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**Chapter 2 Introduction to CFD**

Introductory FLUENT Training Sharif University of Technology Lecturer: Ehsan Saadati

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What is CFD? Computational fluid dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically the set of governing mathematical equations Conservation of mass Conservation of momentum Conservation of energy Conservation of species Effects of body forces Etc. The results of CFD analyses are relevant in: Conceptual studies of new designs Detailed product development Troubleshooting Redesign CFD analysis complements testing and experimentation by reducing total effort and cost required for experimentation and data acquisition.

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How Does CFD Work? ANSYS CFD solvers are based on the finite volume method Domain is discretized into a finite set of control volumes General conservation (transport) equations for mass, momentum, energy, species, etc. are solved on this set of control volumes Partial differential equations are discretized into a system of algebraic equations All algebraic equations are then solved numerically to render the solution field Control Volume* Fluid region of pipe flow is discretized into a finite set of control volumes. Unsteady Convection Diffusion Generation Equation Variable Continuity 1 X momentum u Y momentum v Z momentum w Energy h This background page is to introduce the concept of FVM to the user. We will assume that the majority of users will be relatively new to CFD. This page allows us to introduce the concept of spatial discretization and equation discretization which leads into the next slide that summarizes the steps involved in cfd analysis- meshing and solving. * FLUENT control volumes are cell-centered (i.e. they correspond directly with the mesh) while CFX control volumes are node-centered

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**Problem Identification**

CFD Modeling Overview Problem Identification Define your modeling goals Identify the domain you will model PreProcessing and Solver Execution Create a solid model to represent the domain Design and create the mesh (grid) Set up the physics (physical models, material properties, domain properties, boundary conditions, …) Define solver settings (numerical schemes, convergence controls, …) Compute and monitor the solution Post-Processing Examine the results. Consider revisions to the model. Problem Identification Define goals Identify domain Pre-Processing Geometry Mesh Physics Solver Settings Solve Compute solution Turbulence models: Spalart-Allmaras k-e, RNG k-e, Realizable k-e Non-equilibrium wall functions; compressibility and transpiration effects Two-layer/zonal models Low-Re models Suite of damping function models V2F model k-w (Wilcox, SST) – FLUENT 6 Reynolds Stress Model (RSM) – (LRR, SSG) Large Eddy Simulation (LES) Heat transfer Conduction, Convection, Radiation Multiphase and free surface models Discrete Phase, VOF, ASM; Eulerian (multifluid) models in FLUENT 6 Porous media and lumped parameter models Fan, heat exchangers, porous jump, porous media Multiple reference frames, sliding mesh and mixing plane model Inviscid, laminar or turbulent Update Model Post Processing Examine results

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**1. Define Your Modeling Goals**

Problem Identification Define goals Identify domain What results are you looking for (i.e. pressure drop, mass flow rate), and how will they be used? What are your modeling options? What physical models will need to be included in your analysis (i.e. turbulence, compressibility, radiation)? What simplifying assumptions do you have to make? What simplifying assumptions can you make (i.e. symmetry, periodicity)? Do you require a unique modeling capability? User-defined functions (written in C) in FLUENT or User FORTRAN functions in CFX What degree of accuracy is required? How quickly do you need the results? Is CFD an appropriate tool?

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**2. Identify the Domain You Will Model**

Problem Identification Define goals Identify domain How will you isolate a piece of the complete physical system? Where will the computational domain begin and end? Do you have boundary condition information at these boundaries? Can the boundary condition types accommodate that information? Can you extend the domain to a point where reasonable data exists? Can it be simplified or approximated as a 2D or axisymmetric problem? Domain of Interest as Part of a Larger System (not modeled) Domain of interest isolated and meshed for CFD simulation.

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**3. Create a Solid Model of the Domain**

Pre-Processing Geometry Mesh Physics Solver Settings How will you obtain a solid model of the fluid region? Make use of existing CAD models? Extract the fluid region from a solid part? Create from scratch? Can you simplify the geometry? Remove unnecessary features that would complicate meshing (fillets, bolts…)? Make use of symmetry or periodicity? Are both the solution and boundary conditions symmetric / periodic? Do you need to split the model so that boundary conditions or domains can be created? Solid model of a Headlight Assembly

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**4. Design and Create the Mesh**

