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Computational Fluid Dynamic

ME4235
3 hours English

Computational Fluid Dynamic

Computational Fluid Dynamic 01 15
1 Fundamentals of CFD (2 Weeks) / Overview of CFD: Applications in engineering and science. / Governing equations of fluid mechanics: Continuity, momentum (Navier-Stokes), and energy equations. / Classification of partial differential equations (PDEs): Hyperbolic, parabolic, and elliptic. / Introduction to discretization: Overview of finite difference, finite volume, and finite element methods
2 Finite Difference Method (2 Weeks) / Fundamental principles of finite difference methods (FDM). / Discretization of PDEs: Central, forward, and backward difference approximations. / Application of FDM to simple fluid flow problems. / Stability analysis: Courant-Friedrichs-Lewy (CFL) condition. / Advantages, limitations, and common use cases of FDM
3 Finite Volume Method (2 Weeks) / Fundamental principles of finite volume methods (FVM). / Control volume formulation and integral approach. / Discretization of governing equations using FVM. / Conservation laws and flux evaluations. / Applications of FVM: Heat transfer and flow in complex geometries
4 Finite Element Method (2 Weeks) / Fundamental principles of finite element methods (FEM). / Weak formulation and Galerkin approach. / Shape functions and element types. / Application of FEM to fluid flow and heat transfer problems. / Comparison with FDM and FVM: Strengths and weaknesses of FEM
5 Grid Generation and Quality Metrics (2 Weeks) / Structured vs. unstructured grids: Differences and applications. / Grid generation techniques for FDM, FVM, and FEM. / Mesh quality metrics: Orthogonality, skewness, and aspect ratio. / Adaptive meshing and grid independence studies
6 Turbulence Modeling and Advanced Topics (2 Weeks) / Fundamentals of turbulence and its impact on CFD. / Turbulence modeling techniques: / Reynolds-Averaged Navier-Stokes (RANS). / Large Eddy Simulation (LES). / Direct Numerical Simulation (DNS). / Multiphysics problems: Conjugate heat transfer and fluid-structure interaction
7 Hands-On CFD Simulations (2 Weeks) / Pre-processing: Problem setup, geometry creation, and mesh generation. / Solver settings: Time step control, convergence criteria, and model selection. / Post-processing: Visualization and interpretation of flow and heat transfer results. / Case studies: / Internal flows: Pipe flow and heat exchanger analysis. / External flows: Aerodynamics of airfoils and bluff bodies. / Multiphysics problems: Conjugate heat transfer analysis
8 Validation and Verification (1 Week) / Validation of CFD results against analytical and experimental data. / Verification of numerical models: Mesh independence and error analysis. / Best practices for documenting and interpreting results
1.1 Mapped to: K1

Derive and analyze governing equations for fluid flow and heat transfer.

Teaching Strategy Lectures, problem-solving sessions.
Assessment Methods Quizzes, midterm exam, homework.
1.2 Mapped to: K1

Apply numerical methods such as finite difference, finite volume, and finite element techniques to solve fluid dynamics problems.

Teaching Strategy Case studies, software demonstrations.
Assessment Methods Final exam, lab reports.
2.1 Mapped to: S2

Validate and verify computational results using analytical and experimental data.

Teaching Strategy Comparative analysis exercises, group discussions.
Assessment Methods Lab reports, final exam.
2.1 Mapped to: S3

Use advanced CFD software for simulation, analysis, and optimization of fluid systems.

Teaching Strategy Software-based practical sessions, real-world projects.
Assessment Methods Lab reports, final project.
3.1 Mapped to: V2

Collaborate effectively as a member or leader in teams to complete CFD projects and simulations.

Teaching Strategy Team-based projects, collaborative problem-solving tasks.
Assessment Methods Group project evaluation, teamwork assessment.