1.5;References;352
21.2;Pore Scale Simulation of Combustion in Porous Media;354
21.2.1;Introduction;354
21.2.1.1;Test Case;355
21.2.2;Dump Combustor;358
21.2.3;Anderson’s Burner (Hydrogen/Air Combustor);361
21.2.4;Summary;364
21.2.5;References;365
21.3;Combined Finite Element - Particles Discretisation for Simulation of Transport-Dispersion in Porous Media;366
21.3.1;Introduction;366
21.3.2;Finite Element Flow Computation;367
21.3.3;The Streamlines Method;367
21.3.4;Dispersion;369
21.3.5;References;371
22;Part 20 Flow with Non-flat Wall;372
22.1;A Numerical-Asymptotic Method for Computation of Infinite Number of Eddies of Viscous Flows in Domains with Corners;373
22.1.1;Introduction;373
22.1.2;Computational Method;374
22.1.3;Lid-Driven Cavity Problem;375
22.1.4;Conclusion;378
22.1.5;References;378
23;Part 21 Higher-Order Method 1;379
23.1;Implicit High-Order Compact Differencing Methods: Study of Convergence and Stability;380
23.1.1;Introduction;380
23.1.2;Formulation;381
23.1.3;References;385
23.2;A NLFD-Spectral Difference Scheme for Unsteady Flows;386
23.2.1;Introduction;386
23.2.2;Scheme Formulation;386
23.2.3;Numerical Results;388
23.2.3.1;Vortex Advection;388
23.2.3.2;Steady Subsonic Airfoil;389
23.2.3.3;Pitching Subsonic Airfoil;389
23.2.4;Conclusion;391
23.2.5;References;391
24;Part 22 Higher-Order Method 2;392
24.1;High-Order-Accurate Fluctuation Splitting Schemes for Unsteady Hyperbolic Problems Using Lagrangian Elements;393
24.1.1;Introduction;393
24.1.2;Analysis;394
24.1.2.1;Mass Lumping and Explicit Schemes;396
24.1.3;Results;397
24.1.4;References;398
24.2;Assessment of High-Order Algorithms for Aeroacoustic Computation of Shock-Containing Flows;399
24.2.1;Introduction;399
24.2.2;Shock-Capturing Algorithms;400
24.2.3;Test Cases;401
24.2.3.1;Shock Wave Interacting with a Density Disturbance (1D);401
24.2.3.2;Transonic Airfoil (2D);401
24.2.4;Conclusion;403
24.2.5;References;404
24.3;A Dynamic Spatial Filtering Procedure for Shock Capturing in High-Order Computations;405
24.3.1;Introduction;405
24.3.2;Shock-Capturing Methodology;406
24.3.3;Application to a Shock-Propagation Problem;408
24.3.4;Concluding Remarks;409
24.3.5;References;410
24.4;A Discontinuous Galerkin Method Based on a Gas Kinetic Scheme for the Navier-Stokes Equations on Arbitrary Grids;411
24.4.1;Introduction;411
24.4.2;Numerical Method;412
24.4.3;Numerical Examples;413
24.4.4;Conclusions;415
24.4.5;References;416
24.5;Recovery Discontinuous Galerkin Jacobian-Free Newton-Krylov Method for All-Speed Flows;417
24.5.1;Introduction;417
24.5.2;Jacobian-Free Newton-Krylov Framework;417
24.5.3;Recovery Discontinuous Galerkin Method;418
24.5.4;Numerical Examples;420
24.5.5;Conclusion;422
24.5.6;References;422
25;Part 23 Higher-Order Method 3;423
25.1;A Characteristic-Wise Hybrid Compact-WENO Scheme for Solving the Navier-Stokes Equations on Curvilinear Coordinates;424
25.1.1;Introduction;424
25.1.2;Numerical Method;425
25.1.3;Numerical Tests;427
25.1.4;Conclusions;429
25.1.5;References;429
25.2;High-Order Central ENO Finite-Volume Scheme with Adaptive Mesh Refinement for the Advection-Diffusion Equation;430
25.2.1;Scope;430
25.2.2;High-Order CENO Scheme;430
25.2.3;Numerical Results;433
25.2.4;Concluding Remarks;436
25.2.5;References;436
26;Part 24 Hypersonic and Reacting Flows;437