A mesh divides a geometry into many elements. These are used by the CFD solver to construct control volumes Pre-Processing Geometry Meshing Physics Solver Settings What degree of mesh resolution is required in each region of the domain? The mesh must resolve geometric features of interest and capture gradients of concern, e.g. velocity, pressure, temperature gradients Can you predict regions of high gradients? Will you use adaption to add resolution? What type of mesh is most appropriate? How complex is the geometry? Can you use a quad/hex mesh or is a tri/tet or hybrid mesh suitable? Are non-conformal interfaces needed? Do you have sufficient computer resources? How many cells/nodes are required? How many physical models will be used? Triangle Quadrilateral Tetrahedron Hexahedron Pyramid Prism/Wedge

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**Tri/Tet vs. Quad/Hex Meshes**

For flow-aligned geometries, quad/hex meshes can provide higher-quality solutions with fewer cells/nodes than a comparable tri/tet mesh Quad/Hex meshes show reduced numerical diffusion when the mesh is aligned with the flow. It does require more effort to generate a quad/hex mesh Meshing tools designed for a specific application can streamline the process of creating a quad/hex mesh for some geometries.

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**Tri/Tet vs. Quad/Hex Meshes**

For complex geometries, quad/hex meshes show no numerical advantage, and you can save meshing effort by using a tri/tet mesh or hybrid mesh Quick to generate Flow is generally not aligned with the mesh Hybrid meshes typically combine tri/tet elements with other elements in selected regions For example, use wedge/ prism elements to resolve boundary layers. More efficient and accurate than tri/tet alone. Wedge (prism) mesh Tetrahedral mesh

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**Multizone (or Hybrid) Meshes**

Model courtesy of ROI Engineering A multizone or hybrid mesh uses different meshing methods in different regions. For example, Hex mesh for fan and heat sink Tet/prism mesh elsewhere Multizone meshes yield a good combination of accuracy, efficient calculation time and meshing effort. When the nodes do not match across the regions, a non-conformal interface can be used.

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Non-Conformal Meshes Non conformal meshes are useful for meshing complex geometries Mesh each part then join together Non conformal interfaces are also used in other situations Change in reference frames Moving mesh applications Non-conformal interface 3D Film Cooling Coolant is injected into a duct from a plenum. The plenum is meshed with tetrahedral cells while the duct is meshed with hexahedral cells Compressor and Scroll The compressor and scroll are joined through a non conformal interface. This serves to connect the hex and tet meshes and also allows a change in reference frame

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**Set Up the Physics and Solver Settings**

For a given problem, you will need to: Define material properties Fluid Solid Mixture Select appropriate physical models Turbulence, combustion, multiphase, etc. Prescribe operating conditions Prescribe boundary conditions at all boundary zones Provide initial values or a previous solution Set up solver controls Set up convergence monitors Pre-Processing Geometry Mesh Physics Solver Settings For complex problems solving a simplified or 2D problem will provide valuable experience with the models and solver settings for your problem in a short amount of time.

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Compute the Solution The discretized conservation equations are solved iteratively until convergence. Convergence is reached when: Changes in solution variables from one iteration to the next are negligible. Residuals provide a mechanism to help monitor this trend. Overall property conservation is achieved Imbalances measure global conservation Quantities of interest (e.g. drag, pressure drop) have reach steady values. Monitor points track quantities of interest. The accuracy of a converged solution is dependent upon: Appropriateness and accuracy of physical models. Mesh resolution and independence Numerical errors Solve Compute solution A converged and mesh-independent solution on a well-posed problem will provide useful engineering results!

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Examine the Results Post Processing Examine results Update Model Examine the results to review solution and extract useful data Visualization Tools can be used to answer such questions as: What is the overall flow pattern? Is there separation? Where do shocks, shear layers, etc. form? Are key flow features being resolved? Numerical Reporting Tools can be used to calculate quantitative results: Forces and Moments Average heat transfer coefficients Surface and Volume integrated quantities Flux Balances Examine results to ensure property conservation and correct physical behavior. High residuals may be caused by just a few poor quality cells.

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**Consider Revisions to the Model**

Post Processing Examine results Update Model Are the physical models appropriate? Is the flow turbulent? Is the flow unsteady? Are there compressibility effects? Are there 3D effects? Are the boundary conditions correct? Is the computational domain large enough? Are boundary conditions appropriate? Are boundary values reasonable? Is the mesh adequate? Can the mesh be refined to improve results? Does the solution change significantly with a refined mesh, or is the solution mesh independent? Does the mesh resolution of the geometry need to be improved?

