Registry
Module Specifications
Archived Version 2023 - 2024
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Description The objectives of this module are to provide a thorough description of the mathematical methods and numerical techniques used in Computational Fluid Dynamics (CFD) and to provide a practical experience in the use of a state of the art commercial modelling software. The module covers incompressible laminar and turbulent flow with heat transfer and involves both theoretical exercises and practical computational modelling of fluid and heat transfer problems. | |||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. Interprete the theoretical foundations of core numerical methods and mathematical models found in Computational Fluid Dynamics 2. Select appropriate governing equation to model specific fluid or heat transfer problem and make appropriate simplification to allow discretisation and solution 3. Formulate and set-up CFD models for the solution of simple but realistic thermo-fluid problems 4. Appreciate the limitations and capabilities of the main models and solution methods available with state of the art CFD Softwares based on the Finite Volume Method 5. Quantify the order of accuracy of a CFD model based on the choice of discretisation scheme 6. Evaluate critically the quality of a mesh, model set-up and results 7. Propose improvements to existing model setup with a view to adressing specific issues including limited computational power or memory 8. Demonstrate the importance of careful validation by comparison with experimental and/or analytical solutions | |||||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and
Learning Activities Governing EquationsDerivation of the Navier-Stokes Equations from conservation laws and the Reynolds Transport Theorem to introduce the Finite Volume discretisation method from Integral equations.Numerical schemes and order of accuracy analysisThe main discretisation schemes used in CFD are described and their order of accuracy are demonstratedSolution of Linear Equation Systems and convergence issuesA broad range of diffusion and convection diffusion equations are discretised and iterative solution methods are descrtibed to highlight the importance of stability. Stability criteria a described and various schemes are tested for stabilityBoundary conditions and numerical implementationA range or physical boundary conditions are considered and suitable numerical implementations are demonstrated with practical examplesThe Segregated solver and associated solution methods for the incompressible Navier Stokes EquationsThe main solution methods for coupling of Navier Stokes equations are studied in detail and their relevance to CFD software studied.Method for modelling heat transfer with incompressible flowIssues related to the modelling of heat transfer problem are studiedTurbulence modellingPractical engineering solutions to turbulence modelling are described and the main models are derived. This includes the derivation of the RANS equations and a description of the mixing length, k-ε and k-ω modelsGuidelines for effective post-processingPractical guidelines on how to address issues of stability and accuracy are given. | |||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||||
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