26.1;Active Control of Hypersonic Shock Layer Instability: Direct Numerical Simulation and Experiments;438
26.1.1;Introduction;438
26.1.2;Methods of Investigation;439
26.1.3;Disturbances;439
26.1.3.1;Distributed Receptivity;439
26.1.3.2;Localized Receptivity;440
26.1.4;Active Control;441
26.1.5;References;443
27;Part 25 Immersed Boundary Method/Cartesian Grid Method 1;444
27.1;A Hierarchical Nested Grid Approach for Local Refinement Coupled with an Immersed Boundary Method;445
27.1.1;Introduction;445
27.1.2;Numerical Methodology;446
27.1.2.1;Underlying Numerical Scheme;446
27.1.2.2;Grid Refinement Strategy;447
27.1.3;Results and Discussion;448
27.1.4;Conclusions;450
27.1.5;References;450
27.2;A New Cartesian Grid Method with Adaptive Mesh Refinement for Degenerate Cut Cells on Moving Boundaries;451
27.2.1;Introduction;451
27.2.2;Numerical Methods;451
27.2.2.1;Representation and Tracking of an Irregular Moving Boundary;451
27.2.2.2;Discretization of the Governing Equation;452
27.2.3;Numerical Results;454
27.2.4;Conclusions;456
27.2.5;References;456
27.3;Building-Cube Method for Incompressible Flow Simulations of Complex Geometries;457
27.3.1;Introduction;457
27.3.2;Numerical Method;458
27.3.2.1;Mesh Generation;458
27.3.2.2;Solution Algorithm;458
27.3.3;Numerical Results;459
27.3.3.1;Flow Simulation Around Ahmed Body;459
27.3.3.2;Flow Simulation Around Formula-1 Model;460
27.3.4;Conclusions;461
27.3.5;References;462
28;Part 26 Immersed Boundary Method/Cartesian Grid Method 2;463
28.1;Assessment of Regularized Delta Functions and Feedback Forcing Schemes for an Immersed Boundary Method;464
28.1.1;Introduction;464
28.1.2;Numerical Approach;465
28.1.3;Stability Analysis;466
28.1.4;Results and Discussion;467
28.1.4.1;Stationary Cylinder in a Free-Stream at Re=100;467
28.1.4.2;Transverse Oscillation of a Circular Cylinder;468
28.1.5;Conclusions;469
28.1.6;References;469
28.2;Simulation of a Flow around a Car, Using Cartesian Coordinates;470
28.2.1;Introduction;470
28.2.2;Computational Method;471
28.2.3;Computational Results;474
28.2.4;Conclusion;475
28.2.5;References;475
28.3;Numerical Simulation of Parachute Inflation Process;476
28.3.1;Introduction;476
28.3.2;Numerical Method and Conditions;477
28.3.3;Results;478
28.3.4;Conclusions;481
28.3.5;References;481
28.4;A Finite-Volume Method for Convection Problems with Embedded Moving-Boundaries;482
28.4.1;Introduction;482
28.4.2;Model Equation;483
28.4.2.1;Standard FVM Results;483
28.4.3;Fluxes with Embedded Moving-Boundary Conditions;485
28.4.4;Temporal Discretization;486
28.4.4.1;Monotonicity and Limiters;486
28.4.4.2;Local Adaptivity in Time;487
28.4.5;Results and Conclusion;488
28.4.6;References;488
29;Part 27 Kinetic Approach;489
29.1;Computation of Shock Structure in Diatomic Gases Using the Generalized Boltzmann Equation;490
29.1.1;Introduction;490
29.1.2;Technical Approach;490
29.1.3;Two Level Kinetic Model for RT Relaxation in a Gas;492
29.1.4;Computation of Shock Structure;493
29.1.5;References;495
29.2;A High-Order Accurate Gas-Kinetic BGK Scheme;496
29.2.1;Introduction;496
29.2.2;A High-Order Accurate BGK Scheme;496
29.2.2.1;Fundamental of Gas-Kinetic BGK Scheme;496
29.2.2.2;Extension to High-Order Accuracy;498
29.2.3;Numerical Results;498
29.2.4;Conclusions;500
29.2.5;References;501
30;Part 28 Micro/Nano Fluid Mechanics 1;502
30.1;Numerical Simulations of Three Dimensional Micro Flows;503
30.1.1;Introduction;503
30.1.2;Modeling;503
30.1.2.1;The Stokes Equations for Diphasic Flows in Microfluidic;503
30.1.2.2;The Level Set Method: Parametrization of the Interface;504
30.1.3;The Numerical Method;505
30.1.3.1;The Advection Equation;505
30.1.3.2;The Hydrodynamic Part;505
30.1.4;The Rayleigh-Plateau Instability;505
30.1.4.1;Experimental Considerations;505
30.1.4.2;Jets, Droplets and Plugs;506
30.1.4.3;Discussions;507
30.1.5;The Particular Case of a T-Junction;507
30.1.6;Conclusion;508
30.1.7;References;508
30.2;Optimization of Ribbed Microchannel Heat Sink Using Surrogate Analysis;509
30.2.1;Introduction;509
30.2.2;Problem Description and Numerical Analysis;510
30.2.3;Optimization Procedure;511
30.2.4;Results and Discussion;511
30.2.5;Conclusion;513
30.2.6;References;514
31;Part 29 Micro/Nano Fluid Mechanics 2;515
31.1;Conformations of PMMA Thin Films on an Au (111) Substrate: Chain-Length and Tacticity Effects;516
31.1.1;Introduction;516
31.1.2;Simulation Model;516
31.1.3;Results and Discussion;517
31.1.4;Conclusions;520
31.1.5;References;521
32;Part 30 Multiphase Flow 1;522
32.1;Numerical Method for Flows of Arbitrary Substance in Arbitrary Conditions;523
32.1.1;Introduction;523
32.1.2;Numerical Methods;524
32.1.3;Numerical Examples;525
32.1.4;Conclusion;528
32.1.5;References;528
32.2;Fully-Implicit Interface Tracking for All-Speed Multifluid Flows;529
32.2.1;Introduction;529
32.2.2;Numerical Method (Summary);530
32.2.3;One-Dimensional Tests;531
32.2.4;2D Interface Kinematics by MRD/LS;533
32.2.5;Conclusion;534
32.2.6;References;534
32.3;Development of Surface-Volume Tracking Method Based on MARS;536
32.3.1;Introduction;536
32.3.2;Numerical Method;536
32.3.3;Validation of the Algorithm with Dam Breaking Problem;537
32.3.4;Results and Discussion;539
32.3.5;Conclusion;541
32.3.6;References;541
33;Part 31 Multiphase Flow 2;542
33.1;Adaptive Moment-of-Fluid Method for Multi-Material Flow;543
33.1.1;Backgrounds;543
33.1.2;AMR-MOF;544
33.1.3;Static Interface Reconstruction;545
33.1.4;Dynamic Interface Reconstruction;545
33.1.5;Conclusion;548
33.1.6;References;548
33.2;Numerical Simulation of Underfill Flow in Flip-Chip Packaging;549
33.2.1;Introduction;549
33.2.2;Numerical Simulation of Capillary Flow Undefill;551
33.2.3;Numerical Results;552
33.2.4;Conclusions;554
33.2.5;References;554
33.3;Simulation of Water Advancing over Dry Bed Using Lagrangian Blocks on Eulerian Mesh;555
33.3.1;Introduction;555
33.3.2;LBEM Formulation;557
33.3.3;Friction Effect on Dam-Break Wave;558
33.3.4;Summary of Results Based on $q_{max}$;559
33.3.5;Conclusion;560
33.3.6;References;560
33.4;Time-Derivative Preconditioning for Single and Multicomponent Flows;561
33.4.1;Introduction;561
33.4.2;Governing Equations;562
33.4.3;Numerical Method;562
33.4.3.1;Conservative Formulation;563
33.4.3.2;Nonconservative Formulation;563
33.4.3.3;Hybrid Formulation;563
33.4.4;Results;564
33.4.4.1;Riemann Problems;564
33.4.4.2;NACA0012 Airfoil;565
33.4.4.3;NACA0015 Hydrofoil;566
33.4.5;Summary;566
33.4.6;References;567
34;Part 32 Multiphase Flow 3;568
34.1;High-Speed Jet Formation after Solid Object Impact;569
34.1.1;Introduction;569
34.1.2;Methods;569
34.1.3;Results;570
34.1.4;Conclusions;572
34.1.5;References;572