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**Models Available in FLUENT 12**

Fluid flow and heat transfer Momentum, continuity, energy equations Radiation Turbulence RANS-based models (Spalart-Allmaras, k–ε, k–ω, Reynolds stress) Large-eddy simulation (LES) and detached eddy simulation (DES) Species transport Volumetric reactions Arrhenius finite-rate chemistry Turbulent fast chemistry Eddy Dissipation, non-Premixed, premixed, partially premixed Turbulent finite-rate chemistry EDC, laminar flamelet, composition PDF transport Surface Reactions Pressure Contours in Near-Ground Flight This slide and the next introduce a summary of all models available in fluent. I don’t think it is necessary to give examples of each model in particular, but to generalize by stating that reacting flows and multiple phase flows can be studied. ‘Can fluent do this…?’ type questions should be deferred to 1) after lecture discussion, 2) tutorial, or 3) ask an expert. If we don’t take this approach, this lecture could go on for a very long time. Temperature Contours for Kiln Burner Retrofit

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**Models Available in FLUENT 12**

Multiphase flows Discrete Phase Model (DPM) Volume of Fluid (VOF) model for immiscible fluids Mixtures Eulerian-Eulerian and Eulerian-granular Liquid/Solid and cavitation phase change Moving and deforming mesh Moving zones Single and multiple reference frames (MRF) Mixing plane model Sliding mesh model Moving and deforming (dynamic) mesh (MDM) User-defined scalar transport equations Gas outlet Oil Three- Phase Inlet Water Contours of Oil Volume Fraction in a Three-Phase Separator Pressure Contours in a Squirrel Cage Blower (Courtesy Ford Motor Co.)

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**FLUENT CFD Workflow under Workbench 2**

Start ANSYS Workbench Drag the Fluid Flow (FLUENT) system from Analysis Systems group in the Toolbox onto preview drop target shown in the Project Schematic.

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Import the Geometry Right-click on Geometry cell A2 and select Import Geometry Import the geometry file (CAD model or DesignModeler .agdb file) You can also link the FLUENT simulation to an existing DesignModeler session.

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**Generate a Mesh Right-click on Mesh cell and select Edit.**

Meshing opens and loads geometry Select Mesh under Model in Outline Note that Preferences are automatically set for FLUENT, because Meshing was opened from a FLUENT system.

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**Define Boundary and Cell Zones**

Create boundary zones using Named selections. Select the surface which will represent the boundary you wish to set. Right-click the selection and select Create Named Selection. Name the selection and click OK. You will also need to define the regions of the flow containing fluid and solid (if any). Solids are required for conjugate heat transfer calculations only. More details will be presented later. velocity inlet

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**Set Up and Run FLUENT Edit the Setup cell to set up the model options**

Boundary conditions Solver settings Solution Post processing Once run, the solution can then be either post processed in FLUENT or data exported to CFD-Post for post processing Contour and vector plots Profile plots Calculation of forces and moments Animation of unsteady flow results

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**Demonstration of FLUENT Software**

Start FLUENT (assume the mesh has already been generated). Set up a simple problem. Solve the flow field. Postprocess the results. Online help and documentation is available on each panel by pressing the help button Requires that you have the documentation installed and properly connected to your web browser. The demo should include a very quick gambit session. This session will involve the import of a database file, the setting of boundary zone names, and the export of a mesh. We do not want to give the trainees enough knowledge at this point on how to generate geometry or mesh. The purpose of this step is to provide a connection between the names of the boundaries assigned in gambit to the names of the boundaries in fluent. Discuss items 2 and 3 on the previous slide when in gambit. Discuss items when in fluent. Assume the customers are relatively new to CFD- try not to refer to terminology that has not yet been introduced. Remember to: 1. Discuss layout of gui (working from left to right), 2. Show the grid early in the demo, 3. Scale grid, 4. Show boundary names, 5. Discuss default settings of models and properties, 6. Show several post-processing features. It is not necessary to point out all models or capabilities at this time. It will be brought up in later lectures.

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**Navigating the PC at Fluent**

Log in to your workstation Login name: fluent Password: fluent Directories Tutorial mesh/case/data files can be found in c:\Student Files\fluent\tut\ We recommend that you save your work into a central working folder: c:\users Working folder shown on the desktop is a shortcut to c:\users To start FLUENT and/or Workbench, use the desktop icons. Your support engineer will save your work at the end of the week. It is recommended that you restart FLUENT and/or Workbench for each tutorial to avoid mixing solver settings from different workshops.

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