34.2;Numerical Study on Population Balance Approaches in Modeling of Isothermal Vertical Bubbly Flows;573
34.2.1;Introduction;573
34.2.2;Mathematical Models;574
34.2.2.1;Population Balance Approaches;575
34.2.3;Numerical Details;575
34.2.4;Results and Discussions;576
34.2.5;Conclusions;578
34.2.6;References;578
34.3;Direct Numerical Simulation of Cavitation Noise for a 3D Circular Cylinder Cross-Flow;579
34.3.1;Introduction;579
34.3.2;Computational Methods ;580
34.3.2.1;Density-Based Homogeneous Equilibrium Model;580
34.3.2.2;Selective Spatial Filtering;581
34.3.3;Results and Discussion;582
34.3.4;Summary and Conclusions;584
34.3.5;References;584
34.4;Numerical Method for Shock-Cavitation Bubble Interaction Problems;585
34.4.1;Introduction;585
34.4.2;Homogeneous Cavitation Model;586
34.4.3;Numerical Method;586
34.4.4;Numerical Results;588
34.4.5;Conclusions;590
34.4.6;References;590
35;Part 33 Optimization 1;591
35.1;A Low Dissipative Discrete Adjoint m-KFVS Method;592
35.1.1;Introduction;592
35.1.2;m-KFVS Method;593
35.1.3;Optimal Control of Numerical Dissipation;594
35.1.4;References;597
35.2;Second Order Sensitivities for Shape Optimization in the Presence of Shocks;598
35.2.1;Introduction;598
35.2.2;Problem Definition;599
35.2.3;Direct and Adjoint Based Methods for Hessian Computation;600
35.2.4;Numerical Test Demonstrating the Impact of the Hessian on Convergence of Transonic Optimal Design;601
35.2.5;References;604
35.3;Strategies for Robust Convergence Characteristics of Discrete Adjoint Method;605
35.3.1;Introduction;605
35.3.2;Sensitivity Analysis via Volume Integrated Functions;605
35.3.3;Enhancement of Diagonal Dominance of Adjoint Matrix;607
35.3.4;Conclusion;611
35.3.5;References;611
35.4;On the Reliability of the Aerodynamic Analysis Using a Moment Method;612
35.4.1;Introduction;612
35.4.2;Reliability Analysis;613
35.4.2.1;Monte Carlo Simulation;613
35.4.2.2;First Order Reliability Method;613
35.4.2.3;Moment Method;614
35.4.3;Flow Analysis;614
35.4.4;Reliability of Flow Analysis;615
35.4.4.1;2D Airfoil;615
35.4.4.2;3D Wing;615
35.4.5;Conclusion;616
35.4.6;References;616
36;Part 34 Optimization 2;618
36.1;Uncertainty Based MDO of UAS Using HAPMOEA;619
36.1.1;Introduction;619
36.1.2;Methodology;620
36.1.3;Real World Design Problem;620
36.1.4;Conclusions;624
36.1.5;References;624
36.2;The Optimum Design of a Propeller Energy-Saving Device by Computational Fluid Dynamics;625
36.2.1;Introduction;625
36.2.2;Geometric Parameters;625
36.2.3;Parametric Analysis;626
36.2.4;Computational Results;627
36.2.5;Conclusions;629
36.2.6;References;630
37;Part 35 Rotor Aerodynamics;631
37.1;An Analysis on the Helicopter Rotor Aerodynamics in Hover and Forward Flight Using CFD/Time-Marching-Free-Wake Coupling Method;632
37.1.1;Introduction;632
37.1.2;Methodology;633
37.1.2.1;Numerical Method;633
37.1.3;Numerical Results;635
37.1.4;Conclusion;637
37.1.5;References;637
38;Part 36 Turbulence Modeling and Simulation 1;638
38.1;Stochastic-Determinism Approach for Simulating the Transition Points in Internal Flows with Various Inlet Disturbances;639
38.1.1;Introduction;639
38.1.2;Governing Equation and Numerical Method;639
38.1.3;Computational Results;641
38.1.4;Conclusion;644
38.1.5;References;644
38.2;Investigation of an Anisotropic NS-a Model for Wall-Bounded Flows;645
38.2.1;Introduction;645
38.2.2;Model Formulation;645
38.2.3;Description of the Test Cases;647
38.2.4;Results;648
38.2.5;References;650
38.3;Computing Turbulent Flows Using Meshless Solver LSFD-U;651
38.3.1;Introduction;651
38.3.2;LSFD-U;652
38.3.3;Point Generation;653
38.3.4;LSFD-U Flow Solver;653
38.3.5;Numerical Results;654
38.3.6;Conclusions;656
38.3.7;References;657
38.4;Parallel Adaptive Mesh Refinement Scheme for LES of Turbulent Premixed Flames;658
38.4.1;Introduction and Scope;658
38.4.2;LES Modelling;658
38.4.3;Thickened Flame Model;659
38.4.4;Flame Surface Density Model;660
38.4.5;Parallel Implicit AMR Finite-Volume Scheme;661
38.4.6;Numerical Results;662
38.4.7;Conclusions;664
38.4.8;References;664
39;Part 37 Turbulence Modeling and Simulation 2;665
39.1;The Characteristic Analysis of Fire-Driven Flow Simulation Code (FDS) for Railway Tunnel;666
39.1.1;Introduction;666
39.1.2;Flow Conditions and Numerical Method;667
39.1.2.1;Flow Conditions;667
39.1.2.2;Grid Generation;668
39.1.2.3;Governing Equation;668
39.1.2.4;Numerical Method;669
39.1.3;Results and Discussion;669
39.1.4;Conclusion;671
39.1.5;References;672
40;Part 38 Upwind Scheme 1;673
40.1;Discontinuous Fluctuation Distribution for Time-Dependent Problems;674
40.1.1;Introduction;674
40.1.2;Discontinuous Fluctuation Distribution;675
40.1.2.1;Time-Dependent Problems;676
40.1.2.2;One Space Dimension;677
40.1.3;Numerical Results;678
40.1.4;Summary;679
40.1.5;References;679
40.2;Weighted Compact Schemes for Shock / Boundary Layer Interaction;680
40.2.1;Introduction;680
40.2.2;Hybrid Weighted Compact-ENO Scheme;681
40.2.3;Weighted Compact – ENO for Incident Shock / Boundary Layer Interaction;682
40.2.3.1;Numerical Girds for the Main Flow Solver;682
40.2.3.2;Initial and Boundary Conditions for the Main Flow Solver;683
40.2.3.3;Preliminary Numerical Results (Scaled by a Factor of 3 in y-Direction);683
40.2.4;Concluding Remarks;685
40.2.5;References;685
40.3;The Riemann Problem for Reynolds-Stress-Transport in RANS and VLES;686
40.3.1;Introduction;686
40.3.2;Reynolds-Stress Transport;687
40.3.2.1;The Complete Set of Equations;687
40.3.2.2;Eigenvalues and Eigenvectors;688
40.3.2.3;Approximate Jump Relations;688
40.3.2.4;Approximate Jump Relations for $\lambda \neq \~{u}$;689
40.3.2.5;Approximate Jump Relations for $\lambda = \~{u}$;690
40.3.2.6;Closure Relations for the {\sc hllc–rsm} Flux;690
40.3.3;References;691
41;Part 39 Upwind Scheme 2;693
41.1;Improving Monotonicity of the 2nd Order Backward Difference Time Integration Scheme by Temporal Limiting;694
41.1.1;Blending Coeficient;695
41.1.2;Results;697
41.1.3;References;699
41.2;The Finite Volume Local Evolution Galerkin Method for Solving the Euler Equations;700
41.2.1;Introduction;700
41.2.2;Numerical Methods;701
41.2.2.1;A Comparison between the FVEG and FVLEG Methods;701
41.2.2.2;The Approximate Evolution Operators for the FVLEG Scheme;703
41.2.3;Numerical Results;705
41.2.4;Conclusions;706
41.2.5;References;706
41.3;Time-Implicit Approximation of the Multi-pressure Gas Dynamics Equations in Several Space Dimensions;707
41.3.1;Introduction;707
41.3.2;A Tractable Equivalent Reformulation;708
41.3.3;Numerical Approximation;710
41.3.4;Numerical Illustration;712
41.3.5;References;712
41.4;Smoothness Monitors for Compressible Flow Computation;713
41.4.1;Redundant Wavelets;713
41.4.2;Test Cases;716
41.4.3;References;719
42;Part 40 Wake Flow;720
42.1;Proper Orthogonal Decomposition of Unsteady Heat Transfer from Staggered Cylinders at Moderate Reynolds Numbers;721
42.1.1;Introduction;721
42.1.2;Computational Details;722
42.1.3;Results and Discussion;723
42.1.3.1;Flow and Heat Transfer Characteristics;723
42.1.3.2;Proper Orthogonal Decomposition;724
42.1.4;Summary;726
42.1.5;References;726
42.2;Effect of Rotation Rates and Gap Spacing on the Structure of Low Reynolds Number Flow over Two Rotating Circular Cylinders;728
42.2.1;Introduction;728
42.2.2;Governing Equations and Numerical Methods;728
42.2.3;Results;730
42.2.4;References;734
42.3;Improvement of Reduced Order Modeling Based on POD;735
42.3.1;Introduction;735
42.3.2;A Pressure Extended Reduced Order Model;736
42.3.3;Stabilization of Reduced Order Models;737
42.3.3.1;Residuals Based Stabilization Method: Model B$^{[N_{r};K]$;737
42.3.3.2;SUPG and VMS Methods: Models C$^{[N_{r}]$ and D$^{[N_{r}]}$;737
42.3.3.3;Results of Stabilization Methods;738
42.3.4;Improvement of the Functional Subspace;738
42.3.5;Conclusions;739
42.3.6;References;740
43;Part 41 Technical Notes;741
43.1;Poster Session - MP1;17
43.1.1;Modelling and Simulation of Droplet Distribution from Entrained Liquid Film in Gas-Liquid Systems;742
43.1.1.1;References;743
43.1.2;The Effect of the Number of Computational Grids on Calculation Results of Co-axial Jet Flows by Large Eddy Simulation Using Dynamic SGS Model;744
43.1.2.1;Introduction;744
43.1.2.2;Numerical Calculation;744
43.1.2.3;Results;745
43.1.2.4;References;745
43.1.3;Development and Application of the Collocations and Least Squares Method;746
43.1.4;Combined Experimental and Numerical Analysis of Incompressible Flow around an Airfoil;748
43.1.4.1;Introduction;748
43.1.4.2;Numerical Method;749
43.1.4.3;Experimental Apparatus;749
43.1.4.4;Results and Discussions;750
43.1.4.5;Conclusion;753
43.1.4.6;References;753
43.1.5;CFD Simulation of Gas-Water Two-Phase Flow in Turbocharger;754
43.1.6;Numerical Analysis of Optical Systems for Compressible Flow Visualization;756
43.1.6.1;Introduction;756
43.1.6.2;Optical Systems;757
43.1.6.3;Simulation Techniques;757
43.1.6.3.1;CFD;757
43.1.6.3.2;Ray-Tracing Method;758
43.1.6.3.3;Adaptive Ray-Tracing Method;759
43.1.6.4;Results;759
43.1.6.5;Conclusions;759
43.1.6.6;References;759
43.2;Poster Session - TuP1;18
43.2.1;Application of a DRP Upwinding Scheme in Immersed Boundary Method;760
43.2.1.1;Mimic Interpolation Immersed Boundary Method;760
43.2.1.2;Dispersion-Relation-Preserving Scheme;761
43.2.2;Convergence Acceleration Method for Linear Iterative Process;763
43.2.2.1;References;764
43.2.3;Heat Transfer Correlations and Pressure Drop for Cross-Cut Heat Sinks Using CFD: Technical Notes;765
43.2.3.1;Introduction;765
43.2.3.2;Numerical Results and Conclusions;765
43.2.3.3;References;766
43.2.4;CFD Study of Traveling Wave within a Piston-Less Striling Heat Engine;767
43.2.4.1;Introduction;767
43.2.4.2;Results and Discussions;768
43.2.4.3;References;768
43.2.5;Numerical Simulation of Acoustic Waves in Jet Flows;769
43.2.5.1;Introduction;769
43.2.5.2;Experimental Results;769
43.2.5.3;Numerical Results;769
43.2.5.4;References;770
43.2.6;Robust BEM Solver for Sound Scattering;771
43.2.6.1;References;772
44;Author Index